Results 11 to 20 of about 22,079 (282)

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   +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

A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory

open access: yesIEEE Access, 2020
In this paper, we initiate the novel concept of complex intuitionistic fuzzy subgroups and prove that every complex intuitionistic fuzzy subgroup generates two intuitionistic fuzzy subgroups. We extend this ideology to define the concept of level subsets
Muhammad Gulzar   +3 more
doaj   +3 more sources

HESITANT FUZZY SUBGROUPS

open access: yesJournal of New Theory, 2016
Hesitant fuzzy subgroup defined on a group G generalizes the idea of fuzzy subgroups. It mainly focuses on the multiplicity of values encountered when dealing with hesitant fuzzy sets.
Deepak Divakaran, Sunil Jacob John
doaj   +2 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   +1 more source

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

Picture Fuzzy Subgroup

open access: yesKragujevac Journal of Mathematics, 2023
Picture fuzzy subgroup of a crisp group is established here and some properties connected to it are investigated. Also, normalized restricted picture fuzzy set, conjugate picture fuzzy subgroup, picture fuzzy coset, picture fuzzy normal subgroup and the order of picture fuzzy subgroup are defined.
Dogra, Shovan, Pal, Madhumangal
openaire   +2 more sources

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