Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
A family of strict and discontinuous triangular norms
Fuzzy Sets and Systems
New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
Observations on the monoidal t-norm logic
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
A general method for constructing left-continuous t-norms
Fuzzy Sets and Systems - Theme: Basic concepts
BL-algebras and effect algebras
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
On the (fuzzy) logical content of CADIAG-2
Fuzzy Sets and Systems
Nuclei and conuclei on residuated lattices
Fuzzy Sets and Systems
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After dropping the implication-like operation and reversing the order, an MTL-algebra becomes a partially ordered structure (L;@?,@?,0,1) based on the single addition-like operation @?. Furthermore, @? may be restricted to a partial, but cancellative addition+without loss of information. We deal in this paper with the case that the resulting partial algebra (L;@?,+,0,1) is embeddable into the positive cone of a partially ordered group. It turns out that most of the examples of MTL-algebras known at present can be represented in this way. So the systematisation of a considerable class of MTL-algebras is achieved, and the methods of their construction are brought onto a common line.