{"title":"利用一种求解全模糊线性规划问题的新方法","authors":"H. Khalifa","doi":"10.17535/crorr.2019.0027","DOIUrl":null,"url":null,"abstract":"This paper deals with fully fuzzy linear programming (FFLP) problem in which all parameters and variables are characterized by L-R fuzzy numbers. By a proposed approach, the FFLP problem is converted into the triple objective functions, and hence a single objective using the weighting method. Through this approach the problem is not transformed into the crisp linear programming problem (LPP) that is enable for obtaining fuzzy optimal solution and the corresponding fuzzy optimal solution which is more realistic to the real world problems. Then a numerical example is taken to the utility and clarify the practically and the efficiency of the approach.","PeriodicalId":44065,"journal":{"name":"Croatian Operational Research Review","volume":"1 1","pages":"337-344"},"PeriodicalIF":0.5000,"publicationDate":"2019-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.17535/crorr.2019.0027","citationCount":"6","resultStr":"{\"title\":\"Utilizing a new approach for solving fully fuzzy linear programming problems\",\"authors\":\"H. Khalifa\",\"doi\":\"10.17535/crorr.2019.0027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with fully fuzzy linear programming (FFLP) problem in which all parameters and variables are characterized by L-R fuzzy numbers. By a proposed approach, the FFLP problem is converted into the triple objective functions, and hence a single objective using the weighting method. Through this approach the problem is not transformed into the crisp linear programming problem (LPP) that is enable for obtaining fuzzy optimal solution and the corresponding fuzzy optimal solution which is more realistic to the real world problems. Then a numerical example is taken to the utility and clarify the practically and the efficiency of the approach.\",\"PeriodicalId\":44065,\"journal\":{\"name\":\"Croatian Operational Research Review\",\"volume\":\"1 1\",\"pages\":\"337-344\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2019-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.17535/crorr.2019.0027\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Croatian Operational Research Review\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17535/crorr.2019.0027\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Croatian Operational Research Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17535/crorr.2019.0027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
Utilizing a new approach for solving fully fuzzy linear programming problems
This paper deals with fully fuzzy linear programming (FFLP) problem in which all parameters and variables are characterized by L-R fuzzy numbers. By a proposed approach, the FFLP problem is converted into the triple objective functions, and hence a single objective using the weighting method. Through this approach the problem is not transformed into the crisp linear programming problem (LPP) that is enable for obtaining fuzzy optimal solution and the corresponding fuzzy optimal solution which is more realistic to the real world problems. Then a numerical example is taken to the utility and clarify the practically and the efficiency of the approach.
期刊介绍:
Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.