Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
A survey on different triangular norm-based fuzzy logics
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
A triangular-norm-based propositional fuzzy logic
Fuzzy Sets and Systems - Logic and algebra
A fuzzy logic for the revised drastic product t-norm
Soft Computing - A Fusion of Foundations, Methodologies and Applications
On the scope of some formulas defining additive connectives in fuzzy logics
Fuzzy Sets and Systems
Three and two-valued Łukasiewicz theories in the formal deductive system L* (NM-logic)
Fuzzy Sets and Systems
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Firstly, a sufficient and necessary condition is given to decide whether the lattice operations of a WNM-chain can be definable from its other operations. Secondly, we show that it is indeed necessary to introduce the min-conjunction into MTL as a primitive connective by constructing a left-continuous t-norm such that in the propositional calculus defined by this t-norm the min-conjunction and max-disjunction are not definable from the strong conjunction, implication and truth constant 0@?.