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

Author

Listed:
  • Jian Tang

    (Fuyang Normal College)

  • Xiang-Yun Xie

    (Wuyi University)

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.

Suggested Citation

  • Jian Tang & Xiang-Yun Xie, 2013. "On (∈, ∈ ∨q k )-fuzzy ideals of ordered semigroups," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 57-67, March.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0128-2
    DOI: 10.1007/s12543-013-0128-2
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