{"title":"直觉模糊特征值问题","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":"{\"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}","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}
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.