{"title":"一种新的M-TOPSIS方法与TOPSIS方法的比较分析","authors":"L. Ren, Yanqiong Zhang, Yiren Wang, Zhen-qiu Sun","doi":"10.1093/AMRX/ABM005","DOIUrl":null,"url":null,"abstract":"In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D D-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the MTOPSIS method is simple in both concept and calculation procedures.","PeriodicalId":89656,"journal":{"name":"Applied mathematics research express : AMRX","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2010-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"126","resultStr":"{\"title\":\"Comparative Analysis of a Novel M-TOPSIS Method and TOPSIS\",\"authors\":\"L. Ren, Yanqiong Zhang, Yiren Wang, Zhen-qiu Sun\",\"doi\":\"10.1093/AMRX/ABM005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D D-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the MTOPSIS method is simple in both concept and calculation procedures.\",\"PeriodicalId\":89656,\"journal\":{\"name\":\"Applied mathematics research express : AMRX\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"126\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied mathematics research express : AMRX\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/AMRX/ABM005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied mathematics research express : AMRX","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/AMRX/ABM005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparative Analysis of a Novel M-TOPSIS Method and TOPSIS
In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D D-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more reasonable. Furthermore, the MTOPSIS method is simple in both concept and calculation procedures.