title: |
Transitive Openings |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 493 - 497 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
D. Boixader1, J. Recasens |
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publication date: |
July 2011 |
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keywords: |
Similarity, Indistinguishability Operator, Finite-Valued t-norm, Transitive Closure, Transitive Opening |
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abstract: |
Though the transitive closure of a reflexive and symmetric fuzzy relation R is unique and there are several algorithms to calculate it, there can be many
transitive openings (maximal T-indistinguishability
operators among the ones smaller than or equal to
R). This paper presents a method to calculate transitive openings of a reflexive and symmetric fuzzy
relation R. It is worth noticing that apart form the
minimum t-norm, this is the first algorithm that allows us to calculate them. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |