Fuzzy Sets Over the Poset I
| Autor: | TİRYAKİ, İ. U. |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Volume: 37, Issue: 2 143-166 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 2651-477X |
| Popis: | The author studies fuzzy sets over the poset I = [0, 1] with the usualorder. These form a canonical example of fuzzy sets over a poset discussed in (Tiryaki, ˙I. U. and Brown, L. M. Plain textures and fuzzysets via posets, preprint). Characterizations of these so called “softfuzzy sets” are obtained, and soft fuzzy sets are shown to have a richermathematical theory than classical I-fuzzy sets. In particular soft fuzzypoints behave like the points of crisp set theory with respect to join, andmoreover there exists a Lowen type functor from Top to the constructSF-Top that preserves both separation and compactness. |
| Databáze: | OpenAIRE |
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