Fundamental theorems of group isomorphism under the framework of complex intuitionistic fuzzy set

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564367" target="_blank" >RIV/60162694:G43__/26:00564367 - isvavai.cz</a>

Result on the web

<a href="http://www.aimspress.com/article/doi/10.3934/math.2025088" target="_blank" >http://www.aimspress.com/article/doi/10.3934/math.2025088</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/math.2025088" target="_blank" >10.3934/math.2025088</a>

Result language

angličtina

Original language name

Fundamental theorems of group isomorphism under the framework of complex intuitionistic fuzzy set

Original language description

Algebraic homomorphisms are essential mathematical structures that sustain operations across algebraic systems such as groups, rings, and fields. These mappings not only preserve the validity of algebraic operations but also make it easier to investigate structural similarities and equivalences across distinct algebraic entities. In this article, we establish the group isomorphism under the complex intuitionistic fuzzy set, an extended form of the complex fuzzy set that adds the complex degree of non-membership functions, which plays a significant role in the decision-making process. The complex algebraic structure provides effective tools for understanding complex phenomena. We discuss the more intricate features of homomorphism and isomorphism in the framework of a complex intuitionistic fuzzy set. In addition, we introduce the complex intuitionistic fuzzy normal subgroups. We establish the relationship between two complex intuitionistic fuzzy subgroups and analyze of complex intuitionistic fuzzy isomorphisms among these subgroups, proving the important theorems. Furthermore, we establish examples to explore the concept of complex intuitionistic fuzzy subgroups.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

AIMS Mathematics

ISSN

—

e-ISSN

2473-6988

Volume of the periodical

10

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

21

Pages from-to

1900-1920

UT code for WoS article

001454886400002

EID of the result in the Scopus database

2-s2.0-85219036960