利用模糊信息量集合还原帕累托集合的算法

IF 0.4 Q4 INFORMATION SCIENCE & LIBRARY SCIENCE Scientific and Technical Information Processing Pub Date : 2024-03-07 DOI:10.3103/s0147688223060126

V. D. Noghin

{"title":"利用模糊信息量集合还原帕累托集合的算法","authors":"V. D. Noghin","doi":"10.3103/s0147688223060126","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper deals with the multi-criteria problem of choice with a numerical vector function defined on a set of feasible variants. It is assumed that the decision maker uses a fuzzy preference relation for the choice process. Information on the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta in order to facilitate the final choice. A numerical example illustrates the operation of the algorithm.</p>","PeriodicalId":43962,"journal":{"name":"Scientific and Technical Information Processing","volume":"19 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta\",\"authors\":\"V. D. Noghin\",\"doi\":\"10.3103/s0147688223060126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>This paper deals with the multi-criteria problem of choice with a numerical vector function defined on a set of feasible variants. It is assumed that the decision maker uses a fuzzy preference relation for the choice process. Information on the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta in order to facilitate the final choice. A numerical example illustrates the operation of the algorithm.</p>\",\"PeriodicalId\":43962,\"journal\":{\"name\":\"Scientific and Technical Information Processing\",\"volume\":\"19 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/s0147688223060126\",\"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/s0147688223060126","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"INFORMATION SCIENCE & LIBRARY SCIENCE","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文讨论的是多标准选择问题，其数值向量函数定义在一组可行的变体上。假设决策者在选择过程中使用模糊偏好关系。关于偏好关系的信息被认为是以有限模糊量子集合的形式已知的。我们制定了一种算法，利用量子集合缩小多标准选择问题中的帕累托集合，以促进最终选择。一个数字示例说明了该算法的运行。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta

Abstract

This paper deals with the multi-criteria problem of choice with a numerical vector function defined on a set of feasible variants. It is assumed that the decision maker uses a fuzzy preference relation for the choice process. Information on the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta in order to facilitate the final choice. A numerical example illustrates the operation of the algorithm.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Scientific and Technical Information Processing INFORMATION SCIENCE & LIBRARY SCIENCE-

CiteScore

1.00

自引率

42.90%

发文量

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.