勾股定理
数学
毕达哥拉斯三重
陪衬
模糊逻辑
域代数上的
群(周期表)
同构(结晶学)
模糊集
离散数学
组合数学
纯数学
计算机科学
人工智能
几何学
化学
晶体结构
有机化学
结晶学
作者
Abdul Razaq,Ghaliah Alhamzi,Asima Razzaque,Harish Garg
出处
期刊:Symmetry
[Multidisciplinary Digital Publishing Institute]
日期:2022-10-07
卷期号:14 (10): 2084-2084
被引量:2
摘要
The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This study deals with Pythagorean fuzzy group theory. In this article, we characterize the notion of a Pythagorean fuzzy subgroup and examine various algebraic properties of this concept. An extensive study on Pythagorean fuzzy cosets of a Pythagorean fuzzy subgroup, Pythagorean fuzzy normal subgroups of a group and Pythagorean fuzzy normal subgroup of a Pythagorean fuzzy subgroup is performed. We define the notions of Pythagorean fuzzy homomorphism and isomorphism and generalize the notion of factor group of a classical group W relative to its normal subgroup S by defining a PFSG of WS. At the end, the Pythagorean fuzzy version of fundamental theorems of isomorphisms is proved.
科研通智能强力驱动
Strongly Powered by AbleSci AI