Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh

  • Ioan Dzitac 1. Aurel Vlaicu University of Arad, Romania 2. Agora University of Oradea 410526 Oradea, P-ta Tineretului 8, Romania
  • Florin Gheorghe Filip Romanian Academy Calea Victoriei 125, Sector 1, 010071 Bucharest, Romania
  • Misu-Jan Manolescu Agora University of Oradea 410526 Oradea, P-ta Tineretului 8, Romania

Abstract

In 1965 Lotfi A. Zadeh published "Fuzzy Sets", his pioneering and controversial paper, that now reaches almost 100,000 citations. All Zadeh’s papers were cited over 185,000 times. Starting from the ideas presented in that paper, Zadeh founded later the Fuzzy Logic theory, that proved to have useful applications, from consumer to industrial intelligent products. We are presenting general aspects of Zadeh’s contributions to the development of Soft Computing(SC) and Artificial Intelligence(AI), and also his important and early influence in the world and in Romania. Several early contributions in fuzzy sets theory were published by Romanian scientists, such as: Grigore C. Moisil (1968), Constantin V. Negoita & Dan A. Ralescu (1974), Dan Butnariu (1978). In this review we refer the papers published in "From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence" (2008, Eds.: L.A. Zadeh, D. Tufis, F.G. Filip, I. Dzitac), and also from the two special issues (SI) of the International Journal of Computers Communications & Control (IJCCC, founded in 2006 by I. Dzitac, F.G. Filip & M.J. Manolescu; L.A. Zadeh joined in 2008 to editorial board). In these two SI, dedicated to the 90th birthday of Lotfi A. Zadeh (2011), and to the 50th anniversary of "Fuzzy Sets" (2015), were published some papers authored by scientists from Algeria, Belgium, Canada, Chile, China, Hungary, Greece, Germany, Japan, Lithuania, Mexico, Pakistan, Romania, Saudi Arabia, Serbia, Spain, Taiwan, UK and USA.

References

[1] Abbasov A.M., Shahbazova S.N. (2015); Functional Solution of the Knowledge Level Control Problem: The Principles of Fuzzy Logic Rules and Linguistic Variables, in D.E. Tamir et al. (eds.), Fifty Years of Fuzzy Logic and its Applications, Studies in Fuzziness and Soft Computing, Springer International Publishing, Switzerland, 25-38, 2015.
https://doi.org/10.1007/978-3-319-19683-1_2

[2] Alb-Lupas A., Oros G. (2015); On special fuzzy differential subordinations using Salagean and Ruscheweyh operators, Applied Mathematics and Computation, 261, 119-127, 2015.
https://doi.org/10.1016/j.amc.2015.03.087

[3] Andonie R., Sasu L.M., Cataron A. (2009); A Novel Fuzzy ARTMAP Architecture with Adaptive Feature Weights based on Onicescu's Informational Energy, International Journal of Computers Communications & Control, 4(2), 104-117, 2009.
https://doi.org/10.15837/ijccc.2009.2.2418

[4] Ashraf S., Rehman A., Kerre E.E. (2015); Group Decision Making with Incomplete Intervalvalued Fuzzy Preference Relations Based on the Minimum Operator, International Journal of Computers Communications & Control, 10(6), 789-802, 2015.

[5] Balakrishnan M., Johnson E.E. (2006); Fuzzy diffusion analysis: Decision significance and applicable scenarios, Proc. of IEEE Military Communications Conference, 1, 2175-2181, 2006.
https://doi.org/10.1109/MILCOM.2006.302180

[6] Balas M.M., Balas V.E. (2008); World Knowledge for Control Applications by Fuzzy- Interpolative Systems International Journal of Computers Communications & Control, 3(Supplement: S), 28-32, 2008.

[7] Balas M.M., Balas V.E. (2008), World Knowledge for Controllers by Fuzzy-Interpolative Systems, 11-21, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 2008.

[8] Balas V.E., Balas M.M. (2008), A Survey on the Constant Time to Collision Techniques, 22-31, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 2008.

[9] Ban A.I., Coroianu L. (2012); Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity, International Journal of Approximate Reasoning, 53(5), 805-836, 2012.
https://doi.org/10.1016/j.ijar.2012.02.001

[10] Bazoula A., Djouadi M.S., Maaref H. (2008); Formation Control of Multi-Robots via Fuzzy Logic Technique, International Journal of Computers Communications & Control, 3(Supplement: S), 179 -184, 2008.

