Hesitant Fuzzy Structures on Sheffer Stroke BCK-Algebras

被引：0

作者：

Oner, Tahsin ^{[1
]}

Katican, Tugce ^{[2
]}

Saeid, Arsham Borumand ^{[3
]}

机构：

[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Izmir, Turkey

[2] Izmir Univ Econ, Fac Arts & Sci, Dept Math, Izmir, Turkey

[3] Shadid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

来源：

NEW MATHEMATICS AND NATURAL COMPUTATION | 2023年 / 19卷 / 03期

关键词：

Sheffer stroke; BCK-algebra; (hesitant fuzzy) subalgebra; ((hesitant fuzzy) maximal) ideal; SET;

D O I：

10.1142/S1793005723500369

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：793 / 804

页数：12

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