Abstract
We apply our new fuzzy Monte Carlo method to a certain fuzzy linear regression problem to estimate the best solution. The best solution is a vector of triangular fuzzy numbers, for the fuzzy coefficients in the model, which minimizes one of two error measures. We use a quasi-random number generator to produce random sequences of these fuzzy vectors which uniformly fill the search space. We consider an example problem and show this Monte Carlo method obtains the best solution for one error measure and is approximately best for the other error measure.
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Abdalla, A., Buckley, J.J. Monte Carlo methods in fuzzy linear regression. Soft Comput 11, 991–996 (2007). https://doi.org/10.1007/s00500-006-0148-5
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DOI: https://doi.org/10.1007/s00500-006-0148-5