Intuitionistic fuzzy competition graphs

Intuitionistic fuzzy competition graph as a generalization of competition graph is introduced. In this paper, two generalizations of intuitionistic fuzzy competition graphs as intuitionistic fuzzy k -competition graphs and p -competition intuitionistic fuzzy graphs are introduced. Also, intuitionist...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 52; no. 1-2; pp. 37 - 57
Main Authors Sahoo, Sankar, Pal, Madhumangal
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2016
Springer Nature B.V
Subjects
Applied mathematics
Competition
Computation
Computational Mathematics and Numerical Analysis
Ecosystems
Food chains
Fuzzy
Fuzzy logic
Fuzzy sets
Graph theory
Graphs
Mathematical analysis
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Neighborhoods
Studies
Theory of Computation
Intuitionistic fuzzy
05C72
Intuitionistic fuzzy graphs
Competition graphs
Steps intuitionistic fuzzy competition graphs
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Summary:Intuitionistic fuzzy competition graph as a generalization of competition graph is introduced. In this paper, two generalizations of intuitionistic fuzzy competition graphs as intuitionistic fuzzy k -competition graphs and p -competition intuitionistic fuzzy graphs are introduced. Also, intuitionistic fuzzy neighbourhood graphs, m -steps intuitionistic fuzzy competition graphs are defined and investigated many interesting results. A very appropriate application of intuitionistic fuzzy graph in ecosystem is discussed to highlight the importance and use of intuitionistic fuzzy graph in real life.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-015-0928-0