几个模糊目标函数的数学规划问题

IF 1 4区计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems Pub Date : 2013-08-12 DOI:10.1142/S0218488513400047

LuhandjulaMonga Kalonda, Rangoaga Moeti Joseph

{"title":"几个模糊目标函数的数学规划问题","authors":"LuhandjulaMonga Kalonda, Rangoaga Moeti Joseph","doi":"10.1142/S0218488513400047","DOIUrl":null,"url":null,"abstract":"In this paper we propose an approach for multiobjective programming problems with fuzzy number coefficients. The main idea behind our approach is to approximate involved fuzzy numbers by their respective nearest interval approximation counterparts. An algorithm that returns a nearest interval approximation to a given fuzzy number, plays a pivotal role in the proposed method. Our approach contrasts markedly with those based on deffuzification operators which replace a fuzzy set by a single real number leading to a loss of many important information. A numerical example is also provided for the sake of illustration.","PeriodicalId":50283,"journal":{"name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","volume":"5 1","pages":"51-62"},"PeriodicalIF":1.0000,"publicationDate":"2013-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"MATHEMATICAL PROGRAMMING PROBLEMS WITH SEVERAL FUZZY OBJECTIVE FUNCTIONS\",\"authors\":\"LuhandjulaMonga Kalonda, Rangoaga Moeti Joseph\",\"doi\":\"10.1142/S0218488513400047\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we propose an approach for multiobjective programming problems with fuzzy number coefficients. The main idea behind our approach is to approximate involved fuzzy numbers by their respective nearest interval approximation counterparts. An algorithm that returns a nearest interval approximation to a given fuzzy number, plays a pivotal role in the proposed method. Our approach contrasts markedly with those based on deffuzification operators which replace a fuzzy set by a single real number leading to a loss of many important information. A numerical example is also provided for the sake of illustration.\",\"PeriodicalId\":50283,\"journal\":{\"name\":\"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems\",\"volume\":\"5 1\",\"pages\":\"51-62\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2013-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1142/S0218488513400047\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1142/S0218488513400047","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}

引用次数: 4

摘要

本文提出了一种求解模糊数系数多目标规划问题的方法。我们的方法背后的主要思想是通过它们各自的最近区间近似来近似所涉及的模糊数。在该方法中，返回给定模糊数的最近区间逼近的算法起着关键作用。我们的方法与基于去模糊化算子的方法形成鲜明对比，去模糊化算子用单个实数代替模糊集，导致许多重要信息的丢失。为了说明问题，文中还给出了一个数值例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

MATHEMATICAL PROGRAMMING PROBLEMS WITH SEVERAL FUZZY OBJECTIVE FUNCTIONS

In this paper we propose an approach for multiobjective programming problems with fuzzy number coefficients. The main idea behind our approach is to approximate involved fuzzy numbers by their respective nearest interval approximation counterparts. An algorithm that returns a nearest interval approximation to a given fuzzy number, plays a pivotal role in the proposed method. Our approach contrasts markedly with those based on deffuzification operators which replace a fuzzy set by a single real number leading to a loss of many important information. A numerical example is also provided for the sake of illustration.

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

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 工程技术-计算机：人工智能

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

13.5 months

期刊介绍： The International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems is a forum for research on various methodologies for the management of imprecise, vague, uncertain or incomplete information. The aim of the journal is to promote theoretical or methodological works dealing with all kinds of methods to represent and manipulate imperfectly described pieces of knowledge, excluding results on pure mathematics or simple applications of existing theoretical results. It is published bimonthly, with worldwide distribution to researchers, engineers, decision-makers, and educators.