Title :
T-indistinguishability operators with respect to ordinal sums
Author :
Boixader, D. ; Recasens, J.
Author_Institution :
Sec. Mat. i Inf., Univ. Politec. de Catalunya (UPC), Barcelona, Spain
Abstract :
In this paper we study the class of T-indistinguishability operators such that the involved t-norm T is an ordinal sum. We show that those T-indistinguishability operators can be thought of as families of indistinguishabilities with respect to some Archimedean t-norms. An interpretation in terms of hierarchical clustering is provided.
Keywords :
fuzzy systems; mathematical operators; Archimedean t-norms; T-indistinguishability operators; fuzzy systems; hierarchical clustering; ordinal sums; Additives; Color; Fuzzy sets; Generators; Measurement; Probabilistic logic; Standards; Archimedean t-norm; T-indistinguishability operator; clustering; fuzzy relation; hierarchical aggregation; hierarchical clustering; ordinal sum; t-norm;
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
978-1-4673-2336-9
Electronic_ISBN :
pending
DOI :
10.1109/NAFIPS.2012.6290992