Title :
The Properties of the Zadeh Extension of Real Valued Exponential Function
Author :
Guixiang, Wang ; Youming, Li
Author_Institution :
Sch. of Sci., Hangzhou Dianzi Univ.
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
Keywords :
fuzzy set theory; G-differentiability; Zadeh extension; fuzzy number function; fuzzy number mapping; fuzzy number space; integral; real valued exponential function; Computational Intelligence Society; Fuzzy sets; Mathematics; G-derivative; fuzzy number mappings; fuzzy numbers; integral;
Conference_Titel :
Cybernetics and Intelligent Systems, 2006 IEEE Conference on
Conference_Location :
Bangkok
Print_ISBN :
1-4244-0023-6
DOI :
10.1109/ICCIS.2006.252241
