Results 1 to 10 of about 3,587 (294)

Application of t-intuitionistic fuzzy subgroup to Sylow theory [PDF]

open access: yesHeliyon, 2023
In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine the t-intuitionistic fuzzy conjugacy classes of a t-intuitionistic fuzzy subgroup. We propose the idea of a t-intuitionistic fuzzy p− subgroup and prove the t-
Laila Latif, Umer Shuaib
doaj   +4 more sources

Nilpotent Fuzzy Subgroups [PDF]

open access: yesMathematics, 2018
In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
doaj   +5 more sources

On algebraic aspects of η-fuzzy subgroups [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup
Muhammad Asghar, Khushdil Ahmad
doaj   +3 more sources

‎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   +2 more sources

Aggregation of fuzzy subgroups [PDF]

open access: yesFuzzy Sets and Systems, 2021
Given an aggregation function, and two fuzzy subgroups of a group, this study investigates whether the aggregation of them is also a fuzzy subgroup. It is proven that if the cardinal of the group is a prime power, then it is always a fuzzy subgroup. For a general group, it is proven that the existence of a binary relation between the fuzzy subgroups ...
Carlos Bejines   +2 more
openaire   +6 more sources

On anti-fuzzy subgroup [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
In this paper, efforts have been taken to generalise the notion of anti-fuzzy subgroup. Proposed definition was supported by graphical comparison with our previous result and suitably constructed examples.
Gayen Sudipta   +3 more
doaj   +1 more source

A new approach to fuzzy group theory using (𝛼, 𝛽) -Pythagorean fuzzy sets [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2021
A Pythagorean fuzzy set (PFS) is a very efficient and powerful tool for handling uncertainty and vagueness. In this paper, we present the notion of (𝛼, 𝛽) -Pythagorean fuzzy set (PFS) as a generalisation of Pythagorean fuzzy set (PFS). We propose a new
Supriya Bhunia, Ganesh Ghorai
doaj   +1 more source

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

Anti-Homomorphism in Q-Fuzzy Subgroups and Normal Subgroups

open access: yesRatio Mathematica, 2023
Many researchers have explored the fuzzy set extensively. We propose the notion of anti-homomorphism in Q is fuzzy subgroups and normal subgroups. It is establish some findings in this study article and build the theory of anti-homomorphism in Q-fuzzy ...
R Jahir Hussain, S Palaniyandi
doaj   +1 more source

On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U6n

open access: yesFuzzy Information and Engineering, 2022
In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups [Formula: see text]. In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of [Formula: see text], which has a ...
L. Kamali Ardekani, B. Davvaz
doaj   +1 more source

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