{"title":"多准则决策任务中聚合次序的优化方法","authors":"Josef Jablonský","doi":"10.24132/JBT.2020.10.3.57_63","DOIUrl":null,"url":null,"abstract":"There are many different methods for analysis of multiple criteria decision-making problems. Considering the problems for evaluation of alternatives, a typical situation is that the application of various methods leads to different results, i.e. each method generates different ranking of alternatives. A similar situation occurs in case a certain number of individual decision-makers participates in the analysis of a problem. The paper contains a proposal of optimization procedures that aggregates several individual rankings into one final ranking. As a result, the decision-maker obtains an aggregated ranking that is based either on the minimization of the weighted sum of deviations of individual rankings from the final ranking or on the minimization of the maximum deviation over all individual rankings. The applicability of the procedures is illustrated on a simple numerical example.","PeriodicalId":30792,"journal":{"name":"Trendy v podnikani","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimalizační procedura pro agregaci pořadí v úlohách vícekriteriálního rozhodování\",\"authors\":\"Josef Jablonský\",\"doi\":\"10.24132/JBT.2020.10.3.57_63\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"There are many different methods for analysis of multiple criteria decision-making problems. Considering the problems for evaluation of alternatives, a typical situation is that the application of various methods leads to different results, i.e. each method generates different ranking of alternatives. A similar situation occurs in case a certain number of individual decision-makers participates in the analysis of a problem. The paper contains a proposal of optimization procedures that aggregates several individual rankings into one final ranking. As a result, the decision-maker obtains an aggregated ranking that is based either on the minimization of the weighted sum of deviations of individual rankings from the final ranking or on the minimization of the maximum deviation over all individual rankings. The applicability of the procedures is illustrated on a simple numerical example.\",\"PeriodicalId\":30792,\"journal\":{\"name\":\"Trendy v podnikani\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Trendy v podnikani\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24132/JBT.2020.10.3.57_63\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Trendy v podnikani","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24132/JBT.2020.10.3.57_63","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimalizační procedura pro agregaci pořadí v úlohách vícekriteriálního rozhodování
There are many different methods for analysis of multiple criteria decision-making problems. Considering the problems for evaluation of alternatives, a typical situation is that the application of various methods leads to different results, i.e. each method generates different ranking of alternatives. A similar situation occurs in case a certain number of individual decision-makers participates in the analysis of a problem. The paper contains a proposal of optimization procedures that aggregates several individual rankings into one final ranking. As a result, the decision-maker obtains an aggregated ranking that is based either on the minimization of the weighted sum of deviations of individual rankings from the final ranking or on the minimization of the maximum deviation over all individual rankings. The applicability of the procedures is illustrated on a simple numerical example.