Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Fuzzy sets in approximate reasoning, part 2: logical approaches
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Fuzzy control from the logical point of view
Fuzzy Sets and Systems - Special issue on diagnostics and control through neural interpretations of fuzzy sets
On the logic foundation of fuzzy reasoning
Information Sciences: an International Journal
Possibility Theory, Probability Theory and Multiple-Valued Logics: A Clarification
Annals of Mathematics and Artificial Intelligence
A triangular-norm-based propositional fuzzy logic
Fuzzy Sets and Systems - Logic and algebra
Integrated semantics and logic metric spaces
Fuzzy Sets and Systems - Logic and algebra
The extensions Ln of the formal system Ln and their completeness
Information Sciences: an International Journal
On equivalent forms of fuzzy logic systems NM and IMTL
Fuzzy Sets and Systems
The R0-type fuzzy logic metric space and an algorithm for solving fuzzy modus ponens
Computers & Mathematics with Applications
Information Sciences: an International Journal
The role of fuzzy logic in the management of uncertainty in expert systems
Fuzzy Sets and Systems
Consistency degrees of theories in some systems of propositional fuzzy logic
Fuzzy Sets and Systems
Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices
Archive for Mathematical Logic
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The concept of the truth degree of a formula is the crucial tool and the building block in quantitative logic, from which the concept of logic metric in quantitative logic is derived. Logic metric takes an important role in quantitative logic, related to which are other concepts in quantitative logic such as divergence, consistency, etc. In the present paper, having combined the theory of generalized tautologies with the theory of truth degrees in quantitative logic, we have proposed the theory of @S"@C-truth degrees of formulas related to theory @C in the logic system L"n^* (n-valued NM-logic system), and discussed some of its properties. With the help of the properties of @S"@C-truth degrees: @t"@C(A)+@t"@C(A-B)@?1+@t"@C(B), we have obtained the @C-logic metric on the set F(S) of formulas in the propositional logic system L"n^* (n-valued NM-logic system). By the work of this paper we can generalize the theory of quantitative logic in all-round way and establish an approximate reasoning's framework related to theory @C in the logic system L"n^* (n-valued NM-logic system).