[11] Bede B. (2013); Mathematics of Fuzzy Sets and Fuzzy Logic, Book Series: Studies in Fuzziness and Soft Computing, 295, 1-276, 2013.
https://doi.org/10.1007/978-3-642-35221-8

[12] Bede B., Gal S.G. (2005); Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations, Fuzzy Setts and Systems, 151(3), 581-599, 2005.
https://doi.org/10.1016/j.fss.2004.08.001

[13] Bellman R.E., Zadeh L.A. (1970); Decision making in a fuzzy environment, Management Science, 17, 141-164, 1970.
https://doi.org/10.1287/mnsc.17.4.B141

[14] Benitez-Perez H., Cardenas-Flores F., Garcia-Nocetti F. (2011); Reconfigurable Takagi- Sugeno Fuzzy Logic Control for a Class of Nonlinear System considering Communication Time Delays on Peripheral Elements, International Journal of Computers Communications & Control, 6(3), 387-402, 2011.

[15] Blair B. (1994); Interview with Lotfi Zadeh, Creator of Fuzzy Logic, Azerbaijada International, http://www.azer.com/aiweb/categories/magazine/24\_folder/24\_articles/ 24\_fuzzylogic.html

[16] Bologa O., Breaz R.E., Racz S.G. (2015); A Fuzzy-based Decision Support Tool for Engineering Curriculum Design, International Journal of Computers Communications & Control, 10(6), 803-811, 2015.

[17] Bonissone P.P., Badami V., Chiang K.H., Khedkar P.S., Marcelle K.W., Schutten M.J. (1995), Industrial Applications of Fuzzy Logic at General Electric, Proceedings of IEEE, 83(3), 450-465, 1995.
https://doi.org/10.1109/5.364490

[18] Buciu I., Nafornita I. (2008), Non-Negative Matrix Factorization Methods and their Applications, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 32-50, 2008.

[19] Butnariu D. (1978); Fuzzy games. A description of the concept, Fuzzy Sets and Systems, 1, 181-192, 1978.
https://doi.org/10.1016/0165-0114(78)90003-9

[20] Butnariu D. (1979); Solution concepts for n-person fuzzy games, in M.M. Gupta et al. (eds), Advances in Fuzzy Sets. Theory and Applications North-Holland, Amsterdam, 339- 359, 1979.

[21] Butnariu D. (1982); Fixed-points for fuzzy mappings, Fuzzy Sets and Systems, 7(2), 191-207, 1982.
https://doi.org/10.1016/0165-0114(82)90049-5

[22] Butnariu D. (1983); Additive Fuzzy Measures and Integrals I, Journal of Mathematical Analysis and Applications, 93, 436-452, 1983.
https://doi.org/10.1016/0022-247X(83)90186-5

[23] Chen Y.-L., Wang J.-W., Lin Y.-S., Wen J.-H. (2011); Combined Fuzzy-Based Power Control with Window-Based Transmission Rate Management in Multimedia CDMA Cellular Systems, International Journal of Electronics and Communications, 65(4), 377-383, 2011.
https://doi.org/10.1016/j.aeue.2010.04.009

[24] Choi B., Han S., Hong S. (1998), Refrigerator Temperature Control Using Fuzzy Logic and Neural Network, IEEE International Symposium on Industrial Electronics, 1, 186-191, 1998.

[25] Crisan G.C., Nechita E. (2008); Solving Fuzzy TSP with Ant Algorithms, International Journal of Computers Communications & Control, 3(Supplement: S), 228-231, 2008.

[26] Chrysostomou C., Pitsillides A., Sekercioglu A. (2009); Fuzzy Explicit Marking: A Unified Congestion Controller for Best-effort and Diff-serv Networks, Computer Networks Journal (COMNET), 53(5), 650-667, 2009.
https://doi.org/10.1016/j.comnet.2008.11.002

[27] Chira C., Pintea C.M., Dumitrescu D. (2008), A Multi-Agent Stigmergic Model for Complex Optimization Problems, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 51-62, 2008.

[28] Cordova F.M., Quezada L.E. (2008), Conceptual Model of an Intelligent Supervising System for Evaluating Policies in the Operation of an Underground Mine, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 63-83, 2008.

[29] Dishkant H. (1981), About membership function estimation, Fuzzy Sets and Systems, 5, 141-147, 1981.
https://doi.org/10.1016/0165-0114(81)90012-9

[30] Dragomir O., Gouriveau R., Zerhouni N. (2008); Adaptive Neuro-Fuzzy Inference System for Mid Term Prognostic Error Stabilization, International Journal of Computers Communications & Control, 3(Supplement: S), 271-276, 2008.

