AN ANALYTICAL SOLUTION METHOD FOR THE GENERALIZED FUZZY WEIGHTED AVERAGE PROBLEM

作者：Liu, Xinwang^*; Wang, Ying-Ming

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2013, 21(3): 455-480.

DOI：10.1142/S0218488513500232

• Fuzzy weighted average
• generalized fuzzy weighted mean
• analytical solution

Based on the current developments of fuzzy weighted average and generalized fuzzy weighted average, especially Karnik-Mendel (KM) algorithms and the works of Wang and Luo (Generalised fuzzy weighted mean and its applications, International Journal of General Systems, 2009, 38, 533-546), the paper analyses some properties of the generalized fuzzy weighted mean (GFWM) and proposes analytical solution method for the GFWM problem. The solution processes and the final solution forms are more simple and accurate than the current GFWM solution, which use samples of the alpha-cuts and get the final solutions approximately. Numerical examples illustrate the analytical solution computing processes for fuzzy weighted average (FWA), fuzzy weighted harmonic mean (FWHM), fuzzy weighted geometric mean (FWGM) and GFWM with exponential and power functions, respectively.

• 出版日期2013-6
• 单位东南大学; 福州大学