期刊文献+

三参数区间数集成算子及决策应用 被引量:1

Aggregation Operators of Three-parameters Interval Number and Applications to Decision-making
下载PDF
导出
摘要 研究了三参数区间数信息集成算子及其在决策中的应用.首先,给出了三参数区间数的有序加权CP-OWA算子、有序加权CP-OWG算子及广义有序加权CP-OWA算子和广义有序加权CP-OWG算子的概念,并初步探讨了它们的性质,推广了相关文献中的三参数区间数加权CP-OWA算子和加权CPOWG算子.然后,通过方案三参数区间数属性值的可能度得到方案属性值可能度矩阵,进而根据可能度矩阵的排序向量实现方案三参数区间数属性值的排序,并通过文中定义的三参数区间数信息集成算子进行信息集成,实现方案排序择优. Several aggregation operators of three-parameters interval numbers and their applications to decision-making were investigated.Firstly,ordered weighted CP-OWA,ordered weighted CP-OWG,generalized ordered weighted CP-OWA and generalized ordered weighted CP-OWG of three-parameters interval number were defined,their natures were studied,and weighted CP-OWA and weighted CP-OWG of three-parameters interval number in related reference were generalized.Then, the decision-making method was proposed by combined possibility degrees of three-parameters interval numbers on attribute values of alternatives with aggregation operators of three-parameters interval number defined in this paper.
作者 刘卫锋
出处 《经济数学》 2014年第4期96-101,共6页 Journal of Quantitative Economics
基金 航空科学基金资助项目(2013ZD55006) 郑州航空工业管理学院青年科研基金(2014113001)
关键词 多属性决策 三参数区间数 集成算子 可能度 multiple attribute decision-making three-parameters interval number aggregation operator possibility degree
  • 相关文献

参考文献15

二级参考文献128

共引文献231

同被引文献12

  • 1M FUJII, Y O KIM, R NAKAMOTO. A characterization of convex functions and its application to operator monotone [unc tions[j]. Banach Journal of Mathematical Analysis, 2014, 8 (2): 118--123.
  • 2T ANDO. Concavity o{ certain maps on positive dei'inite matri ces and applications to hadamard produets[j]. Linear Algebra and its Applications, 1979, 26(4):203--241.
  • 3L ZHOU, H CHEN, J LIU. Generalized multiple averagingoperators and their applications to group decision making[J]. Group Decision and Negotiation, 2013, 22(2): 331--358.
  • 4R. KADISON. A generalized Schwarz inequality and algebraic invariants for operator algebras[J]. Annals of Mathematics, 1952, 56(3) :494--503.
  • 5J BOURIN, E RICHARD. An asymmetric Kadison's inequal ity[J]. Linear Algebra and its Applications, 2010, 433 (3): 499--510.
  • 6T FURUTA. Around choi inequalities for positive linear maps [J]. Linear Algebra and its Applications, 2011, 434(1) : 14-- 17.
  • 7J YUAN, G JI. Extensions of Kadisons inequality on positive linear maps[J]. Linear Algebra and its Applications, 2012, 436(3) :747--752.
  • 8M CHOI. Some assorted inequalities for positive linear map on C* -algebras[J]. Journal of Operator Theory, 1980, 4 (2): 271--285.
  • 9R BHATIA. Positive Definite Matrices[M]. Princeton: Prin- ceton University Press, 2007.
  • 10F HENSEN, J PECARIC, I. PERIC. Jensen's operator ine- quality and its converses [J]. Mathematica Scandinavica, 2007, 100(1):61--73.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部