{"title":"Intuitionistic fuzzy eigenvalue problem","authors":"Tahir Ceylan","doi":"10.11121/ijocta.1471","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is the study of the eigenvalues of the second order fuzzy boundary value problem (FBVP). By using the (alpha-beta)-level set of intuitionistic fuzzy numbers and Zadeh's extension principle, the FBVP is solved with the proposed method. Furthermore, a numerical example is illustrated and the advantages of the proposed approach are compared with other well-known methods such as the solutions based on the generalized Hukuhara derivative.","PeriodicalId":505378,"journal":{"name":"An International Journal of Optimization and Control: Theories & Applications (IJOCTA)","volume":"20 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"An International Journal of Optimization and Control: Theories & Applications (IJOCTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11121/ijocta.1471","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this paper is the study of the eigenvalues of the second order fuzzy boundary value problem (FBVP). By using the (alpha-beta)-level set of intuitionistic fuzzy numbers and Zadeh's extension principle, the FBVP is solved with the proposed method. Furthermore, a numerical example is illustrated and the advantages of the proposed approach are compared with other well-known methods such as the solutions based on the generalized Hukuhara derivative.
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