A triangular norm-based fuzzy predicate logic (Q1406864)

The paper is a continuation of the authors' paper ``A triangular-norm-based propositional fuzzy logic'' [Fuzzy Sets Syst. 136, 55-70 (2003; Zbl 1030.03022)], reviewed above, and it presents a formal system of the predicate version of this logic. It is based on the nilpotent minimum t-norm \(R_0\) (left-continuous non-continuous t-norm) and is a special case of the MTL-fuzzy logic (monoidal t-norm-based). The underlying algebra of truth values is called \(R_0\)-algebra and is based on the residuation and negation with respect to the \(R_0\) t-norm. The paper contains a detailed presentation of the system and a full proof of the strong completeness theorem.