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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 ...
Discrete IV dG-Choquet integrals with respect to admissible orders
(Elsevier, 2021)
info:eu-repo/semantics/article,
In this work, we introduce the notion of dG-Choquet integral, which generalizes the discrete Choquet integral replacing, in the first place, the difference between inputs represented by closed subintervals of the unit ...
Aggregation of individual rankings through fusion functions: criticism and optimality analysis
(IEEE, 2020)
info:eu-repo/semantics/article,
Throughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract ...
Sugeno integral generalization applied to improve adaptive image binarization
(Elsevier, 2021)
info:eu-repo/semantics/article,
Classic adaptive binarization methodologies threshold pixels intensity with respect to adjacent pixels exploiting integral images. In turn, integral images are generally computed optimally by using the summed-area-table ...
A fusion method for multi-valued data
(Elsevier, 2021)
info:eu-repo/semantics/article,
In this paper we propose an extension of the notion of deviation-based aggregation function tailored to aggregate multidimensional data. Our objective is both to improve the results obtained by other methods that try to ...
The evolution of the notion of overlap functions
(Springer, 2021)
info:eu-repo/semantics/bookPart,
In this chapter we make a review of the notion of overlap function. Although originally developed in order to determine up to what extent a given element belongs to two sets, overlap functions have widely developed in the ...
General grouping functions
(Springer, 2020)
info:eu-repo/semantics/conferenceObject,
Some aggregation functions that are not necessarily associative, namely overlap and grouping functions, have called the attention of many researchers in the recent past. This is probably due to the fact that they are a ...
Dissimilarity based choquet integrals
(Springer, 2020)
info:eu-repo/semantics/conferenceObject,
In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For ...
From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
(IEEE, 2023)
Artículo / Artikulua,
Restricted equivalence functions are well-known
functions to compare two numbers in the interval between 0
and 1. Despite the numerous works studying the properties of
restricted equivalence functions and their multiple ...
On some classes of nullnorms and h-pseudo homogeneity
(Elsevier, 2022)
Artículo / Artikulua,
Nullnorms are aggregation functions which generalize t-norms and t-conorms. For each nullnorm there exists an annihilator
element such that, below it, the function behaves like a t-conorm, and, above it, like a t-norm. ...