Title :
The distribution of truth degrees in quintuple lattice-valued logic
Author_Institution :
Coll. of Math. & Inf. Sci., North China Univ. of Water Conservancy & Hydroelectric Power, Zhengzhou, China
Abstract :
In order to establish approximate reasoning in quintuple lattice-valued logic system. Following Wang (2006), based on the infinite product of evenly distributed probability space with cardinality number is 5, the theory of truth degree in quintuple lattice-valued logic system was introduced. Some inference rules were given. It was proved that the set of truth degree of formulae is dense in [0,1], and the expression of truth degree were obtained. Therefore a possible framework for establishing approximate reasoning theory of quintuple lattice-valued logic system was proposed.
Keywords :
inference mechanisms; multivalued logic; statistical distributions; approximate reasoning; distributed probability space; inference rules; quintuple lattice valued logic; truth degrees distribution; Algebra; Educational institutions; Information science; Lattices; Logic functions; Mathematics; Water conservation; approximate reasoning; probability space; quintuple lattice-valued logic system; truth degree;
Conference_Titel :
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6347-3
DOI :
10.1109/ICCET.2010.5486008
