Promentilla Michael Angelo B, Furuichi T, Ishii K, Tanikawa N
Laboratory of Sound Material-Cycle Systems Planning, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo 060-8628, Hokkaido, Japan.
J Environ Manage. 2008 Aug;88(3):479-95. doi: 10.1016/j.jenvman.2007.03.013. Epub 2007 Apr 30.
The Analytic Network Process (ANP) has been proposed to incorporate interdependence and feedback effect in the prioritization of remedial countermeasures using a hierarchical network decision model, but this approach seems to be incapable of capturing the vagueness and fuzziness during value judgment elicitation. The aim of this paper is to present an evaluation method using a fuzzy ANP (FANP) approach to address this shortcoming. Triangular fuzzy numbers (TFN) and their degree of fuzziness are used in the semantic scale as human judgment expressed in natural language is most often vague and fuzzy. The method employs the alpha-cuts, interval arithmetic and optimism index to transform the fuzzy comparative judgment matrix into set of crisp matrices, and then calculates the desired priorities using the eigenvector method. A numerical example, which was drawn from a real-life case study of an uncontrolled landfill in Japan, is presented to demonstrate the process. Results from the sensitivity analysis describe how the fuzziness in judgment could affect the solution robustness of the prioritization method. The proposed FANP approach therefore could effectively deal with the uncertain judgment inherent in the decision making process and derive the meaningful priorities explicitly from a complex decision structure in the evaluation of contaminated site remedial countermeasures.
解析网络过程（ANP）已被提出，用于在使用层次网络决策模型对补救措施进行优先级排序时纳入相互依存和反馈效应，但这种方法似乎无法捕捉价值判断引发过程中的模糊性和不确定性。本文的目的是提出一种使用模糊ANP（FANP）方法的评估方法来解决这一缺点。由于自然语言表达的人类判断通常是模糊和不确定的，因此在语义量表中使用三角模糊数（TFN）及其模糊度。该方法采用α-截集、区间算术和乐观指数将模糊比较判断矩阵转换为一组清晰矩阵，然后使用特征向量法计算所需的优先级。给出了一个数值示例，该示例取自日本一个未受控制的垃圾填埋场的实际案例研究，以演示该过程。敏感性分析的结果描述了判断中的模糊性如何影响优先级排序方法的解的稳健性。因此，所提出的FANP方法可以有效地处理决策过程中固有的不确定判断，并从污染场地补救措施评估中的复杂决策结构中明确得出有意义的优先级。
