{"title":"具有模糊交互支付的投资项目内部收益率","authors":"V. Gisin, E. Volkova","doi":"10.1109/SCM.2017.7970705","DOIUrl":null,"url":null,"abstract":"The internal rate of return of a fuzzy cash flow can be naturally presented as a solution of an algebraic equation with fuzzy coefficients. In this paper we construct fuzzy rate of return using the extension principle. We give an analog of the Norstrom condition providing the existence of a unique internal rate of return. To take into account the interaction of payments, we consider addition of fuzzy quantities with respect to triangular norms.","PeriodicalId":315574,"journal":{"name":"2017 XX IEEE International Conference on Soft Computing and Measurements (SCM)","volume":"75 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Internal rate of return of investment projects with fuzzy interactive payments\",\"authors\":\"V. Gisin, E. Volkova\",\"doi\":\"10.1109/SCM.2017.7970705\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The internal rate of return of a fuzzy cash flow can be naturally presented as a solution of an algebraic equation with fuzzy coefficients. In this paper we construct fuzzy rate of return using the extension principle. We give an analog of the Norstrom condition providing the existence of a unique internal rate of return. To take into account the interaction of payments, we consider addition of fuzzy quantities with respect to triangular norms.\",\"PeriodicalId\":315574,\"journal\":{\"name\":\"2017 XX IEEE International Conference on Soft Computing and Measurements (SCM)\",\"volume\":\"75 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 XX IEEE International Conference on Soft Computing and Measurements (SCM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCM.2017.7970705\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 XX IEEE International Conference on Soft Computing and Measurements (SCM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCM.2017.7970705","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Internal rate of return of investment projects with fuzzy interactive payments
The internal rate of return of a fuzzy cash flow can be naturally presented as a solution of an algebraic equation with fuzzy coefficients. In this paper we construct fuzzy rate of return using the extension principle. We give an analog of the Norstrom condition providing the existence of a unique internal rate of return. To take into account the interaction of payments, we consider addition of fuzzy quantities with respect to triangular norms.
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