The Distribution of Quasi-Truth Degree in 4-Valued Lukasiewicz Logic System (I)

Author

Zuo, Weibing

Author_Institution

Coll. of Math. & Inf. Sci., North China Univ. of Water Conservancy & Hydroelectric Power, Zhengzhou, China

fYear

2010

fDate

22-23 May 2010

Firstpage

1

Lastpage

4

Abstract

For the approximate reasoning method based on truth degree is extended to the case of non-uniform assignment, we define assignment weight vector in discrete probability space and quasi-truth degree of formula in Lukasiewicz 4-valued logic system which is popularized from truth degree of formula. We also prove that the set of quasi-truth degree of all formulas in the range of [0,1] is dense and give the general expression of quasi-truth degree when assignment weight vector is (a/7, b/7, c/7, d/7). We provide a possible structure of approximate reasoning theory.

Keywords

fuzzy logic; fuzzy set theory; inference mechanisms; multivalued logic; probability; uncertainty handling; vectors; 4-valued Lukasiewicz logic system; approximate reasoning method; assignment weight vector; discrete probability space; nonuniform assignment; quasitruth degree distribution; Cost accounting; Educational institutions; Extraterrestrial measurements; Genetic expression; Information science; Mathematics; Probabilistic logic; Stochastic processes; Water conservation;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems and Applications (ISA), 2010 2nd International Workshop on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-5872-1

Electronic_ISBN

978-1-4244-5874-5

Type

conf

DOI

10.1109/IWISA.2010.5473599

Filename

5473599