{"title":"区间数多属性决策的研究与应用","authors":"Hualong Zhao","doi":"10.1109/IUCE.2009.29","DOIUrl":null,"url":null,"abstract":"With the development of uncertain theory, fuzzy multi attribute decision making has been applicated in more and more areas. Sometimes, attribute value and attribute weight are given in the form of fuzzy numbers. This paper researches the fuzzy multi attribute decision making in which the fuzzy numbers are given in the form of interval numbers, first, the concept of interval numbers are given, then positive ideal point and negative ideal point of interval numbers are defined. This paper gives the distance between interval numbers, through computing the distance between each alternative and positive, negative ideal point of interval numbers, finds out each alternative’s closeness degree for ideal point, this paper gives a new method for fuzzy multiple attribute decision making, orders the alternatives according to closeness degree. Finally, this method is applicated in investment project chosen for new product development, through the example, the method’s validity and feasibility are verified.","PeriodicalId":153560,"journal":{"name":"2009 International Symposium on Intelligent Ubiquitous Computing and Education","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Research and Application of Interval Number Multiple Attribute Decision Making\",\"authors\":\"Hualong Zhao\",\"doi\":\"10.1109/IUCE.2009.29\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"With the development of uncertain theory, fuzzy multi attribute decision making has been applicated in more and more areas. Sometimes, attribute value and attribute weight are given in the form of fuzzy numbers. This paper researches the fuzzy multi attribute decision making in which the fuzzy numbers are given in the form of interval numbers, first, the concept of interval numbers are given, then positive ideal point and negative ideal point of interval numbers are defined. This paper gives the distance between interval numbers, through computing the distance between each alternative and positive, negative ideal point of interval numbers, finds out each alternative’s closeness degree for ideal point, this paper gives a new method for fuzzy multiple attribute decision making, orders the alternatives according to closeness degree. Finally, this method is applicated in investment project chosen for new product development, through the example, the method’s validity and feasibility are verified.\",\"PeriodicalId\":153560,\"journal\":{\"name\":\"2009 International Symposium on Intelligent Ubiquitous Computing and Education\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Symposium on Intelligent Ubiquitous Computing and Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IUCE.2009.29\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Symposium on Intelligent Ubiquitous Computing and Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IUCE.2009.29","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research and Application of Interval Number Multiple Attribute Decision Making
With the development of uncertain theory, fuzzy multi attribute decision making has been applicated in more and more areas. Sometimes, attribute value and attribute weight are given in the form of fuzzy numbers. This paper researches the fuzzy multi attribute decision making in which the fuzzy numbers are given in the form of interval numbers, first, the concept of interval numbers are given, then positive ideal point and negative ideal point of interval numbers are defined. This paper gives the distance between interval numbers, through computing the distance between each alternative and positive, negative ideal point of interval numbers, finds out each alternative’s closeness degree for ideal point, this paper gives a new method for fuzzy multiple attribute decision making, orders the alternatives according to closeness degree. Finally, this method is applicated in investment project chosen for new product development, through the example, the method’s validity and feasibility are verified.