Fuzzy Linear Physical Programming for Multiple Criteria Decision-Making Under Uncertainty

Ahmed ElSayed, Elif Kongar, Surendra M. Gupta

Abstract


This paper presents a newly developed fuzzy linear physical programming (FLPP) model that allows the decision maker to introduce his/her preferences for multiple criteria decision making in a fuzzy environment. The major contribution of this research is to generalize the current models by accommodating an environment that is conducive to fuzzy problem solving. An example is used to evaluate, compare and discuss the results of the proposed model.


Keywords


Decision Support Systems, Fuzzy Goal Programming, Fuzzy Sets and Systems, Heuristics, Linear Physical Programming, Logistics, Multi-criteria Decision Making, Supply Chain

Full Text:

PDF

References


Filip, F.G., A.-M. Suduc, M. Bazoi (2014); DSS in numbers. Technological and Economic Development of Economy, 20(1): 154-164.
http://dx.doi.org/10.3846/20294913.2014.890139

Melnyk, S.A., E.W. Davis, R.E. Spekman, J. Sand (2010); Outcome-Driven Supply Chains, Sloan Management Review, 51(2): 33-38.

Messac, A., S.M. Gupta, B. Akbulut (1996); Linear Physical Programming: A New Approach to Multiple Objective Optimization, Transactions on Operational Research, 8(2): 39-59.

Filip, F.G. (2008); Decision support and control for large-scale complex systems, Annual Reviews in Control, 32(1): 61-70.
http://dx.doi.org/10.1016/j.arcontrol.2008.03.002

Maria, A., C.A. Mattson, A. Ismail-Yahaya, A. Messac (2003); Linear Physical Programming for Production Planning Optimization, Engineering Optimization, 35(1): 19-37.
http://dx.doi.org/10.1080/0305215031000078401

Melachrinoudis, E., A. Messac, H. Min (2005); Consolidating a warehouse network:: A physical programming approach, International Journal of Production Economics, 97(1): 1- 17.
http://dx.doi.org/10.1016/j.ijpe.2004.04.009

Ondemir, O. and S.M. Gupta (2014); A multi-criteria decision making model for advanced repair-to-order and disassembly-to-order system, European Journal of Operational Research, 233(2): 408-419.
http://dx.doi.org/10.1016/j.ejor.2013.09.003

Sanchis, J., M. Martinez, X. Blasco, G. Reynoso-Meza (2010); Modelling preferences in multi-objective engineering design, Engineering Applications of Artificial Intelligence, 23(8): 1255-1264.
http://dx.doi.org/10.1016/j.engappai.2010.07.005

Kongar, E., S.M. Gupta (2009), Solving the disassembly-to-order problem using linear physical programming, International Journal of Mathematics in Operational Research, 1(4): 504- 531.
http://dx.doi.org/10.1504/IJMOR.2009.026279

Lambert, A.J.D.; S.M. Gupta (2005), Disassembly Modeling for Assembly, Maintenance, Reuse, and Recycling, Boca Raton, FL: CRC Press.

Zadeh, L.A. (1965); Fuzzy Sets, Inf. Control, 8: 338-353.
http://dx.doi.org/10.1016/S0019-9958(65)90241-X

Narasimhan, R. (2008), Goal programming in a fuzzy environment, Decision Sciences, 11: 325-338.
http://dx.doi.org/10.1111/j.1540-5915.1980.tb01142.x

Hannan, E.L. (1981), Linear programming with multiple fuzzy goals, Fuzzy Sets and Systems, 6(3): 235-248.
http://dx.doi.org/10.1016/0165-0114(81)90002-6

Tian, Z., H. Huang, L. Guan (2002); Fuzzy Physical Programming and Its Application in Optimizationof Through Passenger Train Plan, International Conference on Traffic and Transportation Studies (ICTTS) Guilin, China: ASCE, 498-503.

Tian, Z., H. Huang, X. Yao, H. Li (2002), Fuzzy physical programming and its application to structural design, China Mechanical Engineering, (24): 2131-2133.

Zhang, X., H.-Z. Huang, L. Yu (2006), Fuzzy preference based Interactive Fuzzy Physical Programming and its application in multi-objective optimization, Journal of Mechanical Science and Technology, 20(6): 731-737.
http://dx.doi.org/10.1007/BF02915937

Huang, H.-Z., X. Zhang, Z.-G. Tian, C.-S. Liu, Y.-K. Gu (2005), Optimal Design of Conic- Cylindrical Gear Reduction Unit Using Fuzzy Physical Programming, Intelligent Information Processing II, Springer: Boston, 191-200.

