Product of interval-valued fuzzy graphs and degree

Hossein Rashmanlou, Madhumangal Pal, Rajab Ali Borzooei, F. Mofidnakhaei, Biswajit Sarkar

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they have many applications in networks. In this paper, at first we define three new operations on interval-valued fuzzy graphs namely strong product, tensor product and lexicographic product. Likewise, we study about the degree of a vertex in interval-valued fuzzy graphs which are obtained from two given interval-valued fuzzy graphs using the operations Cartesian product, composition, tensor and strong product of two interval-valued fuzzy graphs. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large interval-valued fuzzy graph as a combination of small, interval-valued fuzzy graphs and to derive its properties from those of the smaller ones.

Original languageEnglish
Pages (from-to)6443-6451
Number of pages9
JournalJournal of Intelligent and Fuzzy Systems
Volume35
Issue number6
DOIs
Publication statusPublished - 2018

Bibliographical note

Funding Information:
This work was supported by the research fund of Hanyang University (HY-2018-F), (Project Number 201800000001370).

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Engineering(all)
  • Artificial Intelligence

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