Abstract
This paper considers a relationship between fuzzy sets and (m,n)-ary hypermodules. We introduce the notion of a fuzzy and anti fuzzy (m,n)-ary sub-hypermodules. A generalization of ideas presented by Davvaz and Corsini [Information Sciences 177 (2007) 865-875] and Bhakat and Das [Fuzzy Sets and Systems 80 (1996) 359-368], is presented. In fact, we study (∈, ∈ ∨ q)-fuzzy (m,n)-ary sub-hypermodules. Also, the concept of a fuzzy (m,n)-ary sub-hypermodule with thresholds is investigated.
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