Iranian Journal of Fuzzy Systems
Volume 16, Issue 2, 2019, Pages 31-43

Incidence cuts and connectivity in fuzzy incidence graphs (Article)

Mathew S.* , Mordeson J.N. , Yang H.L.
  • a Department of Mathematics, National Institute of Technology Calicut, Calicut, Kerala 673601, India
  • b Department of Mathewmatics, Creighton University, Nebraska, 68178, United States
  • c College of Mathematics and Information Science, Shaanxi Normal University, Xian, 710062, China

Abstract

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs, node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with fuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidence is used to model flows in human trafficking networks. © 2019, University of Sistan and Baluchestan. All rights reserved.

Author Keywords

Incidence cut Cutpair Fuzzy incidence graph Complete fuzzy incidence Human trafficking

Index Keywords

[No Keywords available]
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85066265022&doi=10.22111%2fIJFS.2019.4540&partnerID=40&md5=9ed9b853df1433687c3c8609ac1f4e23
DOI: 10.22111/IJFS.2019.4540
ISSN: 17350654
Original Language: English