{"title":"About methods for comparing interval alternatives of various kinds","authors":"V. Zhiyanov, G. Shepelev","doi":"10.33276/s265838870005703-6","DOIUrl":null,"url":null,"abstract":"Methods for comparing on effectiveness of alternatives with interval quality indicators (interval alternatives) are discussed in the paper. The methods, “mean – risk” method and method of collective risk estimating, are suitable for comparing alternatives of various kinds. The method of “mean – risk” allows, along with the value of the indicator of preference, to calculate the value of the risk indicator associated with the size of the losses when there is a possible error in choosing the “best” alternative, if it is studied independently of other available. The method of collective risk estimating allows assess the risk during choosing an effective alternative associated with the possibility of making a mistake if interval objects are compared with each other in their interconnect set. To estimate alternatives adequately it is advisable to consider both kinds of risk with using both of these methods. To implement this approach in the framework of the poly-interval approach, methods are proposed for calculating the indicators of both methods for poly-interval alternatives (fuzzy objects and alternatives, presented as generalized interval estimations).","PeriodicalId":242153,"journal":{"name":"Herald of CEMI","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Herald of CEMI","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33276/s265838870005703-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Methods for comparing on effectiveness of alternatives with interval quality indicators (interval alternatives) are discussed in the paper. The methods, “mean – risk” method and method of collective risk estimating, are suitable for comparing alternatives of various kinds. The method of “mean – risk” allows, along with the value of the indicator of preference, to calculate the value of the risk indicator associated with the size of the losses when there is a possible error in choosing the “best” alternative, if it is studied independently of other available. The method of collective risk estimating allows assess the risk during choosing an effective alternative associated with the possibility of making a mistake if interval objects are compared with each other in their interconnect set. To estimate alternatives adequately it is advisable to consider both kinds of risk with using both of these methods. To implement this approach in the framework of the poly-interval approach, methods are proposed for calculating the indicators of both methods for poly-interval alternatives (fuzzy objects and alternatives, presented as generalized interval estimations).