Novel Concepts in Rough Cayley Fuzzy Graphs with Applications

Author:

Rao Yongsheng1ORCID,Zhou Qixin1,Akhoundi Maryam2ORCID,Talebi A. A.3,Omidbakhsh Amiri S.3,Muhiuddin G.4ORCID

Affiliation:

1. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

2. Clinical Research Development Unit of Rouhani Hospital, Babol Univetsity of Medical Sciences, Babol, Iran

3. Department of Mathematics, University of Mazandaran, Babolsar, Iran

4. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Abstract

Today, fuzzy graphs (FGs) have a variety of applications in other fields of study, including medicine, engineering, and psychology, and for this reason, many researchers around the world are trying to identify their properties and use them in computer sciences as well as finding the smallest problem in a network. The concept of a Cayley fuzzy graph has become a standard part of the toolkit used to investigate and describe groups. Also, Cayley fuzzy graphs are good models for interconnection networks, and they are useful in semigroup theory for establishing which elements are and R related. The previous definition limitations in the FGs have directed us to offer a new classification in terms of Cayley fuzzy graphs. So, in this paper, two new definitions of Cayley fuzzy graphs (CFGs) and pseudo-Cayley fuzzy graphs (PCFGs) are discussed and their rough approximations are studied. Also, some properties of fuzzy rough sets (FRSs) in CFGs and PCFGs have been investigated. Finally, we presented the determination of the most effective person in the Water and Sewerage Organization and the importance of using refereeing facilities in football matches between club teams, by using CFG in the presented applications.

Funder

National Basic Research Program of China

Publisher

Hindawi Limited

Subject

General Mathematics

Reference23 articles.

1. Fuzzy graphs;A. Rosenfeld,1975

2. Fuzzy sets

3. Cayley Bipolar Fuzzy Graphs

4. Cayley fuzzy graphs;N. M. Namboothiri;Far East Journal of Mathematical Sciences,2013

5. Cayley intutionistic fuzzy graphs;M. Akram;Journal of Appllied Mathematics and Informatics,2014

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3