Paper Info
Title
Consistency Degrees of Theories in Lukasiewicz Fuzzy and n-valued Propositional Logic Systems
Abstract
By means of theory of truth degrees of formulas, according to deduction theorems and completeness theorems, the new concepts of consistency degrees and polar index for general theories in Lukasewicz fuzzy and n-valued propositional logic systems are introduced. Moreover, sufficient and necessary conditions for a theory Gamma to be consistent, inconsistent and fully divergent are obtained. Finally, Some important properties of truth degree of formula are proposed.
Year
DOI
Venue
2008
10.1109/ICNC.2008.352
ICNC
Keywords
Field
DocType
deduction theorems,completeness theorem,truth degree,lukasiewicz fuzzy,new concept,consistency degrees,n-valued propositional logic systems,lukasiewicz fuzzy logic systems,necessary condition,polar index,fuzzy logic,completeness theorems,theory,consistency degree,theoryof truth degree,general theory,truth degrees,deduction theorem,important property,algebra,mathematics,cost accounting,indexes
T-norm fuzzy logics,Discrete mathematics,Mathematical optimization,Algebra,Fuzzy logic,Truth value,Propositional calculus,Completeness (statistics),Well-formed formula,Propositional formula,Propositional variable,Mathematics
Conference
Volume
ISBN
Citations 
7
978-0-7695-3304-9
0
PageRank 
References 
Authors
0.34
4
3
Name
Order
Citations
PageRank
Jiancheng Zhang141.75
Lianta Su200.34
Shui-Li Chen35414.92