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偏好关系的对偶性(英文) 被引量:2

Duality of preference relations
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摘要 建立了基本二元关系以及偏好关系的对偶理论.引入并讨论了二元关系之间的基本性质以及偏好关系之间的 一些性质的对偶性.建立了基本二元关系以及偏好关系的各种性质之间的蕴涵式.定义了一些新的序关系,并对各种 偏序关系所满足的基本性质给出了完整的刻划. This paper establishes the duality theory of preference relations. Dualities of basic relation properties and preference relations are introduced and discussed. Implications between basic relation properties and between preference relations are established dually in pairs. New order relations are introduced and a complete description of preference relations is given.
出处 《西南民族大学学报(自然科学版)》 CAS 2004年第6期695-701,共7页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 对偶性 偏好关系 偏序关系 刻划 二元关系 对偶理论 基本性质 定义 binary relation preference relation order relation duality
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参考文献9

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同被引文献13

  • 1Roubens M. Vincke Ph. Preference Modelling[M]. Springer-Verlag, Berlin, 1985. 被引量:1
  • 2Vincke Ph. Basic concepts of preference modeling. In Readings in Multiple Criteria Decision Aid, Bana e Costa C A (ed.)[C].Springer-Verlag, Berlin, 1990. 101-118. 被引量:1
  • 3Perny P. Roy B. The use of fuzzy outranking relations in preference modeling[J]. Fuzzy Sets and Systems, 1992, 49: 33-53. 被引量:1
  • 4Bouyssou D. Outranking relations: Do they have special properties?[J]. J, of Multi-Criteria Decision Analysis, 1996, 5:99-111. 被引量:1
  • 5Roy B. Multicriteria Methodology for Decision Aiding[M]. Kluwer, Dordrecht, 1996. 被引量:1
  • 6Fishburn P C. Utility Theory for Decision Making[M]. John Wiley & Sons, New York, 1979. 被引量:1
  • 7Roberts F S. Measurement Theory, with Applications to Decisionmaking, Utility, and tile Social Sciences[M]. Addison-Wesley,London, 1985. 被引量:1
  • 8Vansnick J C. Measurement theory and decision aid. In Readings in Multiple Criteria Decision Aid, Bana e Costa C A (ed.)[C].Springer-Verlag, Berlin, 1990, 81-100. 被引量:1
  • 9Kuratowski K, Mostowski A. Set Theory [ M ]. Warszawa : PWN-Polish Scientific Publishers, 1976. 被引量:1
  • 10Roubens M, Vincke P H. Preference Modeling[ M]. Berlin:Springer-Verlag, 1985. 被引量:1

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