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
收藏
页码：793 / 804
页数：12
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