An attitudinal-based method for constructing intuitionistic fuzzy information in hybrid MADM under uncertainty
An attitudinal-based method for constructing intuitionistic fuzzy information in hybrid MADM under uncertainty
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不确定性下混合MADM中基于态度的直观模糊信息构建方法
DOI：
10.1016/j.ins.2012.04.030
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发表时间：
2012-11-15
影响因子：
8.1
通讯作者：
Li, Wenli
中科院分区：
文献类型：
--
作者：
Guo, Kaihong;Li, Wenli
将不确定性下的多属性决策（MADM）中的混合数据转换为直观模糊值（IFV）具有重要意义，因为后者灵活处理模糊性或不确定性可以避免原始决策信息的丢失和失真，从而保证模糊MADM的温和性和最终决策结果的可靠性。在本文中，我们开发了一种基于态度的方法，用于根据混合 MADM 中不同数据类型表示的属性值构造直观模糊信息。通过引入基本单位区间单调（BUM）函数 Q，我们从一个人的决策态度信息中提取态度特征。并根据与态度Q相关的预期属性值将人对替代方案的主观意见形式化为IFV，从而将充分考虑人的态度的混合决策矩阵转变为直观的模糊决策矩阵。然后使用直觉模糊聚合算子来聚合每个备选方案的直觉模糊属性值，并采用一种新方法根据信息量及其可靠性对这些直觉模糊备选方案进行排名。最后，提供一个例子来说明所提出的方法并检验其可行性和有效性。 Crown 版权所有 (C) 2012 由 Elsevier Inc. 出版。保留所有权利。
Converting hybrid data in multiple attribute decision making (MADM) under uncertainty into intuitionistic fuzzy values (IFVs) is significant because the flexibility in handling vagueness or uncertainty of the latter can avoid the loss and distortion of the original decision information and thus guarantee the mildness of fuzzy MADM and the reliability of the final decision results. in this paper, we develop an attitudinal-based method for constructing intuitionistic fuzzy information according to the attribute values expressed in different data types in hybrid MADM. By introducing a basic unit-interval monotonic (BUM) function Q we extract the attitudinal character from a person's information about his/her decision attitude,. and formalize the person's subjective opinions against alternatives as IFVs based on the expected attribute values associated with attitude Q thus transforming a hybrid decision matrix, with full consideration of a person's attitude, into an intuitionistic fuzzy decision matrix. The intuitionistic fuzzy aggregation operators are then used to aggregate the intuitionistic fuzzy attribute values of each alternative and a new approach is employed to rank these intuitionistic fuzzy alternatives based on the amount of information and its reliability. Finally, an example is provided to illustrate the proposed approach and to examine its feasibility and validity. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.