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Convolution lattices
(Elsevier, 2018)
Artículo / Artikulua,
We propose two convolution operations on the set of functions between two bounded lattices and investigate the algebraic structure they constitute, in particular the lattice laws they satisfy. Each of these laws requires ...
Pseudo overlap functions, fuzzy implications and pseudo grouping functions with applications
(MDPI, 2022)
Artículo / Artikulua,
Overlap and grouping functions are important aggregation operators, especially in information fusion, classification and decision-making problems. However, when we do more in-depth application research (for example, ...
A framework for generalized monotonicity of fusion functions
(Elsevier, 2023)
Artículo / Artikulua,
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of ...
A historical account of types of fuzzy sets and their relationships
(IEEE, 2016)
info:eu-repo/semantics/article,
In this work we review the definition and basic
properties of the different types of fuzzy sets that have appeared
up to now in the literature. We also analyze the relationships
between them and enumerate some of the ...
Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: towards a wider view on their relationship
(IEEE, 2015)
info:eu-repo/semantics/article,
In this paper, we will present a wider view on the
relationship between interval-valued fuzzy sets and interval type-
2 fuzzy sets where we will show that interval-valued fuzzy sets
are a particular case of the interval ...
Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
(IEEE, 2016)
info:eu-repo/semantics/article,
In this paper we will present two theorems for the
join and meet operations for general type-2 fuzzy sets with
arbitrary secondary memberships, which can be non-convex
and/or non-normal type-1 fuzzy sets. These results ...
Improving the performance of fuzzy rule-based classification systems based on a nonaveraging generalization of CC-integrals named C-F1F2-integrals
(IEEE, 2019)
info:eu-repo/semantics/article,
A key component of fuzzy rule-based classification systems (FRBCS) is the fuzzy reasoning method (FRM) since it infers the class predicted for new examples. A crucial stage in any FRM is the way in which the information ...
Aggregation functions to combine RGB color channels in stereo matching
(Optical Society of America, 2013)
Artículo / Artikulua,
In this paper we present a comparison study between different
aggregation functions for the combination of RGB color channels in stereo
matching problem. We introduce color information from images to the
stereo matching ...
Strong negations and restricted equivalence functions revisited: an analytical and topological approach
(Elsevier, 2021)
info:eu-repo/semantics/article,
Throughout this paper, our main idea is to analyze the concepts of a strong negation and a restricted equivalence function, that appear in a natural way when dealing with theory and applications of fuzzy sets and fuzzy ...
A generalization of the Choquet integral defined in terms of the Mobius transform
(IEEE, 2020)
info:eu-repo/semantics/article,
In this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral ...