Intuitionistic Fuzzy Planar Graphs
TLDR
This paper applies the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dualgraphs, and investigates some of their interesting properties.Abstract:
Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.read more
Citations
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Journal ArticleDOI
Fuzzy Planar Graphs
Sovan Samanta,Madhumangal Pal +1 more
TL;DR: It is shown that an image can be represented by a fuzzy planar graph, and contraction of such animage can be made with the help of a fuzzyPlanar graph.
Journal ArticleDOI
Intuitionistic fuzzy competition graphs
Sankar Sahoo,Madhumangal Pal +1 more
TL;DR: In this paper, two generalizations of intuitionistic fuzzy competition graphs as intuitionism fuzzy k-competition graphs and p-comp competition intuitionistic fuzziness graphs are introduced and also, intuitionists fuzzy neighbourhood graphs, m-steps intuitionistic furry competition graphs are defined and investigated many interesting results.
Journal ArticleDOI
Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies
TL;DR: This work combines two very powerful techniques, namely complex intuitionistic fuzzy sets and graph theory, and introduces the notion of complex intuitionists fuzzy graphs, through which one can easily manipulate the complex intuitionism fuzzy graphs in decision making problems.
Journal ArticleDOI
Different types of products on intuitionistic fuzzy graphs
Sankar Sahoo,Madhumangal Pal +1 more
TL;DR: It is demonstrated that any of the products of strong intuitionistic fuzzy graphs are strong intuitionist fuzzy graphs, viz. direct product, semi-strong product and strong product.
Journal ArticleDOI
Product of intuitionistic fuzzy graphs and degree
Sankar Sahoo,Madhumangal Pal +1 more
References
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