{"title":"语言信息聚合的调和平均算子","authors":"Zeshui Xu","doi":"10.1109/ICNC.2008.887","DOIUrl":null,"url":null,"abstract":"Harmonic mean is widely used to aggregate central tendency data, which is usually expressed in exact numerical values. In this paper, we investigate the situations where the input data are given in the form of linguistic labels, and develop some linguistic harmonic mean aggregation operators, such as the linguistic weighted harmonic mean (LWHM) operator, the linguistic ordered weighted harmonic mean (LOWHM) operator, and the linguistic hybrid harmonic mean (LHHM) operator for aggregating linguistic information. Some examples are given to illustrate the developed operators.","PeriodicalId":6404,"journal":{"name":"2008 Fourth International Conference on Natural Computation","volume":"37 1","pages":"204-208"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Harmonic Mean Operators for Aggregating Linguistic Information\",\"authors\":\"Zeshui Xu\",\"doi\":\"10.1109/ICNC.2008.887\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Harmonic mean is widely used to aggregate central tendency data, which is usually expressed in exact numerical values. In this paper, we investigate the situations where the input data are given in the form of linguistic labels, and develop some linguistic harmonic mean aggregation operators, such as the linguistic weighted harmonic mean (LWHM) operator, the linguistic ordered weighted harmonic mean (LOWHM) operator, and the linguistic hybrid harmonic mean (LHHM) operator for aggregating linguistic information. Some examples are given to illustrate the developed operators.\",\"PeriodicalId\":6404,\"journal\":{\"name\":\"2008 Fourth International Conference on Natural Computation\",\"volume\":\"37 1\",\"pages\":\"204-208\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Fourth International Conference on Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2008.887\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Fourth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2008.887","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Harmonic Mean Operators for Aggregating Linguistic Information
Harmonic mean is widely used to aggregate central tendency data, which is usually expressed in exact numerical values. In this paper, we investigate the situations where the input data are given in the form of linguistic labels, and develop some linguistic harmonic mean aggregation operators, such as the linguistic weighted harmonic mean (LWHM) operator, the linguistic ordered weighted harmonic mean (LOWHM) operator, and the linguistic hybrid harmonic mean (LHHM) operator for aggregating linguistic information. Some examples are given to illustrate the developed operators.
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