On (∈, ∈ ∨q
k
)-fuzzy ideals of ordered semigroups |
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| Authors: | Jian Tang Xiang-Yun Xie |
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| Institution: | 1128. School of Mathematics and Computational Science, Fuyang Normal College, Fuyang, Anhui, 236037, P.R.China
2128. School of Mathematics and Computational Science, Wuyi University, Jiangmen, Guangdong, 529020, P.R.China
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| 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. |
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