{"title":"从区间两两比较矩阵求优先向量的直接解","authors":"Kuo-Ping Chiao","doi":"10.1109/NAFIPS.2010.5548206","DOIUrl":null,"url":null,"abstract":"A direct solution based on graphical method([9]) for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.","PeriodicalId":394892,"journal":{"name":"2010 Annual Meeting of the North American Fuzzy Information Processing Society","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A direct solution for obtaining a priority vector from interval pairwise comparison matrix\",\"authors\":\"Kuo-Ping Chiao\",\"doi\":\"10.1109/NAFIPS.2010.5548206\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A direct solution based on graphical method([9]) for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.\",\"PeriodicalId\":394892,\"journal\":{\"name\":\"2010 Annual Meeting of the North American Fuzzy Information Processing Society\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Annual Meeting of the North American Fuzzy Information Processing Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NAFIPS.2010.5548206\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Annual Meeting of the North American Fuzzy Information Processing Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2010.5548206","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A direct solution for obtaining a priority vector from interval pairwise comparison matrix
A direct solution based on graphical method([9]) for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.