Results 11 to 20 of about 1,915 (238)

An algebraic analysis on exploring q-Rung orthopair multi-fuzzy sets [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
The q-Rung Orthopair Fuzzy set (qROF-set) environment is a contemporary tool for handling uncertainty and vagueness in decision-making scenarios. In this paper, we delve into the algebraic examination of q-rung orthopair Multi-Fuzzy Sets (MFSs) and ...
Mahalakshmi Pethaperumal   +3 more
doaj   +1 more source

On Fundamental Algebraic Characterizations of μ-Fuzzy Normal Subgroups

open access: yesJournal of Function Spaces, 2022
In this article, we present the study of μ-fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ-fuzzy normal subgroup and investigate many vital algebraic characteristics of ...
Ibtisam Masmali   +4 more
doaj   +1 more source

‎Fuzzy Subgroups and Digraphs Induced by Fuzzy Subgroups [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
Given a fuzzy subgroup $\mu$ of a group $G$‎, ‎$x\rhd_uy$ if and only if $\mu(xy) < \mu(yx)$ defines a directed relation with an associated digraph $(G‎, ‎\rhd_u)$‎.
Paul J. Allen   +2 more
doaj   +1 more source

ON THE NUMBER OF FUZZY SUBGROUPS AND FUZZY NORMAL SUBGROUPS OF S2, S3 AND A4

open access: yesSouth East Asian J. of Mathematics and Mathematical Sciences, 2023
Counting fuzzy subgroups of a finite group is a fundamental problem of fuzzy group theory. Many researchers have made significant contributions to the rapid growth of this topic in recent years. The number of fuzzy subgroups of any group is infinite without the aid of equivalence relation.
Kumar, Dhiraj, Singh, Manoranjan Kumar
openaire   +1 more source

Algebraic Characteristics of Anti-Intuitionistic Fuzzy Subgroups Over a Certain Averaging Operator

open access: yesIEEE Access, 2020
In this paper, we propose the concept of ρ anti-intuitionistic fuzzy sets, ρ anti - intuitionistic fuzzy subgroups and prove some of their algebraic properties.
Dilshad Alghazzawi   +4 more
doaj   +1 more source

On the Algebraic Characteristics of Fuzzy Sub e-Groups

open access: yesJournal of Function Spaces, 2021
Fuzzy set is a modern tool for depicting uncertainty. This paper introduces the concept of fuzzy sub e-group as an extension of fuzzy subgroup. The concepts of identity and inverse are generalized in fuzzy sub e-groups.
Supriya Bhunia   +4 more
doaj   +1 more source

On q-Rung Orthopair Fuzzy Subgroups

open access: yesJournal of Function Spaces, 2022
The q-rung orthopair fuzzy environment is an innovative tool to handle uncertain situations in various decision-making problems. In this work, we characterize the idea of a q-rung orthopair fuzzy subgroup and examine various algebraic attributes of this ...
Asima Razzaque, Abdul Razaq
doaj   +1 more source

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

open access: yesJournal of Function Spaces, 2022
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 ...
Doha A. Kattan, Maria Amin, Abdul Bariq
doaj   +1 more source

A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups

open access: yesEntropy, 2021
A complex fuzzy set is a vigorous framework to characterize novel machine learning algorithms. This set is more suitable and flexible compared to fuzzy sets, intuitionistic fuzzy sets, and bipolar fuzzy sets.
Hanan Alolaiyan   +4 more
doaj   +1 more source

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