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Título: | Geometrical aspects of possibility measures on finite domain MV-clans |
Autor: | Flaminio, Tommaso CSIC ORCID ; Godo, Lluis CSIC ORCID ; Marchioni, Enrico | Palabras clave: | Max-plus convexity Possibility measures MV-algebras Idempotent mathematics |
Fecha de publicación: | 2012 | Editor: | Springer Nature | Citación: | Soft Computing 16 (11): 1863- 1873 (2012) | Resumen: | In this paper, we study generalized possibility and necessity measures on MV-algebras of [0, 1]-valued functions (MV-clans) in the framework of idempotent mathematics, where the usual field of reals ℝ is replaced by the max-plus semiring ℝ max We prove results about extendability of partial assessments to possibility and necessity measures, and characterize the geometrical properties of the space of homogeneous possibility measures. The aim of the present paper is also to support the idea that idempotent mathematics is the natural framework to develop the theory of possibility and necessity measures, in the same way classical mathematics serves as a natural setting for probability theory. © 2012 Springer-Verlag. | URI: | http://hdl.handle.net/10261/134469 | DOI: | 10.1007/s00500-012-0838-0 | Identificadores: | doi: 10.1007/s00500-012-0838-0 issn: 1432-7643 |
Aparece en las colecciones: | (IIIA) Artículos |
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SC16_1863-73.pdf | 328,42 kB | Adobe PDF | Visualizar/Abrir |
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