Multipolar Fuzzy Hyperideals in Ordered Semihypergroups

Osman Kazancı, Sarka Hoskova-Mayerova () and Bijan Davvaz
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Osman Kazancı: Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey
Sarka Hoskova-Mayerova: Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
Bijan Davvaz: Department of Mathematical Sciences, Yazd University, Yazd 89136, Iran

Mathematics, 2022, vol. 10, issue 19, 1-11

Abstract: An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute, and multi-index data. The multi-polar fuzzy sets was created as a useful mechanism to portray uncertainty in multiattribute decision making. In this article, we consider the theoretical applications of multi-polar fuzzy sets. We present the notion of multi-polar fuzzy sets in ordered semihypergroups and define multi-polar fuzzy hyperideals (bi-hyperideals, quasi hyperideals) in an ordered semihypergroup. Relations between multi-polar fuzzy hyperideals, multi-polar fuzzy bi-hyperideals and multi-polar fuzzy quasi hyperideals are discussed.

Keywords: m-polar fuzzy set; m-polar fuzzy hyperideal; m-polar fuzzy bi-hyperideal; m-polar fuzzy quasi-hyperideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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