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基于逼近理想点排序模糊数的方法 被引量:2

A Method for Ranking Fuzzy Numbers Based on the Approximate Ideal Points
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摘要 利用左右优势度及贴近度等概念定义正负理想点,并通过α截集的方法把模糊数变成区间数,再利用期望值把它映射到数轴上,然后求出期望均值到左右理想点的距离,最后利用其距离形成一个类似贴近度的综合排序指标,用此来对模糊数排序.实例说明该方法计算简单,能够克服现存的一些排序方法的缺陷,且便于运用在实际问题中. Under the integrated considerations about the fuzzy number expected value and the ideas point,the fuzzy numbers are mapped to the expected interval by a cut set,then the distances between the left and right expected value to the ideal positive point and negative point are calculated.At last,the synthesized index is formed for ranking fuzzy numbers.The merits of the results given here are to overcome certain shortcomings in the recent literature.The method also has very easy and simple calculations compared to other methods.Moreover,numerical examples are given to compare the proposed method with other existing ones.
作者 李健 王中兴
出处 《广西科学》 CAS 2012年第1期21-24,27,共5页 Guangxi Sciences
基金 广西自然科学基金项目(桂科自0991029)资助
关键词 模糊数 排序 理想点 期望均值 fuzzy numbers ranking ideal point expected value
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参考文献22

  • 1Cheng C H.A new approach for ranking fuzzy numbersby distance method[J].Fuzzy Sets and Systems,1998,95:307-317.
  • 2Chu T C,Tsao C T.Ranking fuzzy numbers with an areabetween the centroid piont and the original piont[J].Computers and Mathematics with Applications,2002,43:117-114.
  • 3Wang Y M,Yang J B,Xu D L,et al.On the centroids offuzzy numbers[J].Expert Systems with Applications,2006,157:919-926.
  • 4Wang Y J,Lee H.The revised method of ranking fuzzynumbers with an area between the centriod and originalpionts[J].Computers and Mathematics with Applica-tion,2008,55:2033-2042.
  • 5Lopez-Diaz M,Gil M A.The k?average value of the ex-pected value of a fuzzy random variable[J].Fuzzy Setsand Systems,1998,99:347-391.
  • 6Luhandjula M.Fuzzy random variable:a mathematicaltool for combining randomness and fuzziness[J].TheJournal of Fuzzy Mathematics,2004(12):755-764.
  • 7Dutta P,Chakraborty D,Roy A R.Continuous review in-ventory model in mixed fuzzy and stochastic environ-ment[J].Applied Mathematics and Computation,2007,188:970-980.
  • 8Abbasbandy S,Asady B.Ranking of fuzzy numbers bysign distance[J].Information Sciences,2006,176:2405-2416.
  • 9Wang Z X,Liu Y J,Fan Z P,et al.Ranking L-R fuzzynumber based on deviation degreee[J].Information Sci-ences,2009,36:2070-2077.
  • 10Chen L S,Lu H W.An approximate approach for rank-ing fuzzy numbers based on left and right dominance[J].Computers and Mathematics with Applications,2001,41:1589-1602.

二级参考文献12

  • 1R Jain.Decision making in the presence of fuzzy variables[J].IEEE Trans Systems Man Cybernet,1976,SMC-6: 698~703.
  • 2R Jain.A procedure for multiple-aspect decision making using fuzzy set [J].Internat J Systems Sci,1997,8: 1~7.
  • 3R R Yager.On choosing between fuzzy subsets[J].Kybernetes,1980,9: 151~154.
  • 4R R Yager.A procedure for ordering fuzzy sets of the unit interval[J].Inform Sci,1981,24: 143~161.
  • 5J M Adamo.Fuzzy decision trees[J].Fuzzy Sets and Systems,1980,4: 207~219.
  • 6W Chang.Ranking of fuzzy utilities with triangular membership functions[A].Proceedings of International Conference on Policy Analysis and Systems[C],1981.263~272.
  • 7L Campos,A Munoz.A subjective approach for ranking fuzzy numbers[J].Fuzzy sets and Systems,1989,29: 145~153.
  • 8K Kim,K S Park.Ranking fuzzy numbers with index of optimism[J].Fuzzy Sets and Systems,1990,35: 143~150.
  • 9T Liou,J Wang.Ranking fuzzy numbers with integral value[J].Fuzzy Sets and Systems,1992,50: 247~255.
  • 10F Choobineh,H Li.An index for ordering fuzzy numbers[J].Fuzzy Sets and Systems,1993,54: 287~294.

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