{"title":"模糊环境下利用双曲隶属函数求解线性分式规划的对偶性","authors":"Pratiksha Saxena","doi":"10.4018/ijfsa.2020070101","DOIUrl":null,"url":null,"abstract":"Alinearfractionalprogrammingproblemanditsdualproblemispresentedunderfuzzyenvironment. Appropriatefuzzyversionofdualityresultsareestablishedusinganaspirationlevelapproach.This studyuses thehyperbolicmembership functions to represent fulfillmentof thedecisionmaker’s degreeofsatisfactionincontrasttoavailableliteraturewhichreliedonlinearmembershipfunctions/ exponentialmembershipfunctions. KEyworDS Duality Theory, Fuzzy Linear Fractional Programming, Fuzzy Sets, Hyperbolic Membership Functions","PeriodicalId":233724,"journal":{"name":"Int. J. Fuzzy Syst. Appl.","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions\",\"authors\":\"Pratiksha Saxena\",\"doi\":\"10.4018/ijfsa.2020070101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Alinearfractionalprogrammingproblemanditsdualproblemispresentedunderfuzzyenvironment. Appropriatefuzzyversionofdualityresultsareestablishedusinganaspirationlevelapproach.This studyuses thehyperbolicmembership functions to represent fulfillmentof thedecisionmaker’s degreeofsatisfactionincontrasttoavailableliteraturewhichreliedonlinearmembershipfunctions/ exponentialmembershipfunctions. KEyworDS Duality Theory, Fuzzy Linear Fractional Programming, Fuzzy Sets, Hyperbolic Membership Functions\",\"PeriodicalId\":233724,\"journal\":{\"name\":\"Int. J. Fuzzy Syst. Appl.\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Fuzzy Syst. Appl.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4018/ijfsa.2020070101\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Fuzzy Syst. Appl.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4018/ijfsa.2020070101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2