Orders Preserving Convexity Under Intersections for Interval-Valued Fuzzy Sets
| Autor: | Susana Montes, Vladimír Janiš, Pedro Alonso, Pedro Huidobro |
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| Rok vydání: | 2020 |
| Předmět: |
Discrete mathematics
Property (philosophy) Intersection Fuzzy set 0202 electrical engineering electronic engineering information engineering Order (group theory) 020206 networking & telecommunications 020201 artificial intelligence & image processing 02 engineering and technology Convexity Interval valued Mathematics |
| Zdroj: | Information Processing and Management of Uncertainty in Knowledge-Based Systems ISBN: 9783030501525 IPMU (3) |
| DOI: | 10.1007/978-3-030-50153-2_37 |
| Popis: | Convexity is a very important property in many areas and the studies of this property are frequent. In this paper, we have extended the notion of convexity for interval-valued fuzzy sets based on different order between intervals. The considered orders are related and their behavior analyzed. In particular, we study the preservation of the convexity under intersections, where again the chosen order is essential. After this study, we can conclude the appropriate behavior of the admissible orders for this purpose. |
| Databáze: | OpenAIRE |
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