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.

中文翻译：

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直觉模糊分析网络过程

由于在处理标准或子标准相互依赖的多标准决策（MCDM）问题时，网络分析法（ANP）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。不同的领域。鉴于直觉模糊集在表示正、负和不确定信息方面的强大功能，本文研究了针对 MCDM 问题的 ANP 框架，其中所有对对象的成对比较判断信息都由直觉模糊数表示。我们首先证明将 MCDM 问题分解为整体和网络结构的方法，在此基础上，可以通过目标、标准、簇和元素一样。考虑到并非所有 IFPR 都是一致的，因此我们提出了一种新方法，无论 IFPR 是否一致，都可以从 IFPR 中推导出优先级。之后，我们解决了为那些相互依赖的元素构造超矩阵的方法。给出了直观模糊ANP（IFANP）的完整算法，并通过流程图进行了说明。为了展示IFANP的适用性和有效性，我们将该方法应用于四川白酒六朵金花品牌管理的案例研究。给出了一些比较分析，以阐明 IFANP 的优点和无效。之后，我们解决了为那些相互依赖的元素构造超矩阵的方法。给出了直观模糊ANP（IFANP）的完整算法，并通过流程图进行了说明。为了展示IFANP的适用性和有效性，我们将该方法应用于四川白酒六朵金花品牌管理的案例研究。给出了一些比较分析，以阐明 IFANP 的优点和无效。之后，我们解决了为那些相互依赖的元素构造超矩阵的方法。给出了直观模糊ANP（IFANP）的完整算法，并通过流程图进行了说明。为了展示IFANP的适用性和有效性，我们将该方法应用于四川白酒六朵金花品牌管理的案例研究。给出了一些比较分析，以阐明 IFANP 的优点和无效。