A NOTE ON EVALUATION OF FUZZY LINEAR REGRESSION MODELS BY COMPARING MEMBERSHIP FUNCTIONS

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Birjand, Birjand, Iran

2 Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran

3 Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

Kim and Bishu (Fuzzy Sets and Systems 100 (1998) 343-352) proposed
a modification of fuzzy linear regression analysis. Their modification
is based on a criterion of minimizing the difference of the fuzzy membership
values between the observed and estimated fuzzy numbers. We show that their
method often does not find acceptable fuzzy linear regression coefficients and
to overcome this shortcoming, propose a modification. Finally, we present two
numerical examples to illustrate efficiency of the modified method.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 6, Issue 2 - Serial Number 2
May and June 2009
Pages 1-6

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