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On Fuzzy Bipolar Soft Ordered Semigroups

Author(s)
Aziz-Ul-Hakim Departmenof Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan.
Hidayatullah Khan Departmenof Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan.
Imtiaz Ahmad Departmenof Mathematics, University of Malakand, Chakdara Dir(L), KPK, Pakistan.
Asghar Khan Department of Mathematics, Abdul Wali Khan University Mardan, KPK, Pakistan
Abstract
In this paper, the concept of fuzzy bipolar soft set initiated by Naz and Shabir [22] is modified and strengthened. Consequently, the basic operations on fuzzy bipolar soft sets are redefined and their algebraic properties are studied. The notion of fuzzy bipolar soft ordered semigroup is defined and, furthermore, the concepts of fuzzy bipolar soft left (resp., right, two-sided) ideals over ordered semigroups are introduced and characterized.
Publication Details
Page(s) 261-293
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 53, Issue: 4, Year: 2021

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Keywords
Ordered semigroup, fuzzy bipolar soft set, fuzzy bipolar soft ordered semigroup
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