Intuitionistic fuzzy quasi-ideals of ordered semigroups |
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| Authors: | Asghar Khan Muhammad Shabir Young Bae Jun |
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| Institution: | 1.COMSATS Institute of Information Technology,Abbottabad,Pakistan;2.Department of Mathematics,Quaid-i-Azam University,Islamabad,Pakistan;3.Gyeongsang National University,Chinju,Korea |
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| 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 using intuitionistic fuzzy quasi-ideals. |
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