Number of the records: 1

Characterization of Generalized Necessity Functions in Lukasiewicz Logic

SYSNO ASEP	0364950
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Characterization of Generalized Necessity Functions in Lukasiewicz Logic
Author(s)	Flaminio, T. (ES) Kroupa, Tomáš (UTIA-B)_RID
Source Title	Nonlinear Mathematics for Uncertainty and its Applications. - Chennai : Springer, 2011 / Li Shoumei ; Wang Xia ; Okazaki Yoshiaki ; Kawabe Jun ; Murofushi Toshiaki ; Guann Li - ISBN 978-3-642-22832-2
Pages	s. 619-626
Number of pages	8 s.
Action	Nonlinear Mathematics for Uncertainty and its Applications
Event date	07.09.2011-09.09.2011
VEvent location	Beijing
Country	CN - China
Event type	WRD
Language	eng - English
Country	DE - Germany
Keywords	necessity function ; belief function ; MV-algebra
Subject RIV	BA - General Mathematics
R&D Projects	1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	GA201/09/1891 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
Annotation	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.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2012

Number of the records: 1