{"title":"三角模糊数互补判断矩阵的一种新的优先级方法","authors":"Xue-lan Zeng, F. Meng, Meihua Chen","doi":"10.1109/ICNC.2007.102","DOIUrl":null,"url":null,"abstract":"In this paper, firstly, the existing problems of the solution of weight vector of triangular fuzzy number complementary judgment matrix, which are proposed by Xu (2004) and Gu (2006), are discussed. Secondly, on the basis of the consistency definition for triangular fuzzy number complementary judgment matrix (TFNCJM) proposed by Gu (2006), a consistency sufficient condition of TFNCJM is proposed, and a linear goal programming of TFNCJM is established. Then the weight vector of TFNCJM is obtained by solving the model. Thirdly, the paper gives a new priority formula for triangular fuzzy number, and the priority of alternatives are obtained by using the formula. Finally, a numerical example is given to show their feasibility and effectiveness.","PeriodicalId":250881,"journal":{"name":"Third International Conference on Natural Computation (ICNC 2007)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"A New Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix\",\"authors\":\"Xue-lan Zeng, F. Meng, Meihua Chen\",\"doi\":\"10.1109/ICNC.2007.102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, firstly, the existing problems of the solution of weight vector of triangular fuzzy number complementary judgment matrix, which are proposed by Xu (2004) and Gu (2006), are discussed. Secondly, on the basis of the consistency definition for triangular fuzzy number complementary judgment matrix (TFNCJM) proposed by Gu (2006), a consistency sufficient condition of TFNCJM is proposed, and a linear goal programming of TFNCJM is established. Then the weight vector of TFNCJM is obtained by solving the model. Thirdly, the paper gives a new priority formula for triangular fuzzy number, and the priority of alternatives are obtained by using the formula. Finally, a numerical example is given to show their feasibility and effectiveness.\",\"PeriodicalId\":250881,\"journal\":{\"name\":\"Third International Conference on Natural Computation (ICNC 2007)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Third International Conference on Natural Computation (ICNC 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2007.102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Third International Conference on Natural Computation (ICNC 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2007.102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix
In this paper, firstly, the existing problems of the solution of weight vector of triangular fuzzy number complementary judgment matrix, which are proposed by Xu (2004) and Gu (2006), are discussed. Secondly, on the basis of the consistency definition for triangular fuzzy number complementary judgment matrix (TFNCJM) proposed by Gu (2006), a consistency sufficient condition of TFNCJM is proposed, and a linear goal programming of TFNCJM is established. Then the weight vector of TFNCJM is obtained by solving the model. Thirdly, the paper gives a new priority formula for triangular fuzzy number, and the priority of alternatives are obtained by using the formula. Finally, a numerical example is given to show their feasibility and effectiveness.
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