A survey on fuzzy implication functions

M Mas, M Monserrat, J Torrens… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
One of the key operations in fuzzy logic and approximate reasoning is the fuzzy implication,
which is usually performed by a binary operator, called an implication function or, simply, an …

A survey on the existing classes of uninorms

M Mas, S Massanet, D Ruiz-Aguilera… - Journal of Intelligent & …, 2015 - content.iospress.com
This paper wants to be a compilation of the different existing classes of uninorms. From their
introduction, uninorms have been extensively studied not only as aggregation operators but …

Improving salt and pepper noise removal using a fuzzy mathematical morphology-based filter

M González-Hidalgo, S Massanet, A Mir… - Applied Soft …, 2018 - Elsevier
Noise reduction is a paramount preliminary step in many computer vision applications in
which the presence of undesired noise can distort the results. Lately, the removal of high …

Residual implications and co-implications from idempotent uninorms

D Ruiz, J Torrens - Kybernetika, 2004 - dml.cz
This paper is devoted to the study of implication (and co-implication) functions defined from
idempotent uninorms. The expression of these implications, a list of their properties, as well …

Distributivity of residual implications over conjunctive and disjunctive uninorms

D Ruiz-Aguilera, J Torrens - Fuzzy Sets and Systems, 2007 - Elsevier
This paper deals with implications defined from uninorms U by residuation through the
expressionThe main goal is to solve the functional equation derived from the distributivity …

Two types of implications derived from uninorms

M Mas, M Monserrat, J Torrens - Fuzzy Sets and Systems, 2007 - Elsevier
This work deals with two kinds of operators derived from uninorms. On the one hand, QL-
operators defined by IQ (x, y)= U′(N (x), U (x, y)) for all x, y∈[0, 1], where N is a strong …

Distributivity of strong implications over conjunctive and disjunctive uninorms

D Ruiz-Aguilera, J Torrens - Kybernetika, 2006 - dml.cz
This paper deals with implications defined from disjunctive uninorms $ U $ by the
expression $ I (x, y)= U (N (x), y) $ where $ N $ is a strong negation. The main goal is to …

A fuzzy mathematical morphology based on discrete t-norms: fundamentals and applications to image processing

M González-Hidalgo, S Massanet - Soft Computing, 2014 - Springer
In this paper, a new approach to fuzzy mathematical morphology based on discrete t-norms
is studied. The discrete t-norms that have to be used in order to preserve the most usual …

Characterization of a class of fuzzy implication functions satisfying the law of importation with respect to a fixed uninorm—part I

S Massanet, D Ruiz-Aguilera… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The law of importation is an important property of fuzzy implication functions with interesting
applications in approximate reasoning and image processing. This property has been …

L-fuzzy relational mathematical morphology based on adjoint triples

N Madrid, M Ojeda-Aciego, J Medina, I Perfilieva - Information Sciences, 2019 - Elsevier
We propose an alternative to the standard structure of L-fuzzy Mathematical Morphology
(MM) by, on the one hand, considering L-fuzzy relations as structuring elements and, on the …