0364950 20240103195610.620111101235959.9 8 s. cav_un_epca*0364673978-3-642-22832-2619-626ChennaiSpringer2011LiShoumeiWangXiaOkazakiYoshiakiKawabeJunMurofushiToshiakiGuannLi necessity function belief function MV-algebra cav_un_auth*0275448 Flaminio T. ES cav_un_auth*0101141 Kroupa Tomáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2011/MTR/kroupa-characterization of generalized necessity functions in lukasiewicz logic.pdf 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 CEZ:AV0Z10750506 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. cav_un_auth*0274794 Nonlinear Mathematics for Uncertainty and its Applications Beijing 07.09.2011-09.09.2011 CN 2012 BA http://hdl.handle.net/11104/0200307 2011 cav_un_epca*0364673 Nonlinear Mathematics for Uncertainty and its Applications 978-3-642-22832-2 619 626 Chennai Springer 2011 Advances in Intelligent and Soft Computing, Li Shoumei 340 Wang Xia 340 Okazaki Yoshiaki 340 Kawabe Jun 340 Murofushi Toshiaki 340 Guann Li 340