In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al...

In this paper, we shall present strong laws of large numbers (SLLN’s) for independent (not necessary identically distributed) fuzzy set-valued random variables whose base space is a separable Banach space or an Euclidean space, in the sense of the extended Hausdorff metric d∞ H .We apply the method to the sequence of independent identically distributed fuzzy set-valued random variables to give ...

This paper investigates the fractals generated by the dynamical system of intuitionistic fuzzy contractions in the intuitionistic fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard intuitionistic fuzzy metric spaces by using the intuitionistic fuzzy Banach contraction theorem. In addition to that, we an...

Aiming at configuration design for mass customization, this paper develops a fuzzy ranking methodology for concept evaluation. The fuzzy preference relation is applied to modeling the fuzziness on the level of a single criterion as well as on a global level. The ranking approach integrates linguistic terms and fuzzy numbers into the fuzzy preference model so as to characterize both intangible a...

This paper presents a new approach to clustering fuzzy data, called Extensional Tree (ET) clustering algorithm by defining a dendrogram over fuzzy data and using a new metric between fuzzy numbers based on α-cuts. All the similar previous methods extended FCM to support fuzzy data. The present work is based on hierarchical clustering algorithm to cluster fuzzy data. In this novel approach a den...