UNIVERSAL CODOMAINS TO REPRESENT INTERVAL ORDERS

被引：12

作者：

Carlos Candeal, Juan ^{[2
]}

Gutierrez Garcia, Javier ^{[3
]}

Indurain, Esteban ^{[1
]}

机构：

[1] Univ Publ Navarra, Depto Matemat, Pamplona 31006, Spain

[2] Univ Zaragoza, Depto Anal Econ, Fac Ciencias Econ & Empresariales, Zaragoza 50005, Spain

[3] Univ Pais Vasco Euskal Herriko Unibertsitatea, Depto Matemat, Bilbao 48080, Spain

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2009年 / 17卷 / 02期

关键词：

Interval orders; fuzzy numbers; universal codomains; continuous representations of orderings; INTRANSITIVE INDIFFERENCE; NUMERICAL REPRESENTATIONS; PREFERENCES;

D O I：

10.1142/S0218488509005814

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Given a binary relation defined on a set, we study its representability by means of a monotonic function that takes values on a suitable universal codomain (that depends on the kind of relation considered). We pay an special attention to the representability of interval orders, studying their alternative universal codomains, some of them equivalent to the set of symmetric triangular fuzzy numbers.

引用

页码：197 / 219

页数：23

共 43 条

[11] Interval-valued representability of qualitative data:: The continuous case [J].

Bosi, Gianni ;

Jesus Campion, Maria ;

Carlos Candeal, Juan ;

Indurain, Esteban .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (03) :299-319

[12] NUMERICAL REPRESENTATION OF INTRANSITIVE PREFERENCES ON A COUNTABLE SET [J].

BRIDGES, DS .

JOURNAL OF ECONOMIC THEORY, 1983, 30 (01) :213-217

[13] Representability of binary relations through fuzzy numbers [J].

Campión, MJ ;

Candeal, JC ;

Induráin, E .

FUZZY SETS AND SYSTEMS, 2006, 157 (01) :1-19

[14]

Candeal J. C., 2004, APPL GEN TOPOL, V5, P213

[15] Lexicographic behaviour of chains [J].

Candeal, JC ;

Induráin, E .

ARCHIV DER MATHEMATIK, 1999, 72 (02) :145-152

[16] Numerical representability of semiorders [J].

Candeal, JC ;

Induráin, E ;

Zudaire, M .

MATHEMATICAL SOCIAL SCIENCES, 2002, 43 (01) :61-77

[17]

CANTOR G, 1895, MATH ANN, V481, P481

[18]

Cantor Georg., 1897, Mathematische Annalen, V49, P207

[19] CONTINUOUS REPRESENTATION OF A PREFERENCE-RELATION ON A CONNECTED TOPOLOGICAL-SPACE [J].

CHATEAUNEUF, A .

JOURNAL OF MATHEMATICAL ECONOMICS, 1987, 16 (02) :139-146

[20] THE FOUNDATIONS OF UTILITY [J].

CHIPMAN, JS .

ECONOMETRICA, 1960, 28 (02) :193-224

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