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 no...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.展开更多
文摘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.