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 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 …
General interval-valued overlap functions and interval-valued overlap indices
Overlap functions are aggregation functions that express the overlap** 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 grou** 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 grou** functions
Overlap and grou** 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 overlap** degree between two values. They have been …
generally used to indicate the overlap** 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 kee** a watchful focus on overlap functions for their widely applicability in …
scholars kee** 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 …