Title
-generable indistinguishability operators and their use for feature selection and classification.
Abstract
T-generable indistinguishability operators are operators E that can be expressed in the form E=T(Eμ1,Eμ2,...,Eμm), where T is a t-norm and Eμ is the fuzzy relation generated by the fuzzy subset μ. In this paper we analyse their relation with powers with respect to the t-norm T and with quasi-arithmetic means. For non-strict continuous Archimedean t-norms they are completely characterised as generable by crisp equivalence relations. These fuzzy relations are used to define a method, called JADE, useful for feature selection and classification tasks. JADE is based on minimising the distance between two indistinguishability measures: the one given by weighting the attribute-values describing the domain objects and the other one given by the correct classification taken as an equivalence relation. The preliminary experiments we carried out with JADE are promising concerning the accuracy in solving classification tasks. We also report some issues of the method that could be improved in the future.
Year
DOI
Venue
2019
10.1016/j.fss.2018.03.001
Fuzzy Sets and Systems
Keywords
DocType
Volume
T-generable indistinguishability operator,Similarity relation,Quasi-arithmetic mean,Feature selection,Classification
Journal
360
ISSN
Citations 
PageRank 
0165-0114
0
0.34
References 
Authors
8
4
Name
Order
Citations
PageRank
Eva Armengol131532.24
Dionís Boixader242.61
Àngel García-Cerdaña37110.05
Jordi Recasens411431.61