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Characterization of unidimensional averaged similarities

Author
Boixader, D.; Recasens, J.
Type of activity
Journal article
Journal
Journal of applied logic
Date of publication
2017-09-01
Volume
23
First page
16
Last page
26
DOI
https://doi.org/10.1016/j.jal.2016.11.003 Open in new window
Repository
http://hdl.handle.net/2117/116569 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S157086831630057X?via%3Dihub Open in new window
Abstract
A T-indistinguishability operator (or fuzzy similarity relation) E is called unidimensional when it may be obtained from one single fuzzy subset (or fuzzy criterion). In this paper, we study when a T-indistinguishability operator that has been obtained as an average of many unidimensional ones is unidimensional too. In this case, the single fuzzy subset used to generate E is explicitly obtained as the quasi-arithmetic mean of all the fuzzy criteria primarily involved in the construction of E.
Citation
Boixader, D., Recasens, J. Characterization of unidimensional averaged similarities. "Journal of applied logic", 1 Setembre 2017, vol. 23, p. 16-26.
Keywords
Generator, Indistinguishability operator, Quasi-arithmetic mean, Representation theorem

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