L.A Zadeh introduced fuzzy set theory in 1965. Many researchers took interest in the theory and evolved many generalizations of the concept. One of them was the Intuitionistic fuzzy set introduced by K.T.Atanassov in 1986. Since its inception, the literature on IFS Theory and its application has been rapidly amounting by now to several thousands of papers. In this paper, IF approach is being ap...

Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade. In this paper, we introduce and investigate some properties of intuitionistic fuzzy rough approximation operators and intuitionistic fuzzy relat...

In this paper we introduce a new notion of generalized metric, called i-metric. This generalization is made by changing the valuation space of the distance function. The result is an interesting distance function for the set of fuzzy numbers of Interval Type with non negative fuzzy numbers as values. This example of i-metric generates a topology in a very natural way, based on open balls. We pr...