Fuzzy generator and fuzzy cogenerator-Reference-Cited by-同舟云学术

Fuzzy generator and fuzzy cogenerator

Published:2023-11-03 Issue:3 Volume:27 Page:343-354
ISSN:1327-2314
Container-title:International Journal of Knowledge-based and Intelligent Engineering Systems
language:
Short-container-title:KES

Author:

Rath Abhishek Kumar¹,Ranadive A.S.¹,Pamucar Dragan²³

Affiliation:

1. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, India

2. Department of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia

3. College of Engineering, Yuan Ze University, Taoyuan City, Taiwan

Abstract

In this article, we introduce the fuzzy generator and fuzzy cogenerator and investigate some of their properties. Necessary and sufficient conditions for a fuzzy module to become a fuzzy generator and sufficient conditions for a fuzzy module to become a fuzzy cogenerator have also been established. We also discuss the behavior of fuzzy modules of finitely generated modules. Further, we introduce fuzzy trace and fuzzy reject and establish some specific results. Finally, we define a faithful fuzzy module and weave this notion with the concepts of fuzzy generator and fuzzy cogenerator.

Publisher

IOS Press

Subject

Artificial Intelligence,Control and Systems Engineering,Software

Reference26 articles.

1. On l-fuzzy prime submodules;Acar;Hacettepe Journal of Mathematics and Statistics,2005

2. An approach to multi-attribute decision-making based on intuitionistic fuzzy soft information and aczel-alsina operational laws;Ali;Journal of Decision Analytics and Intelligent Computing,2023

3. Fuzzy direct sum and fuzzy (weakly) prime and primary subhypermodules;Ameri;Journal of Discrete Mathematical Sciences and Cryptography,1998

4. Interval-valued picture fuzzy maclaurin symmetric mean operator with application in multiple attribute decision-making;Ashraf;Reports in Mechanical Engineering,2022

5. Fuzzy sets, fuzzy relations, and fuzzy groups: some interrelations;Bhutani;Information Sciences,1993