期刊文献+

直觉模糊集的距离测度 被引量:2

Distance Measure of Intuitionistic Fuzzy Sets
原文传递
导出
摘要 直觉模糊集的距离测度是两个直觉模糊集差异性大小的度量,许多学者围绕其公理化定义和具体表达公式做了大量的工作,并且被广泛应用在多属性决策、模式识别等许多方面。基于直觉模糊集距离测度的公理化定义,本文对一些学者提出的距离测度公式进行了探讨,并给出了几种一般化构造形式。 Distance measure of intuitionistic fuzzy sets is a measure of the difference between two intuitionistic fuzzy sets.Many scholars have done a lot of work on its axiomatic definition and concrete expression.It has been widely used in multi-criteria decision making,pattern recognition and many other fields.Based on the axiomatic definition of distance measure of intuitionistic fuzzy sets,formulas of distance measure proposed by some scholars are discussed and several generalized structural forms are given in this paper.
出处 《模糊系统与数学》 CSCD 北大核心 2011年第5期77-84,共8页 Fuzzy Systems and Mathematics
基金 辽宁省教育厅高等学校科学研究项目(20060377)
关键词 直觉模糊集 距离测度 相似性测度 Intuitionistic Fuzzy Sets Distance Measure Similarity Measure
  • 相关文献

参考文献19

  • 1Atanassov K. Intuitionistic fuzzy sets[C]//Sgurev V. VII ITKR's Session,Sofia, 1983. 被引量:1
  • 2Bustinee H, Buillo P. Correlation of interval-valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1995,75:237-244. 被引量:1
  • 3Liu X C. Entropy, distance measure and similarity measure of fuzzy sets and their relations[J]. Fuzzy Sets and Systems, 1992,52 : 305- 318. 被引量:1
  • 4Hong D H, Choi C H. Multicriteria fuzzy decision-making problems based on vague set theory[J]. Fuzzy Sets and Systems, 2000,114 : 103 -113. 被引量:1
  • 5Xu Z S, Chen J. An overview of distance and similarity measures of intuitionistic fuzzy sets[J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008,16 : 529 - 555. 被引量:1
  • 6Szmidt E,Kacprzuk J. Distance between intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems,2000,114:505-518. 被引量:1
  • 7Xu Z S. Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision. Making[J]. Fuzzy Optim Decis Making, 2007,6 : 109-121. 被引量:1
  • 8Liang Z Z, Shi P F. similarity measures of intuitionistie fuzzy sets[J]. Pattern Recognition Letters,2003,24: 2687-2693. 被引量:1
  • 9Wang W Q, Xin X L. Distance measure between intuitionistic fuzzy sets[J]. Pattern Recognition Letters,2005,26: 2063-2069. 被引量:1
  • 10Mitchell H B. On the Dengfeng-Chuntian similarity measure and its application to pattern recognition[J]. Pattern Recognition Letters, 2003,24:3101-3104. 被引量:1

二级参考文献22

  • 1Atanassov K.Operations over interval-valued intuitionistic fuzzy sets[J].Fuzzy Sets and :Systems, 1994,64. 159-174. 被引量:1
  • 2Mondal T,Samanta S.Topology of interval-valued inmitionistic fuzzy sets[J].Fuzzy Sets and Systems, 2001,119:483-194. 被引量:1
  • 3Liu X.Entropy distance measures and similarity measure of fuzzy sets and their relations[J].Fuzzy sets and systems,1992,72:331-348. 被引量:1
  • 4Atanassov K,Gargov G.Interval-valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems,1989,31:343-349. 被引量:1
  • 5范九伦.模糊熵理论[M].西安:西北大学出版社,1999.. 被引量:10
  • 6Zadeh L A.The concept of a linguistic variable and its application to approximate reasoning[J].Information Sciences,1975,8(3):199-249. 被引量:1
  • 7Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96. 被引量:1
  • 8Atanassov K,Gargov G.Interval valued intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1989,31(3):343-349. 被引量:1
  • 9GauWL BuehrerDJ.Vague sets[J].IEEE Trans SMC,1993,23(2):610-614. 被引量:1
  • 10Burillo P,Bustince H.Vague sets are intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1996,79(3):403-405. 被引量:1

共引文献47

同被引文献19

引证文献2

二级引证文献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