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 …
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 …
[HTML][HTML] On interval RO-and (G, O, N)-implications derived from interval overlap and grou** functions
This paper deals with two sorts of interval fuzzy implications derived from interval overlap
and grou** functions, viz., interval R O-and (G, O, N)-implications. Firstly, interval R O …
and grou** functions, viz., interval R O-and (G, O, N)-implications. Firstly, interval R O …
Weaker forms of increasingness of binary operations and their role in the characterization of meet and join operations
Due to the lack of transitivity of the pseudo-order relation of a proper trellis, its meet and join
operations are not increasing. In this paper, we identify weaker forms of increasingness of …
operations are not increasing. In this paper, we identify weaker forms of increasingness of …
On interval-valued pre-(quasi-) overlap functions
In this work, we propose the notion of interval-valued pre-(quasi-) overlap functions, called
interval-valued R-(quasi-) overlap functions. The increasingness is replaced with interval …
interval-valued R-(quasi-) overlap functions. The increasingness is replaced with interval …
From pre-(quasi-) grou** functions to directional monotonic fuzzy implications
HX Song, P Yu, H Liu - Fuzzy Sets and Systems, 2023 - Elsevier
Introducing directional monotonicity into aggregation functions is an important research
content in the research of aggregation functions. This paper aims to study the properties …
content in the research of aggregation functions. This paper aims to study the properties …
On -(Quasi-)Overlap Functions
J Qiao, Z Gong - IEEE Transactions on Fuzzy Systems, 2020 - ieeexplore.ieee.org
Overlap functions, as one kind of particular binary aggregation functions, have been
continuously studied in the literature for their vast preponderance in some real applications …
continuously studied in the literature for their vast preponderance in some real applications …
A methodology for controlling the information quality in interval-valued fusion processes: Theory and application
An important problem faced when dealing with imperfect information in fusion processes the
uncertainty regarding values of the membership degrees to be employed in fuzzy modeling …
uncertainty regarding values of the membership degrees to be employed in fuzzy modeling …
New results on directionally monotone quasi-grou** functions and their applications in classification problems
J Qiao, T Li - Expert Systems with Applications, 2023 - Elsevier
Grou** functions, as one kind of binary continuous aggregation functions, have attracted
the continuous attention of scholars since they were proposed. Meanwhile, since Lucca …
the continuous attention of scholars since they were proposed. Meanwhile, since Lucca …
[HTML][HTML] Directional monotonicity of multidimensional fusion functions with respect to admissible orders
The notion of directional monotonicity emerged as a relaxation of the monotonicity condition
of aggregation functions. As the extension of aggregation functions to fuse more complex …
of aggregation functions. As the extension of aggregation functions to fuse more complex …