[HTML][HTML] On valuable and troubling practices in the research on classes of fuzzy implication functions
The research on fuzzy implication functions has exponentially grown in the last decades
becoming one of the main topics studied in the Fuzzy Logic community. These efforts have …
becoming one of the main topics studied in the Fuzzy Logic community. These efforts have …
An overview of construction methods of fuzzy implications
S Massanet, J Torrens - Advances in Fuzzy Implication Functions, 2013 - Springer
Fuzzy implications are useful in a wide range of applications. For these practical purposes,
different classes of implications are used. Depending on the concrete application the …
different classes of implications are used. Depending on the concrete application the …
On (G, N)-implications derived from grouping functions
Overlap and grouping functions are special kinds of non-necessarily associative
aggregation operators recently proposed for applications in classification problems involving …
aggregation operators recently proposed for applications in classification problems involving …
Fuzzy implications: past, present, and future
Fuzzy implications are a generalization of the classical two-valued implication to the multi-
valued setting. They play a very important role both in the theory and applications, as can be …
valued setting. They play a very important role both in the theory and applications, as can be …
Characterizations of Fuzzy Implications Generated by Continuous Multiplicative Generators of T-Norms
H Zhou - IEEE Transactions on Fuzzy Systems, 2020 - ieeexplore.ieee.org
In this article, we define the-generated implications by continuous multiplicative generators
of-norms, along with the research lines of Yager's-generated implications by continuous …
of-norms, along with the research lines of Yager's-generated implications by continuous …
Characterizations and Applications of Fuzzy Implications Generated by a Pair of Generators of T-Norms and the Usual Addition of Real Numbers
H Zhou - IEEE Transactions on Fuzzy Systems, 2021 - ieeexplore.ieee.org
Motivated by several problems on constructions, algebraic properties, in particular the law of
importation (LI) and the flexible ordering property (FOP), and applications in approximate …
importation (LI) and the flexible ordering property (FOP), and applications in approximate …
Some characterizations of T-power based implications
S Massanet, J Recasens, J Torrens - Fuzzy Sets and Systems, 2019 - Elsevier
Recently, the so-called family of T-power based implications was introduced. These
operators involve the use of Zadeh's quantifiers modelled by powers of t-norms in its …
operators involve the use of Zadeh's quantifiers modelled by powers of t-norms in its …
Characterization of fuzzy implication functions with a continuous natural negation satisfying the law of importation with a fixed t-norm
S Massanet, J Torrens - IEEE Transactions on Fuzzy Systems, 2016 - 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 …
applications in approximate reasoning and image processing. This property has been …
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 …
applications in approximate reasoning and image processing. This property has been …
The⊛-composition of fuzzy implications: Closures with respect to properties, powers and families
Abstract Recently, Vemuri and Jayaram proposed a novel method of generating fuzzy
implications from a given pair of fuzzy implications. Viewing this as a binary operation⊛ on …
implications from a given pair of fuzzy implications. Viewing this as a binary operation⊛ on …