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Computing a T-transitive opening of a proximity

Garmendia, L. and Salvador , A and Montero de Juan, Francisco Javier (2008) Computing a T-transitive opening of a proximity. In Computational intelligence in decision and control : proceedings of the 8th International FLINS Conference. World Scientific, Singapore , pp. 157-162. ISBN 978-981-279-946-3

Official URL: http://eproceedings.worldscinet.com/9789812799470/9789812799470_0026.html

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Abstract

A fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation is given for any left-continuous t-norm, taking O(n(3)) time complexity, where n is the number of elements in the universe. It is proved that the computed fuzzy relation is a T-transitive opening when T is the minimum t-norm or a strictly growing t-norm. As far as we know, this is the first known algorithm that computes T-transitive openings preserving the reflexive and symmetric properties.

Item Type:Book Section
Additional Information:8th International Conference on Fuzzy Logic and Intelligent Technologies in Nuclear Science. Madrid, Spain, 21-24 September 2008
Uncontrolled Keywords:Fuzzy relations; Closures
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:16912
Deposited On:29 Oct 2012 10:59
Last Modified:29 Oct 2012 10:59

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