[1] Liu Xinwang,. Three methods for generating monotonic OWA operator weightswith given orness level [J]. Journal of Southeast University (English Edition), 2004, 20 (3): 369-373. [doi:10.3969/j.issn.1003-7985.2004.03.021]

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Three methods for generating monotonic OWA operator weightswith given orness level()

给定orness 水平下 生成单调OWA权值序列的3种方法

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

20

Issue:

2004 3

Page:

369-373

Research Field:

Economy and Management

Publishing date:

2004-09-30

Info

Title:

Three methods for generating monotonic OWA operator weightswith given orness level

给定orness 水平下 生成单调OWA权值序列的3种方法

Author(s):

Liu Xinwang

College of Economics and Management, Southeast University, Nanjing 210096, China

刘新旺

东南大学经济管理学院, 南京 210096

Keywords:

ordered weighted averaging operator;  orness measure;  fuzzy quantifier

OWA 算子;  orness 测度;  模糊量化算子

PACS:

TU431

DOI:

10.3969/j.issn.1003-7985.2004.03.021

Abstract:

Based on the properties of ordered weighted averaging(OWA)operator and regular increasing monotone(RIM)quantifier, three methods for generating monotonic OWA operator weights are proposed. They are geometric OWA operator weights, equidifferent OWA operator weights and the modified RIM quantifier OWA weights. Compared with most of the common OWA methods for generating weights, the methods proposed in this paper are more intuitive and efficient in computation. And as there are more than one solution in most cases, the decision maker can set some initial condition and chooses the appropriate solution in the real decision process, which increases the flexibility of decision making to some extent. All these three OWA methods for generating weights are illustrated by numerical examples.

基于OWA算子和RIM模糊量化算子的性质, 提出了在给定orness水平的情况下, 生成单调OWA算子权值序列的3种方法, 分别是等比OWA算子、等差OWA算子和基于修正的模糊量化算子的权值生成方法. 与现有的大多数方法相比, 该系列方法符合直觉且计算简单. 该系列方法还可以使决策者给出一定的初始条件, 而得到其所期望形式的OWA权值序列, 在一定程度上增加了决策的灵活性. 每种方法都给出了具体算例以表明其有效性和合理性.

References:

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Memo

Memo:

Biography: Liu Xinwang(1968—), male, doctor, associate professor, xwliu@seu.edu.cn.

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