Quantile induced heavy ordered weighted averaging operators and its application in incentive decision making |
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| Authors: | Pingtao Yi Weiwei Li Yajun Guo Danning Zhang |
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| Affiliation: | 1. School of Business Administration, Northeastern University, Shenyang, People's Republic of China;2. School of Economics, Liaoning University, Shenyang, People's Republic of China |
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| Abstract: | To integrate incentives into the information aggregation process in decision making, we propose a new type of aggregation operator, denominated as the quantile induced heavy ordered weighted averaging (QI‐HOWA) operator in this paper. A primary characteristic of this type of operator is that the quantile variable can be used not only to measure the relative performance of alternatives but also to facilitate the incentive preference expression of the decision maker. We further provide a calculation technology of the QI‐HOWA weights, in which various incentive preferences of the decision maker can be considered through parameter adjustment. In addition, we discuss certain properties of the QI‐HOWA operator and note the extent to which they are effective. Finally, a numerical example regarding the selection of optimal alternatives by incentive measures is provided, and the aggregations are compared with those of ordered weighted averaging and unweighted averaging operators to illustrate the validity of the QI‐HOWA operator. |
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| Keywords: | decision making HOWA operator incentive management OWA operator QI‐HOWA operator |
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