Min and Max Operators for Gradual Intervals
| Autor: | Laurent Foulloy, Sylvie Galichet, Reda Boukezzoula |
|---|---|
| Přispěvatelé: | Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance (LISTIC), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]) |
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
min and max operators Context (language use) 02 engineering and technology Fuzzy logic Interpretation (model theory) [SPI]Engineering Sciences [physics] 020901 industrial engineering & automation Artificial Intelligence intervals 0202 electrical engineering electronic engineering information engineering [INFO]Computer Science [cs] [MATH]Mathematics [math] Special case Representation (mathematics) Mathematics Discrete mathematics Applied Mathematics Gradual intervals Extension (predicate logic) Computational Theory and Mathematics Control and Systems Engineering midpoint–radius 15 representation (MR) Interval (graph theory) 020201 artificial intelligence & image processing [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| Zdroj: | IEEE Transactions on Fuzzy Systems IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2018, 26 (6), pp.3569-3578. ⟨10.1109/TFUZZ.2018.2837651⟩ |
| ISSN: | 1941-0034 1063-6706 |
| DOI: | 10.1109/tfuzz.2018.2837651 |
| Popis: | International audience; This paper presents a new and a more general formulation of the min and max operations for gradual intervals, initially proposed for the special case of triangular fuzzy intervals. Gradual intervals generalize the conventional interval representation by increasing its specificity, thereby making it possible to represent the imprecision and the uncertainty via the notion of gradualness. In this context, a new interpretation of fuzzy intervals through the notion of gradual intervals is developed. The originality of the proposed methodology lies in the extension of inter-interval relations to the gradual case according to midpoint– radius representation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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