A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction
| Autor: | Mutlu Güloğlu, Gültekin Soylu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
0209 industrial biotechnology Fuzzy classification Article Subject Mathematics::General Mathematics lcsh:Mathematics T-norm 02 engineering and technology lcsh:QA1-939 Type-2 fuzzy sets and systems Defuzzification Convex metric space Algebra 020901 industrial engineering & automation Metric (mathematics) 0202 electrical engineering electronic engineering information engineering Fuzzy number Fuzzy set operations 020201 artificial intelligence & image processing ComputingMethodologies_GENERAL Analysis Mathematics |
| Zdroj: | Journal of Function Spaces, Vol 2016 (2016) |
| ISSN: | 2314-8896 |
| DOI: | 10.1155/2016/2945210 |
| Popis: | We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies. |
| Databáze: | OpenAIRE |
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