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A Tabu–Harmony Search-Based Approach to Fuzzy Linear Regression

A Tabu–Harmony Search-Based Approach to Fuzzy Linear Regression,10.1109/TFUZZ.2011.2106791,IEEE Transactions on Fuzzy Systems,M. Hadi Mashinchi,Mehmet

A Tabu–Harmony Search-Based Approach to Fuzzy Linear Regression   (Citations: 3)
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We propose an unconstrained global continuous op- timization method based on tabu search and harmony search to support the design of fuzzy linear regression (FLR) models. Tabu and harmony search strategies are used for diversification and in- tensification of FLR, respectively. The proposed approach offers the flexibility to use any kind of an objective function based on client's requirements or requests and the nature of the dataset and then attains its minimum error. Moreover, we elaborate on the error produced by this method and compare it with the errors resulting from the other known estimation methods. To study the performance of the method, three categories of datasets are consid- ered: Numeric inputs-symmetric fuzzy outputs, symmetric fuzzy inputs-symmetric fuzzy outputs, and numeric inputs-asymmetric fuzzy outputs. Through a series of experiments, we demonstrate that in terms of the produced error with different model-fitting measurements, the proposed method outperforms or is Pareto- equivalent to the existing methods reported in the literature.
Journal: IEEE Transactions on Fuzzy Systems - TFS , vol. 19, no. 3, pp. 432-448, 2011
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    • ...We refer the reader to [2], [3], [4], [7], [11], [12], [14], [15], [16] for some recent works as well as some reviews of the main approaches to regression analysis in fuzzy environment...

    Jalal Chachiet al. An interval-based approach to fuzzy regression for fuzzy input-output ...

    • ...It is reported that the uncertainty in a system can be due to several reasons [20]: • The high complexity of the environment, which necessitates the adaptation of abstraction (granulation of information) for generalization purposes [21]...
    • ...In such systems, uncertainty arises usually not due to randomness but due to the phenomenon of fuzziness [20]...
    • ...In the LP based approaches with additional observation data, two constraints are added to LP [20]...
    • ...The critical issue here is that the quantization process causes some important information to be overlooked or neglected [20]...
    • ...To derive the best values of the variables b1 ,b 2 and b3, tabu-harmony search is applied [20]...

    M. Hadi Mashinchiet al. The prediction of trust rating based on the quality of services using ...

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