NEW CONCEPTS ON m-POLAR INTERVAL-VALUED INTUITIONISTIC FUZZY GRAPH

NEW CONCEPTS ON m-POLAR INTERVAL-VALUED INTUITIONISTIC FUZZY GRAPH

A. A. Talebi, H. Rashmanlou, S. H. Sadati

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Abstract

Theoretical concepts of graphs are highly utilized by computer science appli- cations. Especially in research areas of computer science such as data mining, image seg- mentation, clustering, image capturing and networking. The concept of interval-valued intuitionistic fuzzy set was introduced by Atanassov [3]. Interval-valued intuitionistic fuzzy sets provide a more adequate description of uncertainly than the traditional fuzzy sets. It has many applications in fuzzy control and the most computationally intensive part of fuzzy control is defuzzication. In this paper the authors introduced the con- cepts of m-polar interval-valued intuitionistic fuzzy graph (IVIFG), edge regular m-polar IVIFG, totally edge regular m-polar IVIFG and highly irregular m-polar IVIFG.

Keywords

m-polar IVIFG, edge regular m-polar IVIFG, totally edge regular m-polar IVIFG, highly irregular m-polar IVIFG.