Open Access
Translator Disclaimer
2014 Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals
Jian Tang, Xiangyun Xie, Yanfeng Luo
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/867459

Abstract

The concept of non-k-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-k-quasi-coincidence of a fuzzy point with a fuzzy set. By using this new concept, we introduce the notion of interval valued (¯,¯qk~¯)-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 (¯,¯qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued (¯,¯qk~¯)-fuzzy quasi-ideals. Furthermore, some new characterizations of regular and intra-regular ordered semigroups by the properties of interval valued (¯,¯qk~¯)-fuzzy quasi-ideals are given.

Citation

Download Citation

Jian Tang. Xiangyun Xie. Yanfeng Luo. "Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals." J. Appl. Math. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/867459

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131939
MathSciNet: MR3216138
Digital Object Identifier: 10.1155/2014/867459

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.2014 • 2014
Back to Top