{"title":"The Properties of the Zadeh Extension of Real Valued Exponential Function","authors":"Wang Guixiang, Li Youming","doi":"10.1109/ICCIS.2006.252241","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the properties of the fuzzy number function which is the Zadeh extension of usual real-valued exponential function on fuzzy number space. The continuity, monotonicity, convexity (or concavity), G-differentiability and the integral over directed line segment of the fuzzy number function are characterized with the corresponding analytical properties of the usual real-valued exponential function","PeriodicalId":296028,"journal":{"name":"2006 IEEE Conference on Cybernetics and Intelligent Systems","volume":"177 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE Conference on Cybernetics and Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIS.2006.252241","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we discuss the properties of the fuzzy number function which is the Zadeh extension of usual real-valued exponential function on fuzzy number space. The continuity, monotonicity, convexity (or concavity), G-differentiability and the integral over directed line segment of the fuzzy number function are characterized with the corresponding analytical properties of the usual real-valued exponential function
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