The notion of intuitionistic fuzzy metric space was introduced by Park (2004) and the concept of intuitionistic fuzzy normed space by Saadati and Park (2006). Recently Mursaleen and Lohani introduced the concept of intuitionistic fuzzy 2-metric space (2009) and intuitionistic fuzzy 2-norm space. This paper studies precompactness and metrizability in this new setup of intuitionistic fuzzy 2-metr...

INTRODUCTION The concept of fuzzy sets introduced by Zadeh [19], was the foundation of fuzzy metric space. Fuzzy metric spaces have been introduced by Kramosil and Michalek [8] and George and Veeramani [3] modified the notion of fuzzy metric spaces with the help of continuous tnorm. Recently many authors such as [4], [7], [14] and [15] have proved fixed point theorems involving fuzzy sets. Bouh...

binayak et al in [1] proved a fixed point of generalized kannan type-mappings in generalized menger spaces. in this paper we extend gen- eralized kannan-type mappings in generalized fuzzy metric spaces. then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. finally we present an example of our main result.

In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.

this study is an investigation of fuzzy linear regression model for crisp/fuzzy input and fuzzy output data. a least absolutes deviations approach to construct such a model is developed by introducing and applying a new metric on the space of fuzzy numbers. the proposed approach, which can deal with both symmetric and non-symmetric fuzzy observations, is compared with several existing models by...

This manuscript contains several fixed point results for αΓ-F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that distance function is consistent and does not favour any one direction No matter how points are arranged, it enables a fair assessment separations between all them. In results, symmetry condition preserved types self-m...

The system PICASSO 2 represents the latest version of software package, designed for a comparative evaluation of image processing algorithms. In this paper we discuss the part of the system which evaluates edge detectors and consider its fuzzy extension. Namely, we introduce the ground truth edge maps defined in the fuzzy way and complete the system with several fuzzy similarity measures. The p...

In the present paper, we give a new approach to Caristi's fixed pointtheorem on non-Archimedean fuzzy metric spaces. For this we define anordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonemptyset $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%. Hence, we prove our result by considering the original Caristi's fixedpoint theorem.

Clustering has been used in various fields, such as image processing, data mining, pattern recognition, and statistical analysis. Generally, clustering algorithms consider all variables equally relevant or not correlated. Nevertheless, the of samples multidimensional space can be geometrically complicated, e.g., clusters may exist different subsets features. In this regard, new soft subspace ha...