Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (12): 2888-2892.

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Some harmonic averaging operators over a continuous three parameters interval argument and application to decision making

WEI Gui-wu   

  1. Dept. of Economics and Management, Chongqing Univ. of Arts and Sciences, Chongqing 402160, China
  • Online:2009-12-24 Published:2010-01-03

Abstract:

With respect to the problem of multiple attribute decision making in which the decision making information values are three parameters interval argument, some information aggregation operators over a continuous three parameters interval argument and a new decision making method are proposed. Based on the continuous ordered weighted harmonic averaging (COWHA) operator, the continuous three parameters interval argument OWHA (CPOWHA) operator is proposed. Further, some operators including weighted harmonic CPOWHA (WHCPOWHA) operator, ordered weighted harmonic CPOWHA (OWHCPOWHA)operator and combined CPOWHA (CCPOWHA)operator are proposed and an inference that is also proued. both WHCPOWHA and OWHCPOWHA operators are the special case of the CCPOWHA operator the CCPOWHA operator generalizes both the WHCPOWHA and OWHCPOWHA operators simultaneously, and reflects the importance degrees of both the given arguments and their ordered positions. A method based on the WHCPOWHA and CCPOWHA operators is developed for dealing with multiple attribute group decision making, in which the attribute weights and expert weights take the form of the real numbers, and the preference values take the form of the three parameters interval argument. Finally a numerical example is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to calculate.

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