Characterizations of hoop-algebras via generalized hesitant fuzzy filters

Yong Wei Yang, Ling Ling Lu, Qian Liu


As a generalization of hesitant fuzzy filters of hoop-algebras, we introduce the concept of (M,N)-hesitant fuzzy filters. Some properties of (M,N)-hesitant fuzzy filters are derived, and the relationship between filter and (M,N)-hesitant fuzzy filters is investigated. Several conditions for a hesitant fuzzy set to be a (M,N)-hesitant fuzzy filter are presented. 


hoop-algebras, (M,N)-hesitant fuzzy filters, hesitant fuzzy sets

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