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
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Communicated by Wu Xue-mou
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Shu-ji, W. Fixed pansystems theorems and eigen-fuzzy sets. Appl Math Mech 10, 877–883 (1989). https://doi.org/10.1007/BF02013755
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DOI: https://doi.org/10.1007/BF02013755