Fixed Pansystems Theorems and Eigen-Fuzzy Sets

Wang Shu-ji

Volume 10 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(9): 833-839

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.

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Fixed Pansystems Theorems and Eigen-Fuzzy Sets

Wang Shu-ji

Wuhan Digital Engineering Institute, Wuhan

Received Date: 1985-09-26
Publish Date: 1989-09-15

Abstract

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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References(6)

References

[1]	Wu Xue-mou,F fixed pansystems theorems and pansystems catastrophe analysis of panweighted network,数学研究与评论,2(1984).
[2]	高隆颖、王书基,泛对称与不动泛系定理,应用数学和力学,5,5 (1984),743-748.
[3]	李贵华,不动泛系定理的数量相结构的特征描述,应用数学和力学,5,5 (1984),887-894.
[4]	林履端,对角占优的Fuzzy变换及其Fuzzy特征集,模糊数学,3 (1983).
[5]	Sims,B. T.,Fundamental of Topologg,New York(1976).
[6]	张石生. Fuzzy映射的不动点定理.应用数学和力学,5, 2 (1984),297-304.

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