Počet záznamů: 1

Characterization of Generalized Necessity Functions in Lukasiewicz Logic

  1. 1.
    0364950 - UTIA-B 2012 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
    Flaminio, T. - Kroupa, Tomáš
    Characterization of Generalized Necessity Functions in Lukasiewicz Logic.
    Nonlinear Mathematics for Uncertainty and its Applications. Chennai: Springer, 2011 - (Li, S.; Wang, X.; Okazaki, Y.; Kawabe, J.; Murofushi, T.; Guann, L.), s. 619-626. Advances in Intelligent and Soft Computing,. ISBN 978-3-642-22832-2.
    [Nonlinear Mathematics for Uncertainty and its Applications. Beijing (CN), 07.09.2011-09.09.2011]
    Grant CEP: GA MŠk 1M0572; GA ČR GA201/09/1891
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: necessity function * belief function * MV-algebra
    Kód oboru RIV: BA - Obecná matematika
    http://library.utia.cas.cz/separaty/2011/MTR/kroupa-characterization of generalized necessity functions in lukasiewicz logic.pdf http://library.utia.cas.cz/separaty/2011/MTR/kroupa-characterization of generalized necessity functions in lukasiewicz logic.pdf

    We study a generalization of necessity functions to MV-algebras. In particular, we are going to study belief functions whose associated mass assignments have nested focal elements. Since this class of belief functions coincides with necessity functions on Boolean algebras, we will call them generalized necessity functions. Using geometrical and combinatorial techniques we provide several characterizations of these functions in terms of Choquet integral, Lebesgue integral, and min-plus polynomials.
    Trvalý link: http://hdl.handle.net/11104/0200307