[PDF] Top 20 Completable fuzzy metric spaces

... The notion of fuzzy metric space has been presented from different points of view. One of them, which we deal in this paper, was introduced by George and Veeramani in [1, 3], where the authors studied this ... See full document

... topological spaces which are fuzzy metrizable agrees with the class of metriz- able topological spaces (see [3,8]) and then, some classical theorems on metric completeness and metric ... See full document

... -fuzzy metric spaces a weaker concept than the Cauchy sequence and in a natural way a stronger concept of completeness that we will call G-Cauchyness and G-completeness, ...first fuzzy version ... See full document

... A fuzzy metric space (X, M, ∗) is called strong if it satisfies the additional condition M (x, z, t) ≥ M (x, y, t) ∗ M (y, z, t) or all x, y, z ∈ X, t > ...Strong fuzzy metrics are interesting ... See full document

... The appearance of a parameter t in the definition of M allows to introduce new particular definitions in fuzzy metric context. In particular, the following well-motivated concepts (see the introductions of ... See full document

... A significant difference between a classical metric and a fuzzy metric is that this last one includes in its definition a parameter t. This fact has been successfully used in engineering applications ... See full document

... tionary fuzzy metric spaces from classical metric spaces by means of metric preserving functions and, in addition, we have studied the completion and completeness of such ... See full document

... of fuzzy metric is that it includes in its definition a parameter ...(fuzzy metric) concepts that only have natural sense in the fuzzy metric ... See full document

... on fuzzy normed spaces are relatively recent in the field of fuzzy functional ...vector spaces, was the first to introduce the idea of fuzzy norm on a linear ...induced fuzzy ... See full document

... A fuzzy metric space in which every convergent sequence is s-convergent is called s-fuzzy metric ...principal fuzzy metric spaces [3], the class of s-fuzzy ... See full document

... classical metric, partial metric and fuzzy one, in a single one ...of fuzzy partial metric, which was defined using the continuous minimum ...the fuzzy partial ...partial ... See full document

... Regarding the last paragraph, on the one hand, we notice that there are several concepts of Cauchy sequence in the literature [6]. Here we focus our attention in the two concepts used in fuzzy fixed point theory. ... See full document

... of fuzzy metric includes in its definition a parameter, t, that allows to introduce novel (fuzzy metric) concepts with respect to the classical metric ...strong fuzzy ... See full document

... A fuzzy metric space is an ordered triple (X, M, ∗) such that X is a (non-empty) set, ∗ is a continuous t-norm and M is a fuzzy set on X × X×]0, ∞[ satisfying the following conditions, for all x, y, ... See full document

... Finally, metric structures generally do not consider the memory hierarchy; therefore, it is important to consider this aspect in order to achieve greater performance and efficiency with the ability to use ... See full document

... We have tested several options in our experiments. For the parameter α we con- sider: 0% (without any ghost hyperplane), 1%, 3%, 10%, 30%, and 100% (without any rebuilding). In all cases, if α = 0%, as is pure ... See full document

... color spaces, the redness and blueness peak wavelengths were identical, and the greenness peak nearly so, possibly a result of the various optimization constraints, rather than some fundamental property of color ... See full document

... The similarity search problem can be formalized through the concept of metric space. Given a set of objects and a distance function between them, which measures how different they are, the objective is to retrieve ... See full document

... supremum metric) fuzzy-number-valued functions defined on a compact Hausdorff space can be (uniformly) approx- imated to any degree of accuracy, which yields a Stone-Weierstrass type result in this ... See full document

... Notice that our definition is apparently different from that given in [2] because their sum is over dyadic cubes. But in the real line for each dyadic interval I there exists a unique wavelet function supported in I. In ... See full document