Title
Construction of differentiable membership functions
Abstract
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. (C) 1999 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1999
10.1016/S0165-0114(98)00165-1
Fuzzy Sets and Systems
Keywords
Field
DocType
continuously differentiable membership functions,smooth transfer functions,approximation of fuzzy sets
Discrete mathematics,Exponential function,Fuzzy classification,Fuzzy logic,Approximation theory,Fuzzy set,Differentiable function,Smoothness,Membership function,Mathematics
Journal
Volume
Issue
ISSN
101
2
0165-0114
Citations 
PageRank 
References 
6
0.67
2
Authors
2
Name
Order
Citations
PageRank
Adolf Grauel1349.56
Lars A. Ludwig260.67