Some Properties and Applications of Fuzzy Quasi-Pseudo-Metric Spaces
| Autor: | Renata Kopec, José Osvaldo Rossi, Lara Emanuele Da Luz |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Fuzzy classification Applied Mathematics 010102 general mathematics T-norm Fuzzy subalgebra Type-2 fuzzy sets and systems 01 natural sciences Defuzzification 010101 applied mathematics Algebra Fuzzy mathematics Fuzzy set operations Fuzzy number 0101 mathematics Information Systems Mathematics |
| Zdroj: | Informatica. 27:141-159 |
| ISSN: | 1822-8844 0868-4952 |
| DOI: | 10.15388/informatica.2016.73 |
| Popis: | In this paper we establish some properties of fuzzy quasi-pseudo-metric spaces. An im- portant result is that any partial ordering can be defined by a fuzzy quasi-metric, which can be applied both in theoretical computer science and in information theory, where it is usual to work with sequences of objects of increasing information. We also obtain decomposition theorems of a fuzzy quasi-pseudo metric into a right continuous and ascending family of quasi-pseudo metrics. We develop a topological foundation for complexity analysis of algorithms and programs, and based on our results a fuzzy complexity space can be considered. Also, we built a fertile ground to study some types of fuzzy quasi-pseudo-metrics on the domain of words, which play an important role on denotational semantics, and on the poset BX of all closed formal balls on a metric space. |
| Databáze: | OpenAIRE |
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