A study on generalized fuzzy graphs

Sovan Samanta, Biswajit Sarkar

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A fuzzy graph is a representation tool for many real networks. But, due to some restriction on edges, fuzzy graphs are limited to represent for some networks. In this study, generalized fuzzy graphs and generalized directed fuzzy graphs are discussed to avoid such restrictions. A pipeline network is expressed as a generalized directed fuzzy graph. In the pipeline network, the generalized membership values of edges and vertices are determined by the capacity of the pipelines. Also, fuzzy r-cuts and fuzzy (r 1, r 2,..., r n)-cuts in the generalized fuzzy graphs are defined.

Original languageEnglish
Pages (from-to)3405-3412
Number of pages8
JournalJournal of Intelligent and Fuzzy Systems
Volume35
Issue number3
DOIs
Publication statusPublished - 2018 Jan 1

All Science Journal Classification (ASJC) codes

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

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