My Early Researches on Fuzzy Set and Fuzzy Logic
Keywords:fuzzy subgroup, fuzzy integral, binary numeral system, IQ test, artificial intelligence
This paper presents the author’s works on fuzzy sets and fuzzy systems in early 1980’s to celebrate the 100-year birthday of Lotfi A. Zadeh. They were originally published in Chinese. The first part of the paper is about an isomorphic theorem on fuzzy subgroups and fuzzy series of invariant subgroups, which could be a theoretical basis when the multiple-valued computer system will be reconsidered or redeveloped in the future. The second part of the paper describes the convergence theorem of fuzzy integral of type II which was contributed by Wenxiu Zhang and Ruhuai Zhao. Both fuzzy integral of type I developed by M. Sugeno and the fuzzy integral of type II have been playing an important role in the design of various engineering devices for last 40 years.
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 Liu, F.; Shi, Y. (2014). The search engine IQ test based on the Internet IQ evaluation algorithm. Procedia Computer Science, 31, 1066-1073, 2014. https://doi.org/10.1016/j.procs.2014.05.361
 Liu, F.; Shi, Y.; Liu, Y. (2017). Intelligence quotient and intelligence grade of artificial intelligence. Annals of Data Science, 4(2), 179-191, 2017. https://doi.org/10.1007/s40745-017-0109-0
 Liu, F.; Shi, Y.; Wang, B. (2015) World search engine IQ test based on the internet IQ evaluation algorithms. International Journal of Information Technology & Decision Making, 14(02), 221-237, 2015. https://doi.org/10.1142/S0219622015500030
 MIT Technology Review. October 13, 2017.
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 Shi, Y. (1981). Another isomorphic theorem on fuzzy subgroups and fuzzy series of invariant subgroups. Journal of Southwestern Petroleum Institute, 1981. (In Chinese)
 Shi, Y. (1981). Convergence theorem of fuzzy integral of type II. Journal of Southwestern Petroleum Institute, 1981. (In Chinese)
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 Zhang, W.; Zhao, R. (1980). Generalization of fuzzy measure and fuzzy integral Science Report of Xi'an Jiaotong University, 1980. (In Chinese)
 Zheng, D.; Jinli Huang, J.(1980). The neighborhood theorem of quasi-fixed points and the convergence theorem in measure of fuzzy integral Modern Cybernetics Information, 1980. (In Chinese)
 Zou, K. (1981). Fuzzy group theory. Collection of Graduate Papers of Mathematics Department of Beijing Normal University, 1981. (In Chinese)
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