On Fundamental Theorems of Fuzzy Isomorphism of Fuzzy Subrings over a Certain Algebraic Product

A Altassan, MH Mateen, D Pamucar - Symmetry, 2021 - mdpi.com
In this study, we define the concept of an ω-fuzzy set ω-fuzzy subring and show that the
intersection of two ω-fuzzy subrings is also an ω-fuzzy subring of a given ring. Moreover, we …

[PDF][PDF] On Pythagorean fuzzy ideals of a classical ring

A Razaq, G Alhamzi - AIMS Math, 2023 - aimspress.com
The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set and is an effective
approach of handling uncertain situations. Ring theory is a prominent branch of abstract …

A certain structure of bipolar fuzzy subrings

H Alolaiyan, MH Mateen, D Pamucar, MK Mahmmod… - Symmetry, 2021 - mdpi.com
The role of symmetry in ring theory is universally recognized. The most directly definable
universal relation in a symmetric set theory is isomorphism. This article develops a certain …

Homomorphism and isomorphism theorems on fuzzy lattices

SG Korma, RK Parimi, DC Kifetew - Research in Mathematics, 2023 - Taylor & Francis
The idea of homomorphism in various algebraic and fuzzy algebraic structures has been
researched by many scholars. In this study, we consider a Fuzzy Lattice and propose a new …

Characterizations of Γ rings in terms of rough fuzzy ideals

D Pushpanathan, E Devarasan - Symmetry, 2022 - mdpi.com
Fuzzy sets are a major simplification and wing of classical sets. The extended concept of set
theory is rough set (RS) theory. It is a formalistic theory based upon a foundational study of …

On fundamental algebraic characterizations of complex intuitionistic Q-fuzzy subfield

A Khamis - AIMS Mathematics, 2023 - aimspress.com
The main objective of this study is to propose a new notion of a complex intuitionistic $ Q $-
fuzzy subfield of a field $ F $ that is developed from the concept of a complex fuzzy subfield …

Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

X Yang, X Zhou - Mathematics, 2024 - mdpi.com
Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the
intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy …

[PDF][PDF] On Fundamental Theorems of Fuzzy Isomorphism of Fuzzy Subrings over a Certain Algebraic Product. Symmetry 2021, 13, 998

A Altassan, M Mateen, D Pamucar - 2021 - academia.edu
In this study, we define the concept of an L-fuzzy set L-fuzzy subring and show that the
intersection of two L-fuzzy subrings is also an L-fuzzy subring of a given ring. Moreover, we …

A study on some relations on multi-fuzzy (left-right) ideals of rings

KW Saleem, SAA Abu-harbid… - Journal of Pure & Applied …, 2021 - sebhau.edu.ly
Abstract multi fuzzy set theory is an extension of fuzzy set theory, which deals with the multi
dimensional fuzziness. In this paper, we introduce the concepts of multi-fuzzy rings, multi …