Abstract: On the basis of ordered weighted averaging(OWA)operators,two concepts of ordered weighted har-monic averaging(OWHA)operators and induced ordered weighted harmonic averaging(IOWHA)operators are proposed in this paper,and their properties are discussed.It is pointed out that there are some shortcomings in the weighting harmonic averaging combination forecasting model at present.Based on the concept of IOWHA op-erator,the new combination forecasting model is constructed,and its weights are calculated by a mathematical programming model.Finally,some examples show that the model can improve the combination forecasting accu-racy effectively.

Key words: IOWHA operator, combination forecasting, reciprocal errors, quadratic programming