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Enric Trillas

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Papers by Enric Trillas

Research paper thumbnail of On the Coherence Between Probability and Possibility Measures 1

Research paper thumbnail of Entropy and fuzzy integral

Journal of Mathematical Analysis and Applications, 1979

Research paper thumbnail of A first mathematical approach toΣ-transform

Journal of Mathematical Analysis and Applications, 1983

Research paper thumbnail of On the representation of fuzzy rules

International Journal of Approximate Reasoning, 2008

Research paper thumbnail of Doc

Research paper thumbnail of On consequence in approximate reasoning

Journal of Applied Non-Classical Logics, 1994

Research paper thumbnail of Inducing implication relations

International Journal of Approximate Reasoning, 1994

Research paper thumbnail of Classes of fuzzy sets with the same material conditional

International Journal of Approximate Reasoning, 1997

Research paper thumbnail of On conjectures in orthocomplemented lattices

Artificial Intelligence, 2000

Research paper thumbnail of Aggregation, Non-Contradiction and Excluded-Middle

Research paper thumbnail of When QM‐operators are implication functions and conditional fuzzy relations

International Journal of Intelligent Systems, 2000

ABSTRACT Some fuzzy reasoning systems base inference processes on fuzzy implication functions. Al... more ABSTRACT Some fuzzy reasoning systems base inference processes on fuzzy implication functions. Although there has been a great deal of work done on characterizing R- and S-implications, little is known about QM-implications in spite of their long history since they came to fuzzy logic by analogy with the quantum mechanic logic. This paper tackles the study of some characteristics of this type of operator. It focuses on the QM-implication operator both as an implication function and also as a T-conditional function, giving useful tools to characterize them. © 2000 John Wiley & Sons, Inc.

Research paper thumbnail of Aggregation operators from the ancient NC and EM point of view

summary:This paper deals with the satisfaction of the well-known Non-Contradiction (NC) and Exclu... more summary:This paper deals with the satisfaction of the well-known Non-Contradiction (NC) and Excluded-Middle (EM) principles within the framework of aggregation operators. Both principles are interpreted in a non-standard way, based on self-contradiction (as in Ancient Logic) instead of falsity (as in Modern Logic). The logical negation is represented by means of strong negation functions, and conditions are given both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying the laws w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators

Research paper thumbnail of A general class of triangular norm-based aggregation operators: quasi-linear T–S operators

International Journal of Approximate Reasoning, 2002

Research paper thumbnail of Crisp sets as classes of discontinuous fuzzy sets

International Journal of Approximate Reasoning, 2009

Research paper thumbnail of On MPT-implication functions for Fuzzy Logic

This paper deals with numerical functions able to functionally

Research paper thumbnail of Fuzzy Sets from a Mathematical-Naïve Point of View

Technologies for Constructing Intelligent Systems 2, 2002

ABSTRACT

Research paper thumbnail of Stability, Indistinguishability and Small Numbers

Research paper thumbnail of On Iterative Boolean-Like Laws of Fuzzy Sets

Research paper thumbnail of Fuzziness, Cognition and Cybernetics: an outlook on future

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology, 2015

Research paper thumbnail of Observability and the Case of Probability

Studies in Fuzziness and Soft Computing, 2002

ABSTRACT

Research paper thumbnail of On the Coherence Between Probability and Possibility Measures 1

Research paper thumbnail of Entropy and fuzzy integral

Journal of Mathematical Analysis and Applications, 1979

Research paper thumbnail of A first mathematical approach toΣ-transform

Journal of Mathematical Analysis and Applications, 1983

Research paper thumbnail of On the representation of fuzzy rules

International Journal of Approximate Reasoning, 2008

Research paper thumbnail of Doc

Research paper thumbnail of On consequence in approximate reasoning

Journal of Applied Non-Classical Logics, 1994

Research paper thumbnail of Inducing implication relations

International Journal of Approximate Reasoning, 1994

Research paper thumbnail of Classes of fuzzy sets with the same material conditional

International Journal of Approximate Reasoning, 1997

Research paper thumbnail of On conjectures in orthocomplemented lattices

Artificial Intelligence, 2000

Research paper thumbnail of Aggregation, Non-Contradiction and Excluded-Middle

Research paper thumbnail of When QM‐operators are implication functions and conditional fuzzy relations

International Journal of Intelligent Systems, 2000

ABSTRACT Some fuzzy reasoning systems base inference processes on fuzzy implication functions. Al... more ABSTRACT Some fuzzy reasoning systems base inference processes on fuzzy implication functions. Although there has been a great deal of work done on characterizing R- and S-implications, little is known about QM-implications in spite of their long history since they came to fuzzy logic by analogy with the quantum mechanic logic. This paper tackles the study of some characteristics of this type of operator. It focuses on the QM-implication operator both as an implication function and also as a T-conditional function, giving useful tools to characterize them. © 2000 John Wiley & Sons, Inc.

Research paper thumbnail of Aggregation operators from the ancient NC and EM point of view

summary:This paper deals with the satisfaction of the well-known Non-Contradiction (NC) and Exclu... more summary:This paper deals with the satisfaction of the well-known Non-Contradiction (NC) and Excluded-Middle (EM) principles within the framework of aggregation operators. Both principles are interpreted in a non-standard way, based on self-contradiction (as in Ancient Logic) instead of falsity (as in Modern Logic). The logical negation is represented by means of strong negation functions, and conditions are given both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying the laws w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators

Research paper thumbnail of A general class of triangular norm-based aggregation operators: quasi-linear T–S operators

International Journal of Approximate Reasoning, 2002

Research paper thumbnail of Crisp sets as classes of discontinuous fuzzy sets

International Journal of Approximate Reasoning, 2009

Research paper thumbnail of On MPT-implication functions for Fuzzy Logic

This paper deals with numerical functions able to functionally

Research paper thumbnail of Fuzzy Sets from a Mathematical-Naïve Point of View

Technologies for Constructing Intelligent Systems 2, 2002

ABSTRACT

Research paper thumbnail of Stability, Indistinguishability and Small Numbers

Research paper thumbnail of On Iterative Boolean-Like Laws of Fuzzy Sets

Research paper thumbnail of Fuzziness, Cognition and Cybernetics: an outlook on future

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology, 2015

Research paper thumbnail of Observability and the Case of Probability

Studies in Fuzziness and Soft Computing, 2002

ABSTRACT

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