2026-07-31T10:19:00Zhttps://docta.ucm.es/rest/oai/request

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 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 2023-06-20T13:38:30Z 2008-09 book part https://hdl.handle.net/20.500.14352/53160 XXXX-XXXX 10.1142/9789812799470_0026 eng 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) restricted access World Scientific