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模糊全序及偏序结构 被引量：4

Fuzzy Total Order and Partial Order Structures
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摘要 以Fodor等人对模糊偏好构模的公理化方法的一个特例为基础,给出了模糊全序以及偏序结构的定义,并详细讨论了两个结构的性质。 In this paper, based on one special case of Fodor＇s axiomatic method for fuzzy preference modeling, definitions of fuzzy total order and fuzzy partial order structures, are presented; and properties of fuzzy total order and partial order structures are discussed in detail.
作者 宋雪丽 王绪柱
机构地区 西安科技大学基础部 太原理工大学数学系
出处 《模糊系统与数学》 CSCD 北大核心 2006年第3期47-53,共7页 Fuzzy Systems and Mathematics
基金 山西省青年科技研究基金资助项目(20031010)
关键词 模糊关系 模糊偏好结构 模糊全序结构 模糊偏序结构 Fuzzy Relation Fuzzy Preference Structure Fuzzy Total Order Structure Fuzzy Partial Order Structure
分类号 O159.43 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Roubens M,Vincke Ph.Preference modeling[M].Berlin:Springer-Verlag,1985.
  • 2Orlovsky S A.Decision-making with a fuzzy preference relation[J].Fuzzy Sets and Systems,1978,1:155～167.
  • 3Fodor J C.An axiomatic approach to fuzzy preference modeling[J].Fuzzy Sets and Systems,1992,52:47～52.
  • 4Fodor J C,Roubens M.Fuzzy preference modeling and multicriteria decision support[M].Dordrecht/Boston/London:Kluwer Academic Publishers,1994.
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  • 6De Baets B,Van de Walle B.Weak and strong fuzzy interval orders[J].Fuzzy Sets and Systems,1996,70:31～43.
  • 7Bufardi A.An alternative definition for fuzzy interval orders[J].Fuzzy Sets and Systems,2003,133:249～259.
  • 8宋雪丽,王绪柱.模糊全半序结构[J].模糊系统与数学,2004,18(2):8-14. 被引量：7
  • 9王绪柱,宋雪丽.模糊全区间序结构[J].数学杂志,2005,25(3):320-326. 被引量：5
  • 10Bufardi A.On the construction of fuzzy preference structures[J].J.Multi-Crit.Decis.Anal,1998,7:169～175.

二级参考文献19

  • 1Fodor J, Roubens M. Fuzzy preference modeling and multicriteria decision support[M]. Dordrecht/Boston/London: Kluwer Academic Publishers, 1994.
  • 2De Baets B, Van de Walle B,Kerre E. Fuzzy preference structures without incomparability[J]. Fuzzy Sets and Systems, 1995,76: 333～348.
  • 3Ovchinnikov S.Modeling valued preference relations[A]. Kacprzyk J,Fedrizzi M.Multiperson decision making using fuzzy set and possibility theory[C]. Dordrecht/Boston/London:Kluwer Academic Publishers,1990:64～70.
  • 4Roubens M, Vincke Ph. Preference modeling[M]. Berlin:Springer-Verlag,1985.
  • 5De Baets B, Van de Walle B. Weak and strong fuzzy interval orders[J]. Fuzzy Sets and Systems, 1996; 70: 31～43.
  • 6Orlovsky S A.Decision-making with a fuzzy preference relation[J].Fuzzy Sets and Systems,1978;1:155～167.
  • 7Ovchinnikov S V. Structure of fuzzy binary relations[J]. Fuzzy Sets and Systems,1981,6:169～195.
  • 8Ovchinnikov S, Roubens M. On strict preference relations[J]. Fuzzy Sets and Systems, 1991;43: 319～326.
  • 9Ovchinnikov S. On fuzzy strict preference, indifference, and incomparability relations[J]. Fuzzy Sets and Systems, 1992; 49: 15～20.
  • 10Fodor J C. An axiomatic approach to fuzzy preference modeling[J]. Fuzzy Sets and Systems, 1992; 52: 47～52.

共引文献8

同被引文献50

  • 1张金清.不完全偏好下的极大元定理及其应用[J].复旦学报（自然科学版）,2005,44(3):343-346. 被引量：5
  • 2王绪柱,宋雪丽.模糊全区间序结构[J].数学杂志,2005,25(3):320-326. 被引量：5
  • 3Baczyski M, Jayaram B. Fuzzy implications[M]. Berlin/Heidelberg:Springer-Verlag,2008.
  • 4Bandler W, Kohout L. Fuzzy power sets and fuzzy implication operators[J]. Fuzzy Sets and Systems, 1980,4:13- 30.
  • 5Georgescu I. Fuzzy choicefFunctions[M]. Berlin/Heidelberg..Springer-Verlag,2007.
  • 6Bufardi A. On the construction of fuzzy preference structures[J].Journal of Multi-criteria Decision and Analysis, 1998, 7:169-175.
  • 7Bolohldvek R. Fuzzy relational systems, foundations and principles [M]. New York/Boston/Dordrecht/London/ Moscow : Kluwer Academic/Plenum Publishers, 2002.
  • 8Wang X, Cao X, Wu C, Chen J. Indicators of fuzzy relations[J]. Fuzzy Sets and Systems, 2013 , 216 : 91-107.
  • 9Diaz S, De Baets B, Montes S. On the Ferrers property of valued interval orders[J]. Top,2011,19:421-447.
  • 10De Baets B, Van de Walle B. Weak and strong fuzzy interval orders[J]. Fuzzy Sets and Systems, 1996,79..213- 225.

引证文献4

二级引证文献4

模糊系统与数学
2006年 第3期

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