New concepts of interval-valued intuitionistic (S, T)-fuzzy graphs

Hossein Rashmanlou · R. A. Borzooei

28 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Advanced Algebra and Logic Advanced Mathematical Theories

Abstract

The concept of interval-valued intuitionistic fuzzy set was introduced by Atanassov (See [6]). Interval-valued intuitionistic fuzzy sets provide a more adequate description of uncertainty than the traditional fuzzy sets. It has many applications in fuzzy control and the most computationally intensi ve part of fuzzy control is defuzzification. In this paper, firstly different kinds of interval valued intuitionistic (S, T)-fuzzy graphs are defined. We introduced several types of arcs in the interval valued intuitionistic (S, T)-fuzzy graphs and studied their properties. These arcs are used to study the structure of complete interval valued intuitionistic (S, T)-fuzzy graphs and constant interval valued intuitionistic (S, T)-fuzzy graphs.

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1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 1989Interval valued intuitionistic fuzzy sets 1999Intuitionistic Fuzzy Sets 2019Interval-Valued Intuitionistic Fuzzy Sets 2013- Theory and applications 2012On Intuitionistic Fuzzy Sets Theory

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2016Properties of interval valued intuitionistic (S,T) – Fuzzy graphs

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