Monotonic argument‐dependent OWA operators |
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| Authors: | Wenyi Zeng Deqing Li Yundong Gu |
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| Affiliation: | 1. College of Information Science and Technology, Beijing Normal University, Beijing, People's Republic of China;2. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China;3. School of Mathematics and Physics, North China Electric Power University, Beijing, People's Republic of China |
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| Abstract: | The ordered weighted averaging (OWA) operator introduced by Yager is one of the most popular aggregation technique. In this paper, we develop two kinds of argument‐dependent OWA (DOWA) operators including the pessimistic‐dependent OWA (PE‐DOWA) operator and optimistic‐dependent OWA (OP‐DOWA) operator, that point out that the PE‐DOWA operator is decreasing and the OP‐DOWA operator is increasing, and investigate some properties of our proposed monotonic DOWA operators in detail. Furthermore, we introduce the concept of original function in which a gradient vector generates the weights of the PE‐DOWA and OP‐DOWA operators. Meanwhile, we propose two classes of original functions including summing‐type original function and multiplying‐type original function and investigate the sufficient monotonic conditions for the DOWA operators generated by the original functions. Finally, we discuss the characteristics and properties of our proposed DOWA operators in detail and use a numerical example to illustrate the flexibility of our proposed operators. |
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| Keywords: | dependent OWA operator pessimistic‐dependent OWA operator optimistic‐dependent OWA operator original function |
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