G. J. Wang and H. Wang, “Non-Fuzzy Versions of Fuzzy Reasoning in Classical Logic,” Information Sciences, Vol. 138, No. 1-4, 2011, pp. 211-236. doi:10.1016/S0020-0255(01)00131-1
has been cited by the following article:
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.