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
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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|
8th International Conference on Fuzzy Logic and Intelligent Technologies in Nuclear Science.
|Uncontrolled Keywords:||Fuzzy relations; Closures|
|Subjects:||Sciences > Mathematics > Logic, Symbolic and mathematical|
|Deposited On:||29 Oct 2012 10:59|
|Last Modified:||21 May 2015 11:34|
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