Affiliations: [a] Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey
| [b] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence:
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Corresponding author. O. Kazancı, Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey. Tel.: +90 4623772565; Fax: +90 4623253195; E-mail: [email protected].
Abstract: 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 (∈¯,∈¯∨q¯k)-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 (∈¯,∈¯∨q¯k)-fuzzy (m, n)-ary subhypermodules are discussed.
