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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 32-753
Full Name: Asghar Khan
Position: Assistant Professor
Age: ON
Sex: Male
Address: Department of Mathematics, COMSATS Institute of IT, Abbottabad
Country: PAKISTAN
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E-mail address: azhar4set@yahoo.com
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Title of the Paper: Intuitionistic fuzzy bi-ideals of ordered semigroups endowed with interval-valued membership functions
Authors as they appear in the Paper: Asghar Khan, Young Bae Jun, S. Muhammad and Syeed Zaheer Abbas
Email addresses of all the authors: azhar4set@yahoo.com,akmath2005@yahoo.com,asghar@ciit.net.pk
Number of paper pages: 16
Abstract: In this paper, the interval-valued intuitionistic fuzzification of the notion of a bi-ideal in ordered semigroups is considered. Using a collection of bi-ideals with additional conditions, an interval-valued intuitionistic fuzzy bi-ideal is constructed. Natural equivalence relations on the set of all interval-valued intuitionistic fuzzy bi-ideals of an ordered semigroup are investigated. In terms of interval-valued intuitionistic fuzzy subset, conditions for an ordered semigroup to be left (right) regular, completely regular and regular ordered semigroups are provided. Characterizations of interval-valued intuitionistic fuzzy bi-ideals in ordered semigroups are given.
Keywords: Ordered semigroup, regular ordered semigroup, completely regular ordered semigroup, bi-ideals, interval-valued intuitionistic fuzzy subsets; interval-valued intuitionistic fuzzy bi-ideals.
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How Did you learn about congress: Muhammad Nafis, COMSATS Institute of Information Technology, Abbottabad, Pakistan
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