International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
On a family of copulas constructed from the diagonal section
Soft Computing - A Fusion of Foundations, Methodologies and Applications
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
On the structure of left-continuous t-norms that have a continuous contour line
Fuzzy Sets and Systems
Negation and affirmation: the role of involutive negators
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Rotation-invariant t-norms: The rotation invariance property revisited
Fuzzy Sets and Systems
Rotation-invariant t-norms: Where triple rotation and rotation--annihilation meet
Fuzzy Sets and Systems
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Continuous R-implications generated from representable aggregation functions
Fuzzy Sets and Systems
Dual representable aggregation functions and their derived S-implications
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Some remarks on the characterization of idempotent uninorms
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Fuzzy Sets and Systems
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In this paper a method of defining commutative semicopulas from fuzzy negations is introduced. Some properties are investigated that lead to understand these semicopulas as non-associative generalizations of the Lukasiewicz t-norm. In particular, it is proved that some well known examples of copulas and t-norms can be obtained by this method. Moreover, any commutative semicopula constructed by this method can be always obtained from a negation N which is symmetric with respect to the diagonal. Then, those symmetric fuzzy negations N for which the corresponding semicopula is a copula are characterized. Also, several examples of symmetric negations N are given such that the corresponding semicopula is a t-norm.