Article

ordered semigroups characterized by their intuitionistic fuzzy bi-ideals

Abstract

fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. the purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. to provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships of left(resp. right andcompletely regular) ordered semigroups in terms intuitionistic fuzzybi-ideals.

Similar items

  • Characterizations of Ordered Semigroups by (∈,∈ ∨q)-Fuzzy Ideals

    Scholarly record2012Jian Tang

    Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨q)-fuzzy ideals, (∈,∈ ∨q)-fuzzy bi-ideals and (∈,∈ ∨q)-fuzzy generalized bi-ideals of an ordered semigroup S, and investigate their related properties. Furthermore, we also define the upper and

  • Characterizations of regular ordered semigroups by generalized fuzzy ideals

    Scholarly record2014Journal of Intelligent and Fuzzy SystemsJian Tang, Xiang-Yun Xie

    Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨qk)-fuzzy ideals, (∈,∈ ∨qk)-fuzzy bi-ideals and (∈,∈ ∨qk)-fuzzy generalized bi-ideals of an ordered semigroup S by the ordered fuzzy points of S, and investigate their related properties. Furthe

  • Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals

    Article2010Iranian Journal of Fuzzy SystemsAsghar Khan, Young Bae Jun, Muhammad Shabir

    Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharac

  • Generalized Intuitionistic Fuzzy Ideals of Ordered Semigroups

    Scholarly record2010Yunqiang Yin, D. Xu

    The notion of intuitionistic fuzzy ideals with thresholds of an ordered semigroup is considered and some of its properties are given. An embedding theorem of the set of all intuitionistic fuzzy ideals with thresholds is presented and the homomorphic images and inverse images of i

  • Atanassov’s Intuitionistic Fuzzy Ideals of Γ-Semigroups

    Scholarly record2011Sujit Kumar Sardar, Samit Kumar Majumder, Manasi Mandal, S. K. Sardar

    Department of Mathematics, Jadavpur University Kolkata-700032, India manasi−ju@yahoo.in Abstract The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. In this paper we apply this concept of Atanassov to ideals, prime id

  • Intuitionistic Fuzzy Ideal Extensions of {\Gamma}-Semigroups

    Scholarly record2010Nayyar Mehmood, Imran Haider Qureshi

    In this paper the concept of the extensions of intuitionistic fuzzy ideals in a semigroup has been extended to a Γ-Semigroups. Among other results characterization of prime ideals in a Γ-Semigroups in terms of intuitionistic fuzzy ideal extension has been obtained.