Overlap functions

H Bustince, J Fernandez, R Mesiar, J Montero… - … : Theory, Methods & …, 2010 - Elsevier
In this paper we address a key issue in scenario classification, where classifying concepts
show a natural overlapping. In fact, overlapping needs to be evaluated whenever classes …

New results on overlap and grouping functions

B Bedregal, GP Dimuro, H Bustince, E Barrenechea - Information Sciences, 2013 - Elsevier
Overlap functions and grouping functions are special kinds of aggregation operators that
have been recently proposed for applications in classification problems, like, eg, imaging …

[HTML][HTML] QL-operations and QL-implication functions constructed from tuples (O, G, N) and the generation of fuzzy subsethood and entropy measures

GP Dimuro, B Bedregal, H Bustince, A Jurio… - International Journal of …, 2017 - Elsevier
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 …

[HTML][HTML] The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions

GP Dimuro, B Bedregal, J Fernandez… - International Journal of …, 2019 - Elsevier
Overlap and grouping functions are special kinds of non necessarily associative
aggregation operators proposed for many applications, mainly when the associativity …

Fuzzy Subsethood for Fuzzy Sets of Type-2 and Generalized Type-

JT Rickard, J Aisbett, G Gibbon - IEEE Transactions on Fuzzy …, 2008 - ieeexplore.ieee.org
In this paper, we use Zadeh's extension principle to extend Kosko's definition of the fuzzy
subsethood measure S (G, H) to type-2 fuzzy sets defined on any set X equipped with a …

Ordered directionally monotone functions: Justification and application

H Bustince, E Barrenechea… - … on Fuzzy Systems, 2017 - ieeexplore.ieee.org
In this paper, we introduce the notion of ordered directionally monotone function as a type of
function which allows monotonicity along different directions in different points. In particular …

Overlap index, overlap functions and migrativity

H Bustince, J Fernández, R Mesiar, J Montero… - 2009 - docta.ucm.es
In this work we study overlap degrees expressed in terms of overlap functions. We present
the basic properties that from our point of view must satisfy these overlap functions. We study …

Capacities and overlap indexes with an application in fuzzy rule-based classification systems

D Paternain, H Bustince, M Pagola, P Sussner… - Fuzzy Sets and …, 2016 - Elsevier
In this work, we introduce a method for constructing capacities using overlap indexes
between the fuzzy sets which are generated from the inputs of the considered problem. We …

Forest fire detection: A fuzzy system approach based on overlap indices

S Garcia-Jimenez, A Jurio, M Pagola, L De Miguel… - Applied Soft …, 2017 - Elsevier
It is well known that a powerful method to tackle diverse problems with lack of knowledge
and/or uncertainty are Fuzzy Logic Systems (FLSs). In the literature, there exist different …

A proposal for tuning the parameter in -integrals for application in fuzzy rule-based classification systems

G Lucca, JA Sanz, GP Dimuro, B Bedregal… - Natural Computing, 2020 - Springer
In this paper, we consider the concept of extended Choquet integral generalized by a
copula, called CC-integral. In particular, we adopt a CC-integral that uses a copula defined …