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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 12, Pages 67–81 (Mi ivm7162)
This article is cited in 3 papers

Intuitionistic fuzzy quasi-ideals in ordered semigroups

A. Khana, M. Shabirb, Y. B. Junc

a Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
b Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
c Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju, Korea

Abstract: In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals. We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals. We study the decomposition of left and right simple ordered semigroups with the help of intuitionistic fuzzy quasi-ideals.

Keywords: subsemigroups, quasi(bi)-ideals, left (right) regular, left (right) simple ordered semigroups, completely regular ordered semigroups, intuitionistic fuzzy sets, intuitionistic fuzzy subsemigroups, intuitionistic fuzzy quasi(bi)-ideals of ordered semigroups.

UDC: 512.533

Received: 28.03.2009
Revised: 12.10.2009


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:12, 59–71

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