Ilgin, M.A. and S.M. Gupta (2012), Physical Programming: A Review of the State of the Art, Studies in Informatics and Control, 21(4): 349-366.

Messac, A. (1996), Physical Programming: Effective Optimization for Computational Design, AIAA Journal, 34(1): 149-158.
http://dx.doi.org/10.2514/3.13035

Kosko, B. (1994), Fuzzy systems as universal approximators, IEEE Transactions on Computers, 1994. 43(11): 1329-1333.
http://dx.doi.org/10.1109/12.324566

Peeva, K.; Y. Kyosev (2005), Fuzzy Relational Calculus - Theory, Applications and Software: WORLD SCIENTIFIC, 2005 (Advances in Fuzzy Systems - Applications and Theory).
http://dx.doi.org/10.1142/5683

Sumathi, S.; S. Paneerselvam (2010), Computational Intelligence Paradigms: Theory & Applications Using MATLAB, Boca Raton, FL, USA. : CRC Press.




DOI: https://doi.org/10.15837/ijccc.2016.1.2083



Copyright (c) 2017 Ahmed ElSayed, Elif Kongar, Surendra M. Gupta

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC-BY-NC  License for Website User

Articles published in IJCCC user license are protected by copyright.

Users can access, download, copy, translate the IJCCC articles for non-commercial purposes provided that users, but cannot redistribute, display or adapt:

  • Cite the article using an appropriate bibliographic citation: author(s), article title, journal, volume, issue, page numbers, year of publication, DOI, and the link to the definitive published version on IJCCC website;
  • Maintain the integrity of the IJCCC article;
  • Retain the copyright notices and links to these terms and conditions so it is clear to other users what can and what cannot be done with the  article;
  • Ensure that, for any content in the IJCCC article that is identified as belonging to a third party, any re-use complies with the copyright policies of that third party;
  • Any translations must prominently display the statement: "This is an unofficial translation of an article that appeared in IJCCC. Agora University  has not endorsed this translation."

This is a non commercial license where the use of published articles for commercial purposes is forbiden. 

Commercial purposes include: 

  • Copying or downloading IJCCC articles, or linking to such postings, for further redistribution, sale or licensing, for a fee;
  • Copying, downloading or posting by a site or service that incorporates advertising with such content;
  • The inclusion or incorporation of article content in other works or services (other than normal quotations with an appropriate citation) that is then available for sale or licensing, for a fee;
  • Use of IJCCC articles or article content (other than normal quotations with appropriate citation) by for-profit organizations for promotional purposes, whether for a fee or otherwise;
  • Use for the purposes of monetary reward by means of sale, resale, license, loan, transfer or other form of commercial exploitation;

    The licensor cannot revoke these freedoms as long as you follow the license terms.

[End of CC-BY-NC  License for Website User]


INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL (IJCCC), With Emphasis on the Integration of Three Technologies (C & C & C),  ISSN 1841-9836.

IJCCC was founded in 2006,  at Agora University, by  Ioan DZITAC (Editor-in-Chief),  Florin Gheorghe FILIP (Editor-in-Chief), and  Misu-Jan MANOLESCU (Managing Editor).

Ethics: This journal is a member of, and subscribes to the principles of, the Committee on Publication Ethics (COPE).

Ioan  DZITAC (Editor-in-Chief) at COPE European Seminar, Bruxelles, 2015:

IJCCC is covered/indexed/abstracted in Science Citation Index Expanded (since vol.1(S),  2006); JCR2018: IF=1.585..

IJCCC is indexed in Scopus from 2008 (CiteScore2018 = 1.56):

Nomination by Elsevier for Journal Excellence Award Romania 2015 (SNIP2014 = 1.029): Elsevier/ Scopus

IJCCC was nominated by Elsevier for Journal Excellence Award - "Scopus Awards Romania 2015" (SNIP2014 = 1.029).

IJCCC is in Top 3 of 157 Romanian journals indexed by Scopus (in all fields) and No.1 in Computer Science field by Elsevier/ Scopus.

 

 Impact Factor in JCR2018 (Clarivate Analytics/SCI Expanded/ISI Web of Science): IF=1.585 (Q3). Scopus: CiteScore2018=1.56 (Q2);

SCImago Journal & Country Rank

Editors-in-Chief: Ioan DZITAC & Florin Gheorghe FILIP.