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Construction of differentiable membership functions

✍ Scribed by A. Grauel; L.A. Ludwig

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
405 KB
Volume
101
Category
Article
ISSN
0165-0114

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✦ Synopsis

In many applications of fuzzy logic it is of special interest to have a transfer function with good properties regarding differentiability. To that end it is desirable to have continuously differentiable membership functions with only few parameters. In this paper we propose a class of symmetrical and asymmetrical membership functions of exponential order. Moreover, we present a class of more flexible membership functions by construction.

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