A review of the relationships between implication, negation and aggregation functions from the point of view of material implication
Implication and aggregation functions play important complementary roles in the field of
fuzzy logic. Both have been intensively investigated since the early 1980s, revealing a tight …
fuzzy logic. Both have been intensively investigated since the early 1980s, revealing a tight …
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 …
Grou**, overlap, and generalized bientropic functions for fuzzy modeling of pairwise comparisons
In this paper, we propose new aggregation functions for the pairwise comparison of
alternatives in fuzzy preference modeling. More specifically, we introduce the concept of a …
alternatives in fuzzy preference modeling. More specifically, we introduce the concept of a …
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
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 …
New results on overlap and grou** functions
Overlap functions and grou** functions are special kinds of aggregation operators that
have been recently proposed for applications in classification problems, like, eg, imaging …
have been recently proposed for applications in classification problems, like, eg, imaging …
A new multi-objective decision-making method with diversified weights and Pythagorean fuzzy rough sets
J Ye, B Sun, Q Bao, C Che, Q Huang, X Chu - Computers & Industrial …, 2023 - Elsevier
In reality, there are many multi-objective decision-making problems with fuzziness and
uncertainty, such as the choice of clinical treatment schemes. To effectively cope with such …
uncertainty, such as the choice of clinical treatment schemes. To effectively cope with such …
Some properties of overlap and grou** functions and their application to image thresholding
In this paper we study under which conditions overlap and grou** functions satisfy some
commonly demanded properties such as migrativity or homogeneity. We also recall that the …
commonly demanded properties such as migrativity or homogeneity. We also recall that the …