[31] Du Z.-B., Lin T.-C., Zhao T.-B. (2015); Fuzzy Robust Tracking Control for Uncertain Nonlinear Time-Delay System, International Journal of Computers Communications & Control, 10(6), 812-824, 2015.

[32] Dubois D., Prade H. (1980); Fuzzy Sets and Systems: Theory and Applications, Academic Press, 1980.

[33] Dubois D., Prade H. (1985), A review of fuzzy set aggregation connectives, Information Science, 36, 85-121, 1985.
https://doi.org/10.1016/0020-0255(85)90027-1

[34] Dubois D., Prade H. (eds.) (2000); Fundamentals of Fuzzy Sets, Kluwer Academic Publishers, 2000.

[35] Duta L., Zamfirescu C.B., Filip, F.G. (2014); Mathematical Decision Model for Reverse Supply Chains Inventory, International Journal of Computers Communications & Control, 9(6), 686-7693, 2014.
https://doi.org/10.15837/ijccc.2014.6.1473

[36] Dzitac I., The Fuzzification of Classical Structures: A General View, International Journal of Computers Communications & Control, 10(6), 772-788, 2015.
https://doi.org/10.15837/ijccc.2015.6.2069

[37] Dzitac I. (2008); ICCCC 2008 & EWNLC 2008 Celebrates Bardeen's Centenary and Welcomes Professor Zadeh, International Journal of Computers Communications & Control, 3(Supplement: S), 16-25, 2008.

[38] Dzitac I., Barbat B.E.(2008); Artificial Intelligence + Distributed Systems = Agents, International Journal of Computers Communications & Control, 4(1), 17-26, 2009.
https://doi.org/10.15837/ijccc.2009.1.2410

[39] Dzitac I., Vesselenyi T., Tarca R.C. (2011), Identification of ERD using Fuzzy Inference Systems for Brain-Computer Interface, International Journal of Computers Communications & Control, 6(3), 403-417, 2011.
https://doi.org/10.15837/ijccc.2011.3.2125

[40] Dzitac S., Felea I., Dzitac I., Vesselenyi T. (2008); An Application of Neuro-Fuzzy Modelling to Prediction of Some Incidence in an Electrical Energy Distribution Center, International Journal of Computers Communications & Control, 3(Supplement: S), 287-292, 2008.

[41] Dzitac S., Felea I., Dzitac I., Vesselenyi T. (2008), Neuro-Fuzzy Modeling of Event Prediction using Time Intervals as Independent Variables, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 84-99, 2008.

[42] Eklund P., Gahler W. (1988); Basic notions for fuzzy topology, Fuzzy Sets and Systems, 26: 333–356, 1988.
https://doi.org/10.1016/0165-0114(88)90127-3

[43] Feng G. (2006), A Survey on Analysis and Design of Model-Based Fuzzy Control Systems, IEEE Transactions on Fuzzy Systems, 14(5), 676-697, 2006.
https://doi.org/10.1109/TFUZZ.2006.883415

[44] Georgescu G., Popescu A. (2004); Non-dual fuzzy connections, Archive for Mathematical Logic, 43(8), 1009-1039, 2004.
https://doi.org/10.1007/s00153-004-0240-4

[45] Goguen J. (1968), Categories of Fuzzy Sets: Applications of a Non-Cantorian Set Theory, Ph.D. Thesis. University of California at Berkeley, June 1968.

[46] Goguen J. (1973); The fuzzy Tychonoff theorem, J. of Math. Analysis and Applications, 43, 734–742, 1973.
https://doi.org/10.1016/0022-247X(73)90288-6

[47] Goguen J. (1967), L-Fuzzy Sets, Journal of Mathematical Analysis and Applications, 18, 145-174, 1967.
https://doi.org/10.1016/0022-247X(67)90189-8

[48] Goguen J. (1969), The Logic of Inexact Concepts, Synthese, 19, 325-373, 1969.
https://doi.org/10.1007/BF00485654

[49] Hammerbacher J.M., Yager R.R. (1981), The personalization of security:An application of fuzzy set theory, Fuzzy Sets and Systems, 5, 1-9, 1981.
https://doi.org/10.1016/0165-0114(81)90029-4

[50] Hersh H.M., Caramazza A., Brownell H.H. (1979), Effects of context on fuzzy membership functions, in: M.M. Gupta et al.(eds) Advances in Fuzzy Set Theory and Applications, Amsterdam, New York, Oxford, 1979.

[51] Hirota K. (1993); Industrial Applications of Fuzzy Technology, Springer, 1993.

