实值指数函数的Zadeh扩展的性质

2006 IEEE Conference on Cybernetics and Intelligent Systems Pub Date : 2006-06-07 DOI:10.1109/ICCIS.2006.252241

Wang Guixiang, Li Youming

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摘要

本文讨论了模糊数函数在模糊数空间上的性质，该函数是一般实值指数函数的Zadeh扩展。模糊数函数的连续性、单调性、凸性(或凹性)、g -可微性和有向线段上的积分具有一般实值指数函数相应的解析性质

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Properties of the Zadeh Extension of Real Valued Exponential Function

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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2006 IEEE Conference on Cybernetics and Intelligent Systems

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