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 …
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 …
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 …
On residual implications derived from overlap functions
GP Dimuro, B Bedregal - Information Sciences, 2015 - Elsevier
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 …
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 …
Improving the Performance of Fuzzy Rule-Based Classification Systems Based on a Nonaveraging Generalization of CC-Integrals Named -Integrals
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 …
method (FRM) since it infers the class predicted for new examples. A crucial stage in any …
[HTML][HTML] Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions
In this work, we extend to the interval-valued setting the notion of overlap functions,
presenting a method which makes use of interval-valued overlap functions for constructing …
presenting a method which makes use of interval-valued overlap functions for constructing …