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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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 |
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Additional Information: | 8th International Conference on Fuzzy Logic and Intelligent Technologies in Nuclear Science. |

Uncontrolled Keywords: | Fuzzy relations; Closures |

Subjects: | Sciences > Mathematics > Logic, Symbolic and mathematical |

ID Code: | 16912 |

Deposited On: | 29 Oct 2012 10:59 |

Last Modified: | 21 May 2015 11:34 |

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