$\alpha$-Q-fuzzy Subgroups
Muwafaq Salih, Delbrin Ahmed

TL;DR
This paper introduces and explores properties of $eta$-Q-fuzzy subsets and subgroups, analyzing their behavior under group anti-homomorphisms, contributing to fuzzy subgroup theory.
Contribution
It defines $eta$-Q-fuzzy subgroups and studies their properties and effects under group anti-homomorphisms, advancing fuzzy subgroup theory.
Findings
Properties of $eta$-Q-fuzzy subgroups are established.
Effects on images and inverse-images under anti-homomorphisms are analyzed.
Theoretical foundations for $eta$-Q-fuzzy structures are developed.
Abstract
In this paper, the notations of -Q-fuzzy subset and -Q-fuzzy subgroup are introduced, and necessary properties related to these two concepts are proven. In the past part in this work, the effect of the -Q-fuzzy subgroup on the image and inverse-image under group anti-homomorphism are studied.
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Taxonomy
TopicsFuzzy and Soft Set Theory
