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A map characterizing the fuzzy points and the columns of a T-indistinguishability operator

Author
Boixader, D.; Recasens, J.
Type of activity
Journal article
Journal
International journal of uncertainty fuzziness and knowledge-based systems
Date of publication
2008-04
Volume
16
Number
2
First page
129
Last page
145
DOI
https://doi.org/10.1142/S0218488508005108 Open in new window
Repository
http://hdl.handle.net/2117/1178 Open in new window
URL
http://www.worldscientific.com/doi/abs/10.1142/S0218488508005108 Open in new window
Abstract
A new map (¿E) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ¿E is that it has the columns of E as fixed points, and thus it provides us with a new criterion to decide whether a generator is a column. Two well known maps (fE and ¿E) are also reviewed, in order to compare them with ¿E. Interesting properties of the fixed points of ¿E and ¿2 E are studied. Among others, the fixed points of ¿E (Fix(¿E)) are proved t...
Keywords
Column of a fuzzy relation, Fuzzy point, Fuzzy relation, Generator, T-indistinguishability operator, T-norm
Group of research
FM&AI - Functional Mathematical Modelling and Applications

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