Properties of Atanassov’s intuitionistic fuzzy relations and Atanassov’s operators

The goal of this paper is to consider properties of Atanassov’s intuitionistic fuzzy relations which were introduced by Atanassov in 1986. Fuzzy set theory turned out to be a useful tool to describe situations in which the data are imprecise or vague. Atanassov’s intuitionistic fuzzy set theory is a generalization of fuzzy set theory which was introduced by Zadeh in 1965. This paper is a continuation of examinations by Pe¸kala on the interval-valued fuzzy relations. We study standard properties of Atanassov’s intuitionistic fuzzy relations in the context of Atanassov’s operators.