Certain Structure of Lagrange’s Theorem with the Application of Interval-Valued Intuitionistic Fuzzy Subgroups | Zendy

Doha A. Kattan | Zendy; M.R. Amin | Zendy; Abdul Bariq | Zendy

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Certain Structure of Lagrange’s Theorem with the Application of Interval-Valued Intuitionistic Fuzzy Subgroups

Author(s) -

Doha A. Kattan,

M.R. Amin,

Abdul Bariq

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/3580711

Subject(s) - mathematics , coset , interval (graph theory) , order (exchange) , algebra over a field , discrete mathematics , fuzzy set , algebraic structure , group (periodic table) , algebraic number , fuzzy logic , pure mathematics , combinatorics , computer science , artificial intelligence , mathematical analysis , chemistry , organic chemistry , finance , economics

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.

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