{"title":"作为模糊信息聚合器的模糊中值","authors":"V. L. Khatskevich","doi":"10.3103/s0147688223060060","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract—</h3><p>On the basis of the fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of the aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, and monotonicity of averaging operators are a modification of the characteristic properties of scalar aggregation functions for the fuzzy case. Additionally, the properties of additivity and homogeneity, as an extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.</p>","PeriodicalId":43962,"journal":{"name":"Scientific and Technical Information Processing","volume":"47 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fuzzy Medians as Aggregators of Fuzzy Information\",\"authors\":\"V. L. Khatskevich\",\"doi\":\"10.3103/s0147688223060060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract—</h3><p>On the basis of the fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of the aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, and monotonicity of averaging operators are a modification of the characteristic properties of scalar aggregation functions for the fuzzy case. Additionally, the properties of additivity and homogeneity, as an extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.</p>\",\"PeriodicalId\":43962,\"journal\":{\"name\":\"Scientific and Technical Information Processing\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scientific and Technical Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3103/s0147688223060060\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"INFORMATION SCIENCE & LIBRARY SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific and Technical Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0147688223060060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"INFORMATION SCIENCE & LIBRARY SCIENCE","Score":null,"Total":0}
On the basis of the fuzzy medians of fuzzy number systems, a class of averaging operators is introduced and studied for the implementation of the problem of the aggregation of fuzzy information. The established properties of symmetry, idempotence, continuity, and monotonicity of averaging operators are a modification of the characteristic properties of scalar aggregation functions for the fuzzy case. Additionally, the properties of additivity and homogeneity, as an extreme property, are established. This determines the adequacy of the use of fuzzy medians in the tasks of aggregating fuzzy information.
期刊介绍：
Scientific and Technical Information Processing is a refereed journal that covers all aspects of management and use of information technology in libraries and archives, information centres, and the information industry in general. Emphasis is on practical applications of new technologies and techniques for information analysis and processing.
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