Intuitionistic fuzzy sets in gamma-semigroups

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Uckun M., ÖZTÜRK M. A., Jun Y. B.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.44, sa.2, ss.359-367, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.4134/bkms.2007.44.2.359
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.359-367
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The notion of a fuzzy set in a set was introduced by L. A. Zadeh [10], and since then this concept has been applied to various algebraic structures. K. T. Atanassov [1] defined the notion of an intuitionistic fuzzy set, as a concept more general than a fuzzy set (see also [2]). Using fuzzy ideals, N. Kuroki [5] discussed characterizations of semigroups (see also [6]). K. H. Kim and Y. B. Jun [3] considered the intuitionistic fuzzification of the notion of several ideals in a semigroup, and investigated some properties of such ideals (see also [4]). M. K. Sen and N. K. Saha [9] defined the concept of a Gamma-semigroup, and established a relation between regular Gamma-semigroup and Gamma-group (see also [7], (8]). In this paper, we introduce the notion of an intuitionistic fuzzy Gamma-ideal of a Gamma-semigroup, and we investigate some properties connected with intuitionistic fuzzy Gamma-ideals in a Gamma-semigroup.