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F. Esteva and L. Godo, “Monoidal t-Norm Based Logic: Towards a Logic for Left-Continuous t-Norms,” Fuzzy Set and Systems, Vol. 124, No. 3, 2001, pp. 271-288. doi:10.1016/S0165-0114(01)00098-7

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.