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

作者：Kazanci O^*; Davvaz B; Yilmaz S

来源：Journal of Intelligent and Fuzzy Systems, 2017, 32(3): 2437-2446.

DOI：10.3233/JIFS-16419

• (m,n)-ary hypermodules
• (is an element of, is an element of boolean OR q(k))- fuzzy (m, n)-ary subhypermodules
• ((is an element of)over-bar, (is an element of)over-bar boolean OR (q(k))over-bar)-fuzzy (m, n)-ary subhypermodules
• fuzzy (m, n)-ary subhypermodules with thresholds

This paper provides a continuation of ideas presented by Davvaz and Corsini in [20]. We introduce the concepts of (is an element of, is an element of boolean OR q(k))- fuzzy (m, n)-ary subhypermodules and ((is an element of) over bar, (is an element of) over bar boolean OR (q) over bar (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, (is an element of, is an element of boolean OR q(k))-fuzzy (m, n)-ary subhypermodules and ((is an element of) over bar, (is an element of) over bar boolean OR (q) over bar (k))-fuzzy (m, n)-ary subhypermodules are discussed.

• 出版日期2017