Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (9): 877-883.

• 论文 • 上一篇    

FIXED PANSYSTEMS THEOREMS AND EIGEN-FUZZY SETS

王书基   

  1. Wuhan Digital Engineering Institute, Wuhan
  • 收稿日期:1985-09-26 出版日期:1989-09-18 发布日期:1989-09-18

FIXED PANSYSTEMS THEOREMS AND EIGEN-FUZZY SETS

Wang Shu-ji   

  1. Wuhan Digital Engineering Institute, Wuhan
  • Received:1985-09-26 Online:1989-09-18 Published:1989-09-18

摘要: 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.

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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