Intuitionistic Fuzzy Analytic Network Process
Intuitionistic Fuzzy Analytic Network Process
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DOI：
10.1109/tfuzz.2017.2788881
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发表时间：
2018-10
影响因子：
11.9
通讯作者：
Huchang Liao;Xiaomei Mi;Zeshui Xu;Jiuping Xu;F. Herrera
中科院分区：
文献类型：
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作者：
Huchang Liao;Xiaomei Mi;Zeshui Xu;Jiuping Xu;F. Herrera
由于网络分析法在处理准则或子准则相互依赖的多准则决策问题时比层次分析法灵活得多，因此引起了许多学者的关注，并已应用于许多领域。考虑到直觉模糊集在表示正、负和不确定信息方面的强大能力，本文研究了用直觉模糊数表示两两比较判断信息的MCDM问题的ANP框架。我们首先证明的方式分解成一个整体和网络结构的MCDM问题，在此基础上，直觉模糊偏好关系（IFPR）可以通过对目标，标准，集群以及元素的成对比较来构建。考虑到并不是所有的IFPR都是一致的，我们提出了一种新的方法来获得IFPR的优先级，无论IFPR是一致的还是不一致的。在此之后，我们解决了如何构建这些相互依赖的元素的超矩阵。给出了直觉模糊ANP（IFANP）的完整算法，并给出了流程图。为了说明IFANP的适用性和有效性，我们将该方法应用于川酒六朵金花品牌管理的案例研究。通过比较分析，阐明了IFANP的优势与不足。
Since the analytic network process (ANP) is much more flexible than the analytic hierarchy process in handling the multiple criteria decision making (MCDM) problems in which the criteria or subcriteria are interdependent, it has attracted many scholars’ attention and has been applied into many different areas. Given the powerfulness of intuitionistic fuzzy set in representing positive, negative, and indeterminate information, this paper investigates the ANP framework for the MCDM problems in which all the pairwise comparison judgment information over the objects are represented by intuitionistic fuzzy numbers. We first justify the way to decompose the MCDM problem into a holarchy and network structure, based on which, the intuitionistic fuzzy preference relations (IFPRs) can be constructed through pairwise comparisons over the goals, criteria, clusters as well as the elements. Considering that not all the IFPRs are consistent, we then propose a new method to derive the priorities from the IFPRs no matter the IFPRs are consistent or not. After that, we address the way to construct the supermatrix for those interdependent elements. The complete algorithm of intuitionistic fuzzy ANP (IFANP) is given and illustrated by a flow chart. To show the applicability and efficiency of the IFANP, we implement the method to a case study concerning the brand management of the six golden flowers of Sichuan liquor. Some comparative analyses are given to clarify the advantages and invalidation of the IFANP.