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On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra

dc.contributor.authorDerseh, Beza Lamesgin
dc.contributor.authorAlaba, Berhanu Assaye
dc.contributor.authorWondifraw, Yohannes Gedamu
dc.date.accessioned2023-06-07T09:21:14Z
dc.date.available2023-06-07T09:21:14Z
dc.date.issued2023-04-21
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/47235
dc.description.abstractIn this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.en
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesBulletin of the Section of Logic;1en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectPMS-algebraen
dc.subjectintuitionistic fuzzy PMS-subalgebraen
dc.subjecthomomorphismen
dc.subjectcartesian product and strongest intuitionistic fuzzy relationen
dc.titleOn Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebraen
dc.typeOther
dc.page.number19-38
dc.contributor.authorAffiliationDerseh, Beza Lamesgin - Bahir Dar University, College of Science, Department of Mathematics Bahir Dar, Ethiopiaen
dc.contributor.authorAffiliationAlaba, Berhanu Assaye - Bahir Dar University, College of Science, Department of Mathematics, Bahir Dar, Ethiopiaen
dc.contributor.authorAffiliationWondifraw, Yohannes Gedamu - Bahir Dar University, College of Science, Department of Mathematics, Bahir Dar, Ethiopiaen
dc.identifier.eissn2449-836X
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dc.contributor.authorEmailDerseh, Beza Lamesgin - dbezalem@gmail.com
dc.contributor.authorEmailAlaba, Berhanu Assaye - birhanu.assaye290113@gmail.com
dc.contributor.authorEmailWondifraw, Yohannes Gedamu - yohannesg27@gmail.com
dc.identifier.doi10.18778/0138-0680.2023.08
dc.relation.volume52


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