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oai:docta.ucm.es:20.500.14352/531602024-11-26T15:19:15Zcom_20.500.14352_14col_20.500.14352_21

Computing a T-transitive opening of a proximity Garmendia Salvador, Luis Salvador Alcaide, Adela Montero De Juan, Francisco Javier Ruan, Da Montero De Juan, Francisco Javier 8th International Conference on Fuzzy Logic and Intelligent Technologies in Nuclear Science. Madrid, Spain, 21-24 September 2008 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. 2023-06-20T13:38:30Z 2023-06-20T13:38:30Z 2008-09 book part Garmendia, L., Salvador, A., Montero, J.: COMPUTING A T-TRANSITIVE OPENING OF A PROXIMITY. En: Computational Intelligence in Decision and Control. pp. 157-162. WORLD SCIENTIFIC, Madrid, Spain (2008) 978-981-279-946-3 10.1142/9789812799470_0026 https://hdl.handle.net/20.500.14352/53160 https//doi.org/10.1142/9789812799470_0026 http://eproceedings.worldscinet.com/9789812799470/9789812799470_0026.html eng restricted access World Scientific