Bibliografie

Conference Paper (international conference)

Characterization of Generalized Necessity Functions in Lukasiewicz Logic

: Nonlinear Mathematics for Uncertainty and its Applications, p. 619-626 , Eds: Li Shoumei, Wang Xia, Okazaki Yoshiaki, Kawabe Jun, Murofushi Toshiaki, Guann Li

: Nonlinear Mathematics for Uncertainty and its Applications, (Beijing, CN, 07.09.2011-09.09.2011)

: CEZ:AV0Z10750506

: 1M0572, GA MŠk, GA201/09/1891, GA ČR

: necessity function, belief function, MV-algebra

: http://library.utia.cas.cz/separaty/2011/MTR/kroupa-characterization of generalized necessity functions in lukasiewicz logic.pdf

(eng): 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.

: BA