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 …
[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 grouping 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 …
General interval-valued overlap functions and interval-valued overlap indices
Overlap functions are aggregation functions that express the overlapping degree between
two values. They have been used both as a conjunction in several practical problems (eg …
two values. They have been used both as a conjunction in several practical problems (eg …
Probabilistic linguistic multi-criteria decision-making based on evidential reasoning and combined ranking methods considering decision-makers' psychological …
ZP Tian, RX Nie, JQ Wang - Journal of the Operational Research …, 2020 - Taylor & Francis
This study aims to develop an integrated approach for solving probabilistic linguistic multi-
criteria decision-making (MCDM) problems. This study first reveals the limitations in the …
criteria decision-making (MCDM) problems. This study first reveals the limitations in the …
Overlap and grouping functions on complete lattices
J Qiao - Information Sciences, 2021 - Elsevier
Recently, Paiva et al. introduced the concepts of lattice-valued overlap and quasi-overlap
functions, and showed the migrativity, homogeneity and other properties of (quasi-) overlap …
functions, and showed the migrativity, homogeneity and other properties of (quasi-) overlap …
[HTML][HTML] The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions
Overlap and grouping functions are special kinds of non necessarily associative
aggregation operators proposed for many applications, mainly when the associativity …
aggregation operators proposed for many applications, mainly when the associativity …
Lattice-valued overlap and quasi-overlap functions
As an important class of aggregation operators, the notion of overlap functions was first
presented in 2009 in order to be considered for applications in image processing context …
presented in 2009 in order to be considered for applications in image processing context …
N-Dimensional Admissibly Ordered Interval-Valued Overlap Functions and Its Influence in Interval-Valued Fuzzy-Rule-Based Classification Systems
Overlap functions are a type of aggregation functions that are not required to be associative,
generally used to indicate the overlapping degree between two values. They have been …
generally used to indicate the overlapping degree between two values. They have been …
On (IO, O)-fuzzy rough sets based on overlap functions
J Qiao - International Journal of Approximate Reasoning, 2021 - Elsevier
In the last past years, as a class of continuous binary aggregation functions, there are many
scholars keeping a watchful focus on overlap functions for their widely applicability in …
scholars keeping a watchful focus on overlap functions for their widely applicability in …
Uncertainty data in interval-valued fuzzy set theory
B Pękala - Properties, Algorithms and Applications, Studies in …, 2019 - Springer
The series “Studies in Fuzziness and Soft Computing” contains publications on various
topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks …
topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks …