Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras

Tahsin Oner, Tugce Katican () and Arsham Borumand Saeid ()
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Tahsin Oner: Department of Mathematics, Faculty of Science, Ege University, 35100 Ä°zmir, Turkey
Tugce Katican: Department of Mathematics, Faculty of Arts and Sciences, Izmir University of Economics Ä°zmir, Turkey
Arsham Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shadid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 03, 793-804

Abstract: The main objective of the study is to introduce a hesitant fuzzy structures on Sheffer stroke BCK-algebras related to their subsets (subalgebras as possible as). Then it is proved that every hesitant fuzzy ideal of a Sheffer stroke BCK-algebra related to the subset is the hesitant fuzzy subalgebra. By defining a hesitant fuzzy maximal ideal in this algebra, relationships between aforementioned structures, subalgebras and ideals on Sheffer stroke BCK-algebras are shown in detail. Finally, it is illustrated that a subset of a Sheffer stroke BCK-algebra defined by a certain element and a hesitant fuzzy (maximal) ideal on the algebra is a (maximal) ideal but the inverse is usually not true.

Keywords: Sheffer stroke; BCK-algebra; (hesitant fuzzy) subalgebra; ((hesitant fuzzy) maximal) ideal (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500369

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