On (∈, ∈ ∨q k )-fuzzy ideals of ordered semigroups

Jian Tang () and Xiang-Yun Xie
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Jian Tang: Fuyang Normal College
Xiang-Yun Xie: Wuyi University

Fuzzy Information and Engineering, 2013, vol. 5, issue 1, 57-67

Abstract: Abstract In this paper, the concept of (∈, ∈ ∨q k )-fuzzy ideals of an ordered semigroup S is introduced by the ordered fuzzy points of S, and related properties are investigated. Furthermore, we introduce the concept of prime (∈, ∈ q k )-fuzzy ideals of ordered semigroups, and give some characterizations of them. As an application results of this paper, the corresponding results in ordinary semigroups can be also obtained by moderate modification.

Keywords: Ordered semigroup; Strongly convex fuzzy subset; (∈; ∈ q k )-fuzzy ideal; Prime (∈; ∈ q k )-fuzzy ideal (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0128-2

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