A novel structure of $ q $-rung orthopair fuzzy sets in ring theory-Reference-Cited by-同舟云学术

A novel structure of $ q $-rung orthopair fuzzy sets in ring theory

Published:2023 Issue:4 Volume:8 Page:8365-8385
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alghazzwi Dilshad¹,Ali Arshad²,Almutlg Ahmad³,Abo-Tabl E. A.³⁴,Azzam A. A.⁵⁶

Affiliation:

1. Department of Mathematics College of Science & Arts, King Abdulaziz University, Rabigh, Saudi Arabia

2. Department of Mathematics, National College of Business Adminstration and Economics, Lahore, Pakistan

3. Department of Mathematics, College of Science and Arts, Methnab, Qassim University, Buraidah 51931, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

5. Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

6. Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt

Abstract

<abstract><p>The q-rung orthopair fuzzy atmosphere is an innovative approach for handling unclear circumstances in a range of decision making problems. As compare to intuitionistic fuzzy sets, this one is more appropriate and adaptable because it evaluates the significance of ring theory while retaining the features of q-rung orthopair fuzzy sets. In this study, we characterize $ q $-rung orthopair fuzzy subring as a modification of the pythagorean fuzzy subring. We introduce the novel idea of $ q $-rung orthopair fuzzy subring and investigate the algebraic characteristics for the $ q $-rung orthopair fuzzy subrings. Furthermore, we establish the concept of $ q $-rung orthopair fuzzy quotient ring and $ q $-rung orthopair fuzzy left and right ideals. Also, we describe the $ q $-rung orthopair fuzzy level subring and associate axioms. Finally, we investigate how ring homomorphism influences the q-rung orthopair fuzzy subring and investigate there pre-images homomorphism on $ q $-ROFSR and different aspects of images.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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