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Fuzzy Metrics and Their Properties
The main purpose of this paper is to define a distance between vague objects. For this purpose both the fuzzy metric and the fuzzy metric space are defined on the bases metric space is described and proper...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Is every metric on the Cantor set sigma-monotone?
A definition of a sigma-monotone metric space is given. A question whether every null-dimensional compact dense in itself metric space is sigma-monotone....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
One of Possible Fuzzifications of Metric Spaces
The main purpose of this paper is to conceive fuzzy metric spaces as generalisation of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a fuzzy set in set ...
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Distance between vague defined objects
The fuzzy metric and the fuzzy metric space are defined on the bases of Zadeh's extension principle. The general principle of fuzzification of an arbitrary metric space is described and properties of the g...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Fuzzy distances
In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy set...
BJ - Termodynamika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fuzzy metrics
This paper has two aims: to introduce a basic conception of fuzzy sets and to generalise metric spaces to fuzzy metric space by this conception. We define the fuzzy distance between two fuzzy points in a fuzzy ...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Ramsey classes of topological and metric spaces
We consider the classes of topological and metric spaces. We show that Ramsey classes are essentially classes of finite objects only. While for Ramsey classes of topological spaces we achieve a full characterization, for
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Standard homogeneous C*-algebras as compact quantum metric spaces
Given a compact metric space X and a unital C*-algebra A, we introduce a family are able to extend convergence of compact metric spaces in the Gromov–Hausdorff on the associated compact metric spaces
Pure mathematics
- 2020 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
Are Banach spaces monadic?
We will show that Banach spaces are (a) monadic over complete metric spaces via the unit ball functor and (b) monadic over complete pointed metric spaces via the forgetful functor....
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Unified approach to graphs and metric spaces
The paper provides a generalization of a metric with values in a general structure. Quantales and special kinds of ordered monoids are shown to be suitable for this purpose. Topological and categorical properties of spaces with such...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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