by J. Orozco, L. Belanche
Abstract:
Similarity and dissimilarity are widely used concepts. One of the most studied matters is their combination or aggregation. However, transitivity property is often ignored when aggregating despite being a highly important property, studied by many authors but from different points of view. We collect here some results in preserving transitivity when aggregating, intending to clarify the relationship between aggregation and transitivity and making it useful to design aggregation operators that keep transitivity property. Some examples of the utility of the results are also shown.
Reference:
On aggregation operators of transitive similarity and dissimilarity relations (J. Orozco, L. Belanche), In IEEE International Conference on Fuzzy Systems, IEEE, volume 3, 2004.
Bibtex Entry:
@inproceedings{Orozco,
abstract = {Similarity and dissimilarity are widely used concepts. One of the most studied matters is their combination or aggregation. However, transitivity property is often ignored when aggregating despite being a highly important property, studied by many authors but from different points of view. We collect here some results in preserving transitivity when aggregating, intending to clarify the relationship between aggregation and transitivity and making it useful to design aggregation operators that keep transitivity property. Some examples of the utility of the results are also shown.},
author = {Orozco, J. and Belanche, L.},
booktitle = {IEEE International Conference on Fuzzy Systems},
doi = {10.1109/FUZZY.2004.1375370},
isbn = {0-7803-8353-2},
issn = {1098-7584},
keywords = {Application software,Artificial intelligence,SML-LIB-BIBLIO,aggregation operators,dissimilarity relation,generalisation (artificial intelligence),lang:ENG,transitive similarity relation},
language = {English},
mendeley-tags = {SML-LIB-BIBLIO,lang:ENG},
pages = {1373--1377},
publisher = {IEEE},
title = {{On aggregation operators of transitive similarity and dissimilarity relations}},
url = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=1375370' escapeXml='false'/>},
volume = {3},
year = {2004}
}