TITLE:
The Theory of Membership Degree of Γ-Conclusion in Several n-Valued Logic Systems
AUTHORS:
Jiancheng Zhang
KEYWORDS:
N-Valued Propositional Logic; Γ-Conclusion; Theory; Root; Membership Degree
JOURNAL NAME:
American Journal of Operations Research,
Vol.2 No.2,
June
20,
2012
ABSTRACT: Based on the analysis of the properties of Γ-conclusion by means of deduction theorems, completeness theorems and the theory of truth degree of formulas, the present papers introduces the concept of the membership degree of formulas A is a consequence of Γ (or Γ-conclusion) in Lukasiewicz n-valued propositional logic systems, Godel n-valued propositional logic system and the R0 n-valued propositional logic systems. The condition and related calculations of formulas A being Γ-conclusion were discussed by extent method. At the same time, some properties of membership degree of formulas A is a Γ-conclusion were given. We provide its algorithm of the membership degree of formulas A is a Γ-conclusion by the constructions of theory root.