A Systematic Approach to Optimizing Value for Fuzzy Linear Regression with Symmetric Triangular Fuzzy Numbers
Xilong Liu and
Yizeng Chen
Mathematical Problems in Engineering, 2013, vol. 2013, 1-9
Abstract:
A systematic approach is proposed to optimize value for fuzzy linear regression (FLR) analysis using minimum fuzziness criteria with symmetric triangular fuzzy numbers (TFNs). Firstly, a new concept of credibility is defined to evaluate the performance of FLR models with different values when a set of sample data pairs is given. Secondly, based on the defined concept of credibility, a programming model is formulated to optimize the value of . Finally, both the numerical study and the real application show that the approach proposed in this paper is effective and efficient; that is, optimal value for can be determined definitely with respect to a set of given sample data pairs.
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:210164
DOI: 10.1155/2013/210164
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