Given the current limitations in fuzzy clustering metric, the aim of this paper is to present new wasserstein metric based adaptive fuzzy clustering methods for partitioning symbolic interval data. Wasserstein metric shows adavantages in digging distribution information in symbolic interval data. Besides, the proposed fuzzy clustering methods also emphasize correlation structure between indices...

The aim of this paper is to introduce the structure of the called “intuitionsitic fuzzy metric group” and after giving fundamental definitions, to study some properties of intuitionistic fuzzy metric group.

In this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang’s results [10]. Further, we obtain some applications to validate our main results to...

The aim of this paper is to introduce the notion of  -chainable intuitionistic fuzzy metric spaces and prove a common fixed point theorem for four weakly compatible mappings in this newly defined space. Our result is intuitionistic fuzzy version of Cho and Jung's [1] and Mukherjee's [9] results in  -chainable fuzzy metric space.

In this paper we introduce the notion of -chanable fuzzy metirc space. We give some conditions of which four self mappings of -chanable fuzzy metric space have a unique common fixed point. Also we characterize the conditions for two self mappings of -chanable fuzzy metric space have a unique common fixed point. Mathematics Subject Classification: 47H10, 54H25

The purpose of this paper to introduce the concept of roundness is fuzzy metric spaces. Also some theorems and definitions is given on round fuzzy metric spaces. Mathematics Subject Classification: 54A40, 54E35

We introduce the notion of the Gromov-Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented. We show that the topological properties induced by the classic Gromov-Hausdorff distance on metric spaces can be deduced from our approach.

We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we pre...

Abstract: The purpose of this paper is to discuss the properties of regularity and strong regularity of fuzzy measure on metric spaces following the previous results. Some properties are defined with the help of nulladditivity such as inner\outer regularity and the regularity of fuzzy measure. We define the strong regularity of fuzzy measures and show our result that the null-additive fuzzy mea...

In this paper, we introduce a stationary M∞-fuzzy metric on the set C B(X), where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number and C B(X) is the class of fuzzy sets with nonempty bounded closed α-cut sets. Under the φ-contraction conditions, we give some common fixed point theorems for self-mappings in the space C B(X).