Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point

Hidayat Ullah Khan (), Asghar Khan, Faiz Muhammad Khan () and Yongjin Li
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Hidayat Ullah Khan: Department of Mathematics, University of Malakand, Khyber Pukhtoonkhwa, Chakdara, Pakistan
Asghar Khan: Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pukhtoonkhwa, Mardan, Pakistan,
Faiz Muhammad Khan: Department of Mathematics and Statistics, University of Swat, Khyber Pukhtoonkhwa, Swat, Pakistan
Yongjin Li: Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P. R. China

Matrix Science Mathematic (MSMK), 2017, vol. 1, issue 1, 9-15

Abstract: Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup. The concept of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized bi-ideal is introduced and several related properties are investigated. We show that in regular and left weakly regular ordered semigroups the concepts of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized biideal and (∈, ∈ ∨qk)-intuitionistic fuzzy bi-ideal coincide.

Keywords: Intuitionistic fuzzy bi-ideal fuzzy generalized bi-ideals, regular ordered semigroups; left weakly regular ordered semigroups.2000 Mathematics Subject Classification: 06F05, 20M12, 08A72. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:1:y:2017:i:1:p:9-15

DOI: 10.26480/msmk.01.2017.09.15

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