کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9651729 | 1438534 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The structure analysis of fuzzy sets
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The structure analysis of fuzzy sets The structure analysis of fuzzy sets](/preview/png/9651729.png)
چکیده انگلیسی
Since the naissance of the fuzzy set theory in 1965, it has been applied to many areas extensively. In the applications, people are confronted with the interpretation problem of membership functions frequently. Since each person has his/her own opinion about the meaning of a subjective concept, he/she always has his/her own membership function for the same concept. The applications of the theory, for example fuzzy control and fuzzy reasoning, show the robustness of the (more or less) optionally chosen membership functions. This phenomenon probably reflects the inherent characteristics of fuzzy sets. In order to uncover the reason, many researchers have pay attention to the interpretation of membership functions (fuzzy sets). In this paper, from the quotient space theory and fuzzy equivalence relation, a new structural definition of fuzzy set is given. The “isomorphic principle” and “similarity principle” of fuzzy sets, the necessary and sufficient conditions of the “isomorphism” and “ε-similarity” of two fuzzy equivalence relations, and some properties of the new structural definition are discussed. These results may open up some inherent properties of fuzzy sets and provide a new interpretation of the membership functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Approximate Reasoning - Volume 40, Issues 1â2, July 2005, Pages 92-108
Journal: International Journal of Approximate Reasoning - Volume 40, Issues 1â2, July 2005, Pages 92-108
نویسندگان
Ling Zhang, Bo Zhang,