[52] Jain R. (1976); Tolerance analysis using fuzzy sets, Int. J. Syst, 7(12), 1393–1401.
https://doi.org/10.1080/00207727608942013

[53] John R., S. Coupland S. (2007); Type-2 Fuzzy Logic: A Historical View, IEEE Computational Intelligence Magazine, 2(1), 57-62, 2007.
https://doi.org/10.1109/MCI.2007.357194

[54] Kaleva O., Seikkala S. (1984); On fuzzy metric spaces, Fuzzy Sets and Systems, 12, 215–229, 1984.
https://doi.org/10.1016/0165-0114(84)90069-1

[55] Kaufmann A. (1975); Introduction to the Theory of Fuzzy Subsets: Fundamental theoretical elements, Academic Press, 1975.

[56] Kreinovich V., Stylios C. (2015); Why Fuzzy Cognitive Maps Are Efficient, International Journal of Computers Communications & Control, 10(6), 825-833, 2015.

[57] Lefranc G. (2008), Towards to Colony of Robots, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 100-128, 2008.

[58] Lin T.C., Kuo C.H., Balas V.E. (2011); Uncertain Fractional Order Chaotic Systems Tracking Design via Adaptive Hybrid Fuzzy Sliding Mode Control, International Journal of Computers Communications & Control, 6(3), 418-428, 2011.
https://doi.org/10.15837/ijccc.2011.3.2127

[59] Lupulescu V. (2009); On a class of fuzzy functional differential equations, Fuzzy Sets and Systems, 160(11), 1547-1562, 2009.
https://doi.org/10.1016/j.fss.2008.07.005

[60] Mamdani E.H. (1977), Application of fuzzy logic to approximate reasoning, IEEE Trans. Comput., 26, 1182-1191, 1977.
https://doi.org/10.1109/TC.1977.1674779

[61] Mamdani E.H., Assilian S. (1975), An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller, International Journal of Man-Machine Studies, 7(1), 1-13, 1975.
https://doi.org/10.1016/S0020-7373(75)80002-2

[62] Marin-Perianu M., Havinga P.J.M. (2007); D-FLER: A distributed fuzzy logic enginefor rulebased wireless sensor networks, Proc. of International Symposium on Ubiquitous Computing Systems (UCS), 86-101, 2007.

[63] Meyer A., Zimmermann H.-J. (2011), Applications of Fuzzy Technology in Business Intelligence, International Journal of Computers Communications & Control, 6(3), 428-441, 2011.
https://doi.org/10.15837/ijccc.2011.3.2128

[64] Mizumoto M., Tanaka J. (1979); Some properties of fuzzy numbers, in M.M. Gupta et al. (eds.), Advances in Fuzzy Set Theory and Applications, 153–164, 1979.

[65] Mihet D. (2004); A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems, 144(3), 431-439, 2004.
https://doi.org/10.1016/S0165-0114(03)00305-1

[66] Molnarka G.I., Koczy L.T. (2011), Decision Support System for Evaluating Existing Apartment Buildings Based on Fuzzy Signatures, International Journal of Computers Communications & Control, 6(3), 442-457, 2011.
https://doi.org/10.15837/ijccc.2011.3.2129

[67] Moisil G.C. (1940), Recherches sur les logiques non-chrysippiennes (in French), Ann. Sci. Univ. Jassy, 26, 413-466, 1940

[68] Moisil G.C. (1968), Lukasiewiczian algebras, Preprint, Computing Center, Univ. of Bucharest, 1-25, 1968.

[69] Moisil G.C. (1972), Essais sur les logiques non chrysippiennes (in French), Editions de l'Academie, Bucharest, 1972.

[70] Moisil I. (2016), The wonderful adventures of the mathematician in logic-land: From Lukasiewicz-Moisil logic to computers, Computers Communications and Control (ICCCC), 2016 6th International Conference on, 1-9, DOI: 10.1109/ICCCC.2016.7496730, 2016.
https://doi.org/10.1109/ICCCC.2016.7496730

[71] Nadaban S. (2015); Fuzzy Continuous Mappings in Fuzzy Normed Linear Spaces, International Journal of Computers Communications & Control, 10(6), 834-842, 2015.
https://doi.org/10.15837/ijccc.2015.6.2074

[72] Nadaban S. (2014); Fuzzy pseudo-norms and fuzzy F-spaces, Fuzzy Sets and Systems, 282, 99-114, 2016.

