• 제목/요약/키워드: interval-valued fuzzy quasi-ideal

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Interval-valued Fuzzy Quasi-ideals in a Semigroups

  • Kim, Sang-Mok;Hur, Kul;Cheong, Min-Seok;Chae, Gab-Byung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권3호
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    • pp.215-225
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    • 2012
  • We initiate the study of interval-valued fuzzy quasi-ideal of a semigroup. In Section 2, we list some basic definitions in the later sections. In Section 3, we investigate interval-valued fuzzy subsemigroups and in Section 4, we define interval-valued fuzzy quasi-ideals and establish some of their basic properties. In Section 5, we obtain characterizations of regular and intraregular semigroups using the machinery developed in the preceding sections.

INTERVAL VALUED (α, β)-INTUITIONISTIC FUZZY BI-IDEALS OF SEMIGROUPS

  • ABDULLAH, SALEEM;ASLAM, MUHAMMAD;HUSSAIN, SHAH
    • Journal of applied mathematics & informatics
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    • 제34권1_2호
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    • pp.115-143
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    • 2016
  • The concept of quasi-coincidence of interval valued intuitionistic fuzzy point with an interval valued intuitionistic fuzzy set is considered. By using this idea, the notion of interval valued (α, β)-intuitionistic fuzzy bi-ideals, (1,2)ideals in a semigroup introduced and consequently, a generalization of interval valued intuitionistic fuzzy bi-ideals and intuitionistic fuzzy bi-ideals is defined. In this paper, we study the related properties of the interval valued (α, β)-intuitionistic fuzzy bi-ideals, (1,2) ideals and in particular, an interval valued (Є, Є ∨q)-fuzzy bi-ideals and (1,2) ideals in semigroups will be investigated.