Characterizing semi-groups through the properties of their fuzzy \(m\)-bi-ideals

Volume 23, Issue 3, pp 170--180 http://dx.doi.org/10.22436/jmcs.023.03.01

Publication Date: November 01, 2020 Submission Date: August 26, 2020 Revision Date: September 08, 2020 Accteptance Date: September 24, 2020

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Authors

Mohammad Munir - Department of Mathematics, Government Postgraduate College, Abbottabad, Pakistan. Nasreen Kausar - Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan. Salahuddin - Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia. Anum Shafiq - School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China. Mustafa Habib - Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.

Abstract

In this article, we present the idea of the fuzzy \(m\)-bi-ideals in semi-groups and describe their basic algebraic properties. We also develop the forms of the fuzzy \(m\)-bi-ideals generated by an element, a subset, and a sub-semi-group of the semi-group. Important characterizations of semi-groups and their different types like \(m\)-regular semi-groups and \(m\)-intraregular semi-groups have been given through demonstrating examples and using properties of fuzzy \(m\)-bi-ideals in semi-groups.

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Keywords

• Bipotency
• Fuzzy \(m\)-points
• \(m\)-regular semi-groups
• \(m\)-intraregular semi-groups

MSC

•  20M17
•  22A15

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