[73] Nadaban S., Dzitac I. (2014), Atomic Decompositions of Fuzzy Normed Linear Spaces for Wavelet Applications, Informatica, 25(4), 643-662, 2014.
https://doi.org/10.15388/Informatica.2014.33

[74] Nadaban S., Dzitac I. (2016), Some Properties and Applications of FuzzyQuasi-Pseudo- Metric Spaces, Informatica, 27(1), 141-150, 2016.
https://doi.org/10.15388/Informatica.2016.73

[75] Nadaban S., Dzitac S., Dzitac I. (2016); Fuzzy TOPSIS: A General View, Procedia Computer Science, 91, 823-831, 2016.
https://doi.org/10.1016/j.procs.2016.07.088

[76] Negoita C.V., Ralescu D.A. (1974), Fuzzy Sets and Their Applications (in Romanian), Ed. Tehnica, Bucharest, 1974.

[77] Negoita C.V., Ralescu D.A. (1975), Applications of Fuzzy Sets to Systems Analysis, Springer Basel, 1975.

[78] Negoita C.V. (1981), Fuzzy Systems, Abacus Press, Tunbridge Wells, UK, 1981.

[79] Negoita C.V.(1985), Expert Systems and Fuzzy Systems, Benjamin Cummings, Menlopark, CA, 1985.

[80] Negoita C.V. (2000), Fuzzy Sets, Newfalcon Publications, Tempe, AZ, 2000.

[81] Negoita C.V. (2011); Remembering the Beginnings, International Journal of Computers Communications & Control, 6(3), 458-461, 2011.
https://doi.org/10.15837/ijccc.2011.3.2130

[82] Nikolova N., Ahmed S., Tenekedjiev K. (2008); Generic Procedure for Construction of a Multi-Dimensional Utility Function under Fuzzy Rationality, International Journal of Computers Communications & Control, 3(Supplement: S), 422-426, 2008.

[83] Nikolova N., Toneva D., Ahmed S., Tenekedjiev K. (2008), Constructing Multi-dimensional Utility Function under Different Types of Preferences over the Fundamental Vector Attributes, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 129 -149, 2008.

[84] Nyirenda C.N., Dong F., Hirota K. (2011); Distance Based Triggering and Dynamic Sampling Rate Estimation for Fuzzy Systems in Communication Networks, International Journal of Computers Communications & Control, 6(3), 462-472, 2011.
https://doi.org/10.15837/ijccc.2011.3.2131

[85] Nyirenda C.N., Dawoud D.S. (2006); Multi-objective Particle Swarm Optimization for Fuzzy Logic Based Active Queue Management, Proc. of the IEEE International Conference in Fuzzy Systems, 2231-2238, 2006.

[86] Oros G.I., Oros G. (2011); The notion of subordination in fuzzy sets theory, General Mathematics, 19(4), 97-103, 2011.

[87] Oros G.I., Oros G. (2012); Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babes-Bolyai Math., 57(2), 239-248, 2012.

[88] Pop B., Dzitac I. (2006); On a fuzzy linguistic approach to solving multiple criteria fractional programming problem, International Journal of Computers Communications & Control, 1(Supplement: S), 381-385, 2006.

[89] Precup R.-E., Preitl S. (2006); Stability and Sensitivity Analysis of Fuzzy Control Systems. Mechatronics Applications, CActa Polytechnica Hungarica, 3(1), 61-76, 2006.

[90] Precup R.-E., Hellendoorn H. (2011); A survey on industrial applications of fuzzy control, Computers in Industry, 62(3), 213-226, 2011.
https://doi.org/10.1016/j.compind.2010.10.001

[91] Precup R.-E., Tomescu M.L., Petriu E.M. (2015); A Unified Anti-Windup Technique for Fuzzy and Sliding Mode Controllers, International Journal of Computers Communications & Control, 10(6), 843-854, 2015.

[92] Radojevic D.G. (2008); Fuzzy Set Theory in Boolean Frame, International Journal of Computers Communications & Control, 3(Supplement: S), 121-131, 2008.

[93] Radojevic D.G. (2008), Real Sets as Consistent Boolean Generalization of Classical Sets, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 150-171, 2008.

[94] del Rosal E., Nunez R., Castaneda C., Ortega A. (2008), Simulating NEPs in a Cluster with jNEP, pp. 172-184, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 150-171, 2008.

