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The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions
In 2013, Barrenechea et al. used the Choquet integral as an aggregation function in the
fuzzy reasoning method (FRM) of fuzzy rule-based classification systems. After that, starting …
fuzzy reasoning method (FRM) of fuzzy rule-based classification systems. After that, starting …
Preaggregation functions: Construction and an application
In this paper, we introduce the notion of preaggregation function. Such a function satisfies
the same boundary conditions as an aggregation function, but, instead of requiring …
the same boundary conditions as an aggregation function, but, instead of requiring …
CF-integrals: A new family of pre-aggregation functions with application to fuzzy rule-based classification systems
This paper introduces the family of C F-integrals, which are pre-aggregations functions that
generalizes the Choquet integral considering a bivariate function F that is left 0-absorbent …
generalizes the Choquet integral considering a bivariate function F that is left 0-absorbent …
CC-integrals: Choquet-like copula-based aggregation functions and its application in fuzzy rule-based classification systems
This paper introduces the concept of Choquet-like Copula-based aggregation function (CC-
integral) and its application in fuzzy rule-based classification systems. The standard …
integral) and its application in fuzzy rule-based classification systems. The standard …
On residual implications derived from overlap functions
Overlap functions are aggregation operators specially introduced to be used in applications
involving the overlap problem and/or when the associativity property is not strongly required …
involving the overlap problem and/or when the associativity property is not strongly required …
General overlap functions
As a generalization of bivariate overlap functions, which measure the degree of overlap**
(intersection for non-crisp sets) of n different classes, in this paper we introduce the concept …
(intersection for non-crisp sets) of n different classes, in this paper we introduce the concept …
[HTML][HTML] QL-operations and QL-implication functions constructed from tuples (O, G, N) and the generation of fuzzy subsethood and entropy measures
Considering the important role played by overlap and grou** functions in several
applications in which associativity is not demanded, in this paper we introduce the notion of …
applications in which associativity is not demanded, in this paper we introduce the notion of …
Variable precision fuzzy rough sets based on overlap functions with application to tumor classification
X Zhang, Q Ou, J Wang - Information Sciences, 2024 - Elsevier
Overlap functions, which can be characterized as a type of non-associative binary
aggregation operators, have emerged as one of the most extensively utilized aggregation …
aggregation operators, have emerged as one of the most extensively utilized aggregation …
The aggregation of Z-numbers based on overlap functions and grou** functions and its application on group decision-making
In this paper, we propose a series of novel aggregation techniques based on overlap and
grou** functions for group decision-making (GDM) issues in the Z-number environment …
grou** functions for group decision-making (GDM) issues in the Z-number environment …
On additive generators of overlap functions
In this paper we introduce the notion of additive generator pair for overlap functions. We also
study how some of the properties that can be demanded to an overlap function can be …
study how some of the properties that can be demanded to an overlap function can be …