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My Early Researches on Fuzzy Set and Fuzzy Logic
International Journal of Computers Communications & Control ( IF 2.7 ) Pub Date : 2020-11-30 , DOI: 10.15837/ijccc.2021.1.4090
Yong Shi

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.

中文翻译:

我对模糊集和模糊逻辑的早期研究

本文介绍了作者在1980年代初期为庆祝Lotfi A. Zadeh诞辰100周年而设计的模糊集和模糊系统。它们最初是用中文出版的。本文的第一部分是关于模糊子群和不变子群的模糊系列的一个同构定理,这可能是将来重新考虑或重新开发多值计算机系统的理论基础。本文的第二部分描述了由张文秀和赵如怀贡献的II型模糊积分的收敛定理。在过去的40年中,M。Sugeno开发的I型模糊积分和II型模糊积分在各种工程设备的设计中一直发挥着重要作用。
更新日期:2021-01-18
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