[95] Ralescu A.L., Ralescu D.A. (1984); Probability and fuzziness, Information Sciences, 34(2), 85-92, 1984.
https://doi.org/10.1016/0020-0255(84)90018-5

[96] Ralescu A.L., Ralescu D.A. (1997); Extensions of fuzzy aggregation, Fuzzy Sets and Systems, 86(3), 321-330, 1997.
https://doi.org/10.1016/0165-0114(95)00411-4

[97] Rudas I.J., Fodor J. (2008), Soft Computing for Intelligent Systems, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 185-195, 2008.

[98] Reformat M.Z., Yager R.R., Li Z., Alajlan N. (2011); Human-inspired Identification of Highlevel Concepts using OWA and Linguistic Quantifiers, International Journal of Computers Communications & Control, 6(3), 473-502, 2011.
https://doi.org/10.15837/ijccc.2011.3.2132

[99] Ruan D. (1990); A critical study of widely used fuzzy implication operators and the inference rules in fuzzy expert systems, Ph.D. Thesis, Gent 1990.

[100] Rudeanu S. (1993); On Lukasiewicz-Moisil algebras of fuzzy sets, Studia Logica, 52(1), 95-111, 1993.
https://doi.org/10.1007/BF01053066

[101] Sahab N., Hagras H. (2011); Adaptive Non-singleton Type-2 Fuzzy Logic Systems: A Way Forward for Handling Numerical Uncertainties in Real World Applications, International Journal of Computers Communications & Control, 6(3), 503-529, 2011.
https://doi.org/10.15837/ijccc.2011.3.2133

[102] Sahab N., Hagras H. (2011), An Adaptive Type-2 Input Based Non-Singleton Type-2 Fuzzy Logic System for RealWorld Applications, IEEE International conference on Fuzzy Systems, 509-516, 2011.

[103] Salski A. (1999), Ecological Modeling and Data Analysis, in: H.-J. Zimmermann (ed.): Practical Applications of Fuzzy Technologies, Kluwer Academic Publ., Boston, 247-266, 1999.
https://doi.org/10.1007/978-1-4615-4601-6_7

[104] Seising R. (2011), From Electrical Engineering and Computer Science to Fuzzy Languages and the Linguistic Approach of Meaning: The non-technical Episode: 1950-1975, International Journal of Computers Communications & Control, 6(3), 530-561, 2011.
https://doi.org/10.15837/ijccc.2011.3.2134

[105] Schmitt I., Nurnberger A., Lehrack S. (2009); On the Relation between Fuzzy and Quantum Logic, In: Seising R. (eds) Views on Fuzzy Sets and Systems from Different Perspectives. Studies in Fuzziness and Soft Computing, vol 243, Chapter 20, Springer, Berlin, Heidelberg, 2009.
https://doi.org/10.1007/978-3-540-93802-6_20

[106] Stancu-Minasian I.M., Pop B. (2003); On a fuzzy set approach to solving multiple objective linear fractional programming problem, Fuzzy Sets and Systems, 134(3), 397-405, 2003.
https://doi.org/10.1016/S0165-0114(02)00142-2

[107] Stanojevic B., Dzitac I., Dzitac S. (2015), On the ratio of fuzzy numbers exact membership function computation and applications to decision making, Technological and Economic Development of Economy, 21(5), 815-832, 2015.
https://doi.org/10.3846/20294913.2015.1093563

[108] Stefanescu G., Chira C. (2008), New Parallel Programming Language Design: A Bridge between Brain Models and Multi-Core/Many-Core Computers?, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 196-210, 2008.

[109] Tamir D.E., Kandel A. (2011); Axiomatic Theory of Complex Fuzzy Logic and Complex Fuzzy Classes, International Journal of Computers Communications & Control, 6(3), 562- 576, 2011.
https://doi.org/10.15837/ijccc.2011.3.2135

[110] Tang X., Shu L. (2015); An Improved Attribute Reduction Algorithm based on Granular Computing, International Journal of Computers Communications & Control, 10(6), 856- 864, 2015.
https://doi.org/10.15837/ijccc.2015.6.2076

[111] Teodorescu H.-N.L. (2011); On the meaning of approximate reasoning: An unassuming subsidiary to Lotfi Zadeh's paper dedicated to the memory of Grigore Moisil, International Journal of Computers Communications & Control, 6(3), 577-580, 2011.
https://doi.org/10.15837/ijccc.2011.3.2136

[112] Teodorescu H.-N.L. (2015); A Retrospective Assessment of Fuzzy Logic Applications in Voice Communications and Speech Analytics, International Journal of Computers Communications & Control, 10(6), 865-872, 2015.

[113] Teodorescu H.-N.L. (2015); In Memoriam Lotfi A. Zadeh, Memoirs of the Scientific Sections of the Romanian Academy, Tome XL, 2017.

