Evidential Reasoning Approach for Multiattribute Decision Analysis Under Both Fuzzy and Interval Uncertainty
Evidential Reasoning Approach for Multiattribute Decision Analysis Under Both Fuzzy and Interval Uncertainty
复制标题
模糊和区间不确定性下多属性决策分析的证据推理方法
DOI：
10.1109/tfuzz.2008.928599
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发表时间：
2009-06-01
影响因子：
11.9
通讯作者：
Liu, Xin-Bao
中科院分区：
文献类型：
--
作者：
Guo, Min;Yang, Jian-Bo;Liu, Xin-Bao
许多多属性决策分析（MADA）问题的特点是定量和定性属性与各种类型的不确定性。不完全性（或无知）和不确定性（或模糊）是决策分析中最常见的不确定性。近年来，证据推理（ER）和区间等级ER（IER）方法被发展起来，以支持决策分析中具有区间不确定性和局部无知的MADA问题的解决。在本文中，ER方法的增强，以处理区间不确定性和模糊信念在评估一个属性的替代品。在这种新开发的模糊IER（菲耶尔）方法中，局部无知和等级模糊建模下的分布式模糊信念结构的综合框架，导致一个模糊信念决策矩阵。最后通过数值算例说明了菲耶尔方法的具体实现过程及其有效性和适用性。
Many multiple attribute decision analysis (MADA) problems are characterized by both quantitative and qualitative attributes with various types of uncertainties. Incompleteness (or ignorance) and vagueness (or fuzziness) are among the most common uncertainties in decision analysis. The evidential reasoning (ER) and the interval grade ER (IER) approaches have been developed in recent years to support the solution of MADA problems with interval uncertainties and local ignorance in decision analysis. In this paper, the ER approach is enhanced to deal with both interval uncertainty and fuzzy beliefs in assessing alternatives on an attribute. In this newly developed fuzzy IER (FIER) approach, local ignorance and grade fuzziness are modeled under the integrated framework of a distributed fuzzy belief structure, leading to a fuzzy belief decision matrix. A numerical example is provided to illustrate the detailed implementation process of the FIER approach and its validity and applicability.