Characterizations of regular ordered semigroups by generalized fuzzy ideals

نویسندگان

  • Jian Tang
  • Xiang-Yun Xie
چکیده

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. Furthermore, characterizations of regular ordered semigroups by the properties of (∈,∈ ∨qk)-fuzzy left ideals, (∈,∈ ∨qk)-fuzzy right ideals and (∈,∈ ∨qk)-fuzzy (generalized) bi-ideals are given.

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عنوان ژورنال:
  • Journal of Intelligent and Fuzzy Systems

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2014