[114] Thole U., Zimmermann H.-J., Zysno P. (1979), On the suitability of minimum and product operators for the intersection of fuzzy sets, Fuzzy Sets and Systems, 2, 167-180, 1979.
https://doi.org/10.1016/0165-0114(79)90023-X

[115] Tufis D. (2008), Playing with Word Meanings, in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 211-223, 2008.

[116] Trillas E. (2011); Lotfi A. Zadeh: On the man and his work, Scientia Iranica, 18(3), 574-579, 2011.
https://doi.org/10.1016/j.scient.2011.05.001

[117] Turskis Z., Zavadskas E.K.,Antucheviciene J., Kosareva N. (2015); A Hybrid Model Based on Fuzzy AHP and Fuzzy WASPAS for Construction Site Selection, International Journal of Computers Communications & Control, 10(6), 873-888, 2015.

[118] Vesselenyi T., Dzitac S., Dzitac I., Manolescu M.J. (2007), Fuzzy and neural controllers for a pneumatic actuator, International Journal of Computers Communications & Control, 2(4), 375-387, 2007.
https://doi.org/10.15837/ijccc.2007.4.2368

[119] Vesselenyi T., Dzitac I., Dzitac S., Vaida V. (2008), Surface Roughness Image Analysis using Quasi-Fractal Characteristics and Fuzzy Clustering Methods, International Journal of Computers Communications & Control, 3(3), 304-316, 2008.
https://doi.org/10.15837/ijccc.2008.3.2398

[120] Wang H.-D., Guo S.-C., Hosseini Bamakan S.M., Shi Y. (2015); Homeomorphism Problems of Fuzzy Real Number Space and The Space of Bounded Functions with Same Monotonicity on [-1,1], International Journal of Computers Communications & Control, 10(6), 889-903, 2015.

[121] Wang T., G. Zhang G., Perez-Jimenez M.J. (2015); Fuzzy Membrane Computing: Theory and Applications, International Journal of Computers Communications & Control, 10(6), 904-935, 2015.

[122] Wu D., Tan W.W. (2006), Genetic Learning and Performance Evaluation of Interval Type- 2 Fuzzy Logic Controllers, Engineering Applications of Artificial Intelligence, 19(8), 829-841, 2006.
https://doi.org/10.1016/j.engappai.2005.12.011

[123] http://www.johnlewis.com/

[124] http://www.gandhiappliances.com/index.php?main\_page=product\_info\&cPath= 10\_224\&products\_id=5847

[125] Xia F., Zhao W.H., Sun Y.X. , Tian Y.C. (2007); Fuzzy Logic Control Based QoS Management in Wireless Sensor/Actuator Networks, Sensors, 7(12), 3179-3191, 2007.
https://doi.org/10.3390/s7123179

[126] Xu H., Vilanova R. (2015); PI and Fuzzy Control for P-removal in Wastewater Treatment Plant, International Journal of Computers Communications & Control, 10(6), 936-951, 2015.

[127] Yager R.R. (2015); Foreword, International Journal of Computers Communications & Control, 10(6), 771-771, 2015.
https://doi.org/10.15837/ijccc.2015.6.2068

[128] Zadeh F. (1998); My Life and Travels with the Father of Fuzzy Logic, Hardcover, 1998.

[129] Zadeh L.A. (1965), Fuzzy Sets, Information and Control, 8, 338-353, 1965.
https://doi.org/10.1016/S0019-9958(65)90241-X

[130] Zadeh L.A. (1969), Biological Application of the Theory of Fuzzy Sets and Systems, in: Proctor, LD. (ed.): The Proceedings of an International Symposium on Biocybernetics of the Central Nervous System, London: Little, Brown and Comp., 199-206, 1969.

[131] Zadeh L.A. (1971), Toward Fuzziness in Computer Systems: Fuzzy Algorithms and Languages, in: Architecture and Design of Digital Computers, G. Boulaye (ed.), Paris: Dunod, 9-18, 1971.

[132] Zadeh L.A. (1973), Outline of a New Approach to the Analysis of Complex Systems and Decision Processes, IEEE Transactions on Systems, Man, and Cybernetics, 28-44, 1973.
https://doi.org/10.1109/TSMC.1973.5408575

[133] Zadeh, L.A. (1975); The concept of a linguistic variable and its application to approximate reasoning, parts 1,2 and 3, Inf. Sciences, 8: 199–249, 8: 301–357, 9: 43–80, 1975.

