On multivalued logic and probability theory

被引:0
作者
Riecan, B [1 ]
机构
[1] M Bel Univ, Dept Math, SK-97401 Banska Bystrica, Slovakia
来源
SOFT METHODS IN PROBABILITY, STATISTICS AND DATA ANALYSIS | 2002年
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The idea to built probability theory on the families of fuzzy sets belongs to the first ideas of the fuzzy sets theory (see [18]). In the paper we consider the Lukasiewicz connectives ([2,7,15,16]) in the corresponding family of fuzzy sets as a base of the probability. First we present some typical methods of the theory on multivalued. logics. Then we mention recent development of the theory.
引用
收藏
页码:134 / 139
页数:6
相关论文
共 18 条
[1]   Ergodicity of MV-dynamical systems [J].
A. I. Ban .
Soft Computing, 2001, 5 (5) :327-333
[2]  
Cignoli R. L, 2013, Algebraic foundations of many-valued reasoning, V7
[3]  
Dvurecenskij A., 2000, MATH ITS APPL, V516
[4]  
JAKUBIK J, IN PRESS CZECH MATH
[5]   On the conditional expectation on probability MV-Algebras with product [J].
M. Jurečková .
Soft Computing, 2001, 5 (5) :381-385
[6]   A note on the individual ergodic theorem on product MV algebras [J].
Jurecková, M .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (03) :757-764
[7]  
Klement E. P., 2000, Triangular Norms
[8]  
MALICKY P, 1986, P C ERG THEOR REL TO, V2, P135
[9]  
MESIAR R, 1993, TATRA MT MATH PUBL, V9, P183
[10]   An algebraic approach to propositional fuzzy logic [J].
Montagna F. .
Journal of Logic, Language and Information, 2000, 9 (1) :91-124