Representability of binary relations through fuzzy numbers

Maria J. Campion; Juan C. Candeal; Esteban Indurain

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Representability of binary relations through fuzzy numbers

机译：通过模糊数表示二进制关系

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摘要

We analyse the representability of different classes of binary relations on a set by means of suitable fuzzy numbers. In particular, we show that symmetric triangular fuzzy numbers can be considered as the best codomain to represent interval orders. We also pay attention to the representability of other classes of acyclic binary relations.

机译：我们通过适当的模糊数来分析一组不同类别的二元关系的可表示性。特别是，我们表明对称三角模糊数可以被视为代表区间阶数的最佳共域。我们还注意其他类非循环二进制关系的可表示性。

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来源
《Fuzzy sets and systems》 |2006年第1期|p.1-19|共19页
作者
Maria J. Campion; Juan C. Candeal; Esteban Indurain;
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作者单位

Departamento de Matematlca e Informatica, Universidad Publica de Navarra, Campus Arrosadia, E-31006 Pamplona, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
fuzzy numbers; preference modelling; decision analysis;

机译：模糊数偏好模型决策分析;

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机译：三元关系与二元模糊关系的相容性
2. On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation [J] . Barkat Omar, Zedam Lemnaouar, De Baets Bernard International journal of uncertainty, fuzziness and knowledge-based systems . 2019,第4期

机译：关于与二进制模糊关系的三元关系的兼容性
3. The mathematics of xenology: di-cographs, symbolic ultrametrics, 2-structures and tree-representable systems of binary relations [J] . Hellmuth Marc, Stadler Peter F., Wieseke Nicolas Journal of Mathematical Biology . 2017,第1期

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4. Representing Relative Direction as a Binary Relation of Oriented Points [C] . Reinhard Moratz, IOS Press European Conference on Artificial Intelligence . 2006

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5. Equation of state composition dependence: I. Implications from experimental binary PVTx data. II. Application of hybrid composition dependence for representing vapor-liquid equilibria of nonideal mixtures. [D] . Khan, Muhammad Alauddin. 1989

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7. An Efficient Algorithm to Count the Relations in a Range of Binary Relations Represented by a k²-Tree [O] . Martita Munoz Candia, Gilberto Gutierrez Retamal, Rodrigo Torres-Aviles 2021

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8. Imer-product array processor for retrieval of stored images represented by bipolar binary (1,-1) pixels using partial input trinary pixels represented by (1,-1) [R] . 1993

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Representability of binary relations through fuzzy numbers

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