Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals

Jian Tang, Xiangyun Xie and Yanfeng Luo

Journal of Applied Mathematics, 2014, vol. 2014, 1-14

Abstract:

The concept of non- -quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non- -quasi-coincidence of a fuzzy point with a fuzzy set. By using this new concept, we introduce the notion of interval valued -fuzzy quasi-ideals of ordered semigroups and study their related properties. In addition, we also introduce the concepts of prime and completely semiprime interval valued -fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued -fuzzy quasi-ideals. Furthermore, some new characterizations of regular and intra-regular ordered semigroups by the properties of interval valued -fuzzy quasi-ideals are given.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:867459

DOI: 10.1155/2014/867459

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