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
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 11:59 |
| Last Modified: | 29 Oct 2012 11:59 |
Repository Staff Only: item control page
