TEF | R Documentation |
Calculates total error of fit of a fuzzy regression model based on the concept of difference in membership functions of triangular fuzzy numbers between the estimated and observed fuzzy dependent variables.
TEF(object, sc = 1e-06, ...)
object |
a |
sc |
scaling constant used for numerical stability when spreads are equal to zero. |
... |
additional arguments passed to the |
Calculates \sum{E}
, where E
is the difference in
membership functions between two triangular fuzzy numbers. Here, between the
observation and the prediction from a fuzzy regression model fuzzylm
.
A numeric with sum of pairwise differences between the triangular fuzzy numbers.
TEF
is not suitable for assessing fuzzy linear regression models that were
fitted from crisp input data. Such data will result in division by zero. The scaling
constant sc
numerically allows the calculation to proceed, but it is not
advisable. Use GOF
instead.
Kim B. and Bishu R. R. (1998) Evaluation of fuzzy linear regression models by comparing membership functions. Fuzzy Sets and Systems 100: 343-352.
fuzzylm
, GOF
data(fuzzydat)
f <- fuzzylm(y ~ x, fuzzydat$lee)
TEF(f)
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