A novel concept of (m, n)-ary subhypermodules in the framework of fuzzy sets

This paper provides a continuation of ideas presented by Davvaz and Corsini in [20]. We introduce the concepts of (∈, ∈ ∨qk)-fuzzy (m, n)-ary subhypermodules and (∈, ∈ ∨ qk)-fuzzy (m, n)-ary subhypermodules in an (m, n)-ary hypermodule, which are generalization of the concepts as given in [20]. Different classes of (m, n)-ary hypermodules are characterized by the properties of these fuzzy (m, n)-ary subhypermodules. Using the notion of fuzzy (m, n)-ary subhypermodule with thresholds, characterization of fuzzy (m, n)-ary subhypermodules, (∈, ∈ ∨qk)-fuzzy (m, n)-ary subhypermodules and (∈, ∈ ∨ qk)-fuzzy (m, n)-ary subhypermodules are discussed.

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