[134] Zadeh L.A. (1975), Fuzzy Logic and Approximate Reasoning (In Memory of Grigore Moisil), Synthese, 30, 407-428, 1975.
https://doi.org/10.1007/BF00485052

[135] Zadeh L.A. (1988); Fuzzy Logic, IEEE Computer, 21(4), 83-93, 1988.
https://doi.org/10.1109/2.53

[136] Zadeh L.A. (1996), Fuzzy logic = computing with words, Fuzzy Systems, IEEE Transactions on, 4(2), 103–111, 1996.

[137] Zadeh L.A. (1999), From computing with numbers to computing with words - from manipulation of measurements to manipulation of perceptions, IEEE Transactions on Circuits and Systems, 45, 105-119, 1999.
https://doi.org/10.1109/81.739259

[138] Zadeh L.A. (2001), A new direction in AI - toward a computational theory of perceptions, AI Magazine, 22(1), 73-84, 2001.
https://doi.org/10.1007/3-540-45493-4_63

[139] Zadeh L.A., Is there a need for fuzzy logic?, Information Sciences, 178, 2751-2779, 2008.
https://doi.org/10.1016/j.ins.2008.02.012

[140] Zadeh L.A. (2008); A New Frontier in Computation - Computation with Information Described in Natural Language, International Journal of Computers Communications & Control, 3(Supplement: S), 26-27, 2008.

[141] Zadeh L.A. (2008), An Extended Abstract of Workshop's Keynote Lecture: "A New Frontier in Computation - Computation with Information Described in Natural Language", in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 224-225, 2008.

[142] Zadeh L.A. (2008), APPENDIX 1: Slides of PowerPoint Presentation of Workshop's Keynote Lecture: "A New Frontier in Computation - Computation with Information Described in Natural Language", in: L.A.Zadeh, Dan Tufis, F.G.Filip, I.Dzitac (Eds); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Ed. House of Romanian Academy, 227-267, 2008.

[143] Zadeh L.A. (2011); My Life and Work - A Retrospective View, Aplied and Computational Mathematics, Special Issue on Fuzzy Set Theory and Applications, Dedicated to the 90th Birthday of prof. Lotfi A. Zadeh, 10(1), 4-9, 2011.

[144] Zadeh L.A. (2011); Foreword, International Journal of Computers Communications & Control, 6(3), 385-386, 2011.
https://doi.org/10.15837/ijccc.2011.3.2123

[145] Zadeh, L.A., Tufis, D., Filip, F.G., Dzitac I. (2008); From Natural Language to Soft Computing: New Paradigms in Artificial Intelligence, Editing House of the Romanian Academy, 2008.

[146] Zimmermann H.-J. (1980), Testability and meaning of mathematical models in social sciences, Mathematical Modelling, 1, 123-139, 1980.
https://doi.org/10.1016/0270-0255(80)90012-3

[147] Zimmermann H.-J. (1987); Fuzzy Sets, Decision Making, and Expert Systems, Kluwer, Boston, Dodrecht, Lancaster, 1987.

[148] Zimmermann H.-J. (1988), Fuzzy set theory - and inference mechanism, in: G.Mitra (ed.) Mathematical models for decision support, Berlin, Heidelberg, 1988.
https://doi.org/10.1007/978-3-642-83555-1_42

[149] Zimmermann H.-J. (2001), Fuzzy Set Theory and its Applications, fourth edition, Boston, Dodrecht, London, 2001.
https://doi.org/10.1007/978-94-010-0646-0

[150] Zimmermann H.-J., Zysno P. (1980), Latent connectives in human decision making, Fuzzy Sets and Systems, 4, 37-51, 1980.
https://doi.org/10.1016/0165-0114(80)90062-7

[151] Zimmermann H.-J., Zysno P. (1983), Decisions and evaluations by hierarchical aggregation of information, Fuzzy Sets and Systems, 10, 243-266, 1983
https://doi.org/10.1016/S0165-0114(83)80118-3
Published
2017-12-04
How to Cite
DZITAC, Ioan; FILIP, Florin Gheorghe; MANOLESCU, Misu-Jan. Fuzzy Logic Is Not Fuzzy: World-renowned Computer Scientist Lotfi A. Zadeh. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, [S.l.], v. 12, n. 6, p. 748-789, dec. 2017. ISSN 1841-9844. Available at: <http://univagora.ro/jour/index.php/ijccc/article/view/3111>. Date accessed: 17 may 2022.

Keywords

fuzzy sets, fuzzy languages, fuzzy logic, Romanian early contributions, SC, AI, IJCCC.