Fuzzy Euclidean Normed Spaces for Data Mining Applications

Atomic Decompositions of Fuzzy Normed Linear Spaces for Wavelet Applications

Wavelet analysis is a powerful tool withmodern applications as diverse as: image processing, signal processing, data compression, data mining, speech recognition, computer graphics, etc. The aim of this paper is to introduce the concept of atomic decomposition of fuzzy normed linear spaces, which play a key role in the development of fuzzy wavelet theory. Atomic decompositions appeared in appli...

Euclidean Structure in Finite Dimensional Normed Spaces

On weak fuzzy normed spaces

In this paper we study some aspects of the topological structure of the weak fuzzy normed spaces and its relation with the topological vector spaces. We give characterizations of those topological vector spaces that are metrizable, locally bounded and normable in terms of weak fuzzy norms. Mathematics Subject Classification (2010): 54A40, 46S40, 54E35, 46A03, 46A16.

Intuitionistic fuzzy generalized normed spaces

The aim of this paper is to study the generalization of the intuitionistic fuzzy normed spaces such as intuitionistic fuzzy 2-normed space. In this structure, we have discussed the intuitionistic fuzzy 2continuity and intuitionistic fuzzy 2-boundedness. Also, we have introduced the intuitionistic fuzzy ψ-2-normed space which is a generalization of intuitionistic fuzzy 2-normed space. We have di...

On Generalized Fuzzy Normed Spaces

In this paper, generalized fuzzy 2-norms are defined on a set of objects endowed with a structure of linear space. The relationships between these fuzzy 2-norms and fuzzy metrics and between these fuzzy 2-norms and the topological structures induced on a linear space are analyzed. Some open problems in this framework are mentioned. Mathematics Subject Classification: 46A19, 54A40