Certain Structure of Lagrange's Theorem with the Application of Interval-Valued Intuitionistic Fuzzy Subgroups. (24th February 2022)

• Record Type: Journal Article
• Authors: Kattan, Doha A.; Amin, Maria; Bariq, Abdul
• Other Names: Al-Olayan Hanan A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-02-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3580711
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper presents the concept of an interval-valued intuitionistic fuzzy subgroup defined on interval-valued intuitionistic fuzzy sets. We study some of the fundamental algebraic properties of interval-valued intuitionistic fuzzy cosets and interval-valued intuitionistic fuzzy normal subgroup of a given group. This idea is used to describe the interval-valued intuitionistic fuzzy order and index of interval-valued intuitionistic fuzzy subgroup. We have created numerous algebraic properties of interval-valued intuitionistic fuzzy order of an element. We also prove the interval-valued intuitionistic fuzzification of Lagrange's theorem.