Fuzzy goal programming for solving fuzzy regression equations

  • Authors:
  • Ruey-Chyn Tsaur;Hsiao-Fan Wang

  • Affiliations:
  • Department of Finance, Hsuan Chuang University, Hsinchu, Taiwan;Department of Industry Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan

  • Venue:
  • ICS'06 Proceedings of the 10th WSEAS international conference on Systems
  • Year:
  • 2006

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Abstract

The range of a fuzzy regression interval is decided by the collected data and the confidence level h. It is understood that a larger value h in a fuzzy regression equation implies a larger fuzzy regression interval. In order to examine the effect of value h, Moskowitz and Kim developed an analytical method to assess the shape and range of the possibility distribution of a membership function in order to reveal more reliable and realistic results from the fuzzy regression. If the possibility of each datum in the fuzzy regression interval can be easily found, then the regression analysis should be carried out precisely. However, it is complicated to find a proper value h among the types of membership functions of fuzzy parameters and collected fuzzy data as proposed by the analysis process of Moskowitz and Kim. Therefore, in this study, a fuzzy goal programming method is proposed for solving a fuzzy regression equation in which a maximum satisfactory value h in the fuzzy regression interval can be solved. Numerical examples are provided to illustrate our proposed method.