In this paper we introduce and study the concept of intuitionistic fuzzy alpha generalized connected space in fuzzy topological spaces. AMS Classification Code: 54A40

In this paper, homogeneous regions formed by using multiscale intuitionistic fuzzy set is compared with homogeneous regions formed by multiscale representation of an image. The later approach does not consider the equivocal nature of the real world objects and is not accurate enough to measure the homogeneity in a real world scenario. By applying the theories of scale-space along with intuition...

In this paper we introduce intuitionistic fuzzy generalized beta continuous mappings and intuitionistic fuzzy generalized beta irresolute mappings. We investigate some of their properties. Also we provide some characterization of intuitionistic fuzzy generalized beta continuous mappings and intuitionistic fuzzy generalized beta irresolute mappings. INTRODUCTION Atanassov [1] introduced the noti...

First, we introduce the concept of intuitionistic fuzzy group congruenceand we obtain the characterizations of intuitionistic fuzzy group congruenceson an inverse semigroup and a T^{*}-pure semigroup, respectively. Also,we study some properties of intuitionistic fuzzy group congruence. Next, weintroduce the notion of intuitionistic fuzzy semilattice congruence and we givethe characterization of...

In this paper we define dislocated generalized intuitiionistic fuzzy metric space and prove common fixed point theorems for weakly compatible maps in dislocated generalized intuitionistic fuzzy metric spaces.

the main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. we develop the theory of t-bestsimultaneous approximation in quotient spaces. then, we discuss the relationshipin t-proximinality and t-chebyshevity of a given space and its quotientspace.

In this paper, we study lacunary statistical convergence in intuition-istic fuzzy normed space. We also introduce here a new concept, that is, statistical completeness and show that IFNS is statistically complete but not complete.