The effectiveness of balance function invariable weights decision making

LI Deqing, ZENG Wenyi

Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (3) : 712-718.

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中国科学院数学与系统科学研究院期刊网
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Systems Engineering - Theory & Practice ›› 2016, Vol. 36 ›› Issue (3) : 712-718. DOI: 10.12011/1000-6788(2016)03-0712-07

The effectiveness of balance function invariable weights decision making

  • LI Deqing1,2, ZENG Wenyi2
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Abstract

The effectiveness of two classes of balance function, summing and multiplying decomposable balance function, in variable weights decision making is discussed. Two concepts of penalty capability and stimulation capability of decomposable balance function are defined, which reflect the balance ability of the penalty balance function and stimulation balance function respectively. The balance effectiveness of the balance function is analyzed in three aspects. The first one is the influence of the balance function on the orness measure of variable weight vector. The second aspect is the influence on the factor weights transferring. In the third aspect, the influence of the balance on the synthesis value is discussed. The results manifest that the law of the operation of the decomposable balance function can be grasped easily by considering the capability of the penalty and stimulation. It also shows that the general principle of selection an appropriate balance function in decision making is presented theoretically by applying the capability of the balance function.

Key words

variable weights synthesis / decomposable balance function / penalty capability / stimulation capability / original function

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LI Deqing , ZENG Wenyi. The effectiveness of balance function invariable weights decision making. Systems Engineering - Theory & Practice, 2016, 36(3): 712-718 https://doi.org/10.12011/1000-6788(2016)03-0712-07

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Funding

National Natural Science Foundation of China (10971243)
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