Fixed Pansystems Theorems and Eigen-Fuzzy Sets

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Wang Shu-ji. Fixed Pansystems Theorems and Eigen-Fuzzy Sets[J]. Applied Mathematics and Mechanics, 1989, 10(9): 833-839.

Citation:

Wang Shu-ji. Fixed Pansystems Theorems and Eigen-Fuzzy Sets[J]. Applied Mathematics and Mechanics, 1989, 10(9): 833-839.

Citation:

Wang Shu-ji. Fixed Pansystems Theorems and Eigen-Fuzzy Sets[J]. Applied Mathematics and Mechanics, 1989, 10(9): 833-839.

Abstract

In this paper, we apply fixed pansystems theorems to study when a fuzzy transformation has a nonzero eigen-fuzzy set.Many necessary conditions and sufficient conditions are obtained.Furthermore, the properties of nonzero eigen-fuzzy sets are investigated, and the results presented in Ref.[4] are extended.

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