in this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.

in this paper, we study fuzzy substructures in connection withhv-structures. the original idea comes from geometry, especially from thetwo dimensional euclidean vector space. using parameters, we obtain a largenumber of hyperstructures of the group-like or ring-like types. we connect,also, the mentioned hyperstructures with the theta-operations to obtain morestrict hyperstructures, as hv-groups...

Given a compact and connected metric space (continuum) X, we study topological and dynamical properties of the hyperspace of normal fuzzy sets F1(X) equipped with the Hausdorff, endograph or sendograph metric. Among the many results we show that it is contractible, path connected, locally contractible, locally path connected, locally simply connected and locally connected. For the endograph met...

Some asymptotic properties of point estimation with n-dimensional fuzzy data with respect to a special L2-metric ρ are investigated in this paper. It is shown that the collection of all n-dimensional fuzzy data endowed with the ρ-metric is a complete and separable space. Some criterions for point estimation in such fuzzy environments are proposed and the sample mean and variance and covariance ...

In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...

Abstract This paper is devoted to finding out some realization of the concept b -metric like space. First, we attain a fixed point for two fuzzy mappings satisfying suitable requirement contractiveness. Subsequently, apply such result graphic contractions. Also, unique solution system integral equations, and lastly give an application ensure that there exists common bounded functional equation ...

In this paper we establish some fixed point theorems for Generalized Contraction mappings in complete fuzzy 2-metric space which are the extension of some known result of many authors. 1 Introduction In 1965, the concept of fuzzy set was introduced initially by Zadeh [11] since then many authors have expansively developed the theory of fuzzy sets and applications. Especially Deng [1], Ereeg [2]...

This manuscript contains several new notions including intuitionistic fuzzy Nb metric space, quasi-Sb-metric pseudo-Sb-metric quasi-N-metric space and pseudo space. We prove decomposition theorem fixed-point results in the setting of Further, we provide non-trivial examples to show validity introduced results. At end, solve an integral equation, system linear equations nonlinear fractional diff...