INTERVAL-VALUED INTUITIONISTIC FUZZY SOFT GRAPH

INTERVAL-VALUED INTUITIONISTIC FUZZY SOFT GRAPH

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

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Abstract

One of the theories designed to deal with uncertainty is the soft set the- ory. These collections were used due to a lack of membership functions in the  elds of decision-making, systems analysis, classi cation, data mining, medical diagnosis, etc. Fuzzy graphs based on soft sets were developed alongside fuzzy graphs. Studying these graphs, examining the properties and operators on it, give special exibility in dealing with indeterminate problems. In particular, most of the issues around us are mixed and operations are conveniently used in many combinatorial applications. Therefore, the study of operations have a signi cant e ect on solving problems based on decision- making, medical, etc. In this paper, we introduce the notion of interval-valued intuition- istic fuzzy soft graphs, by combine concepts of interval-valued intuitionistic fuzzy graphs and fuzzy soft graphs. We also present several di erent types of operations including cartesian product, strong product and composition on interval-valued intuitionistic fuzzy soft graphs and investigate some properties of them.

Keywords

Interval valued intuitionistic fuzzy graph, Fuzzy soft set, Fuzzy soft graph, Interval valued intuitionistic fuzzy soft graph.