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

Kazanci O., Davvaz B., Yilmaz S.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.32, sa.3, ss.2437-2446, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3233/jifs-16419
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2437-2446
  • Anahtar Kelimeler: (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, N-ARY HYPERGROUPS, MANY-VALUED IMPLICATIONS, KRASNER (M, N)-HYPERRINGS, HYPERRINGS, PRIME, HYPERMODULES, SUBMODULES, SUBGROUP
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.