Hesitant Fuzzy Linguistic Analytic Hierarchical Process With Prioritization, Consistency Checking, and Inconsistency Repairing
Hesitant Fuzzy Linguistic Analytic Hierarchical Process With Prioritization, Consistency Checking, and Inconsistency Repairing
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具有优先级、一致性检查和不一致修复功能的犹豫模糊语言分析层次过程
DOI：
10.1109/access.2019.2908701
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发表时间：
2019-04
期刊：
影响因子：
3.9
通讯作者：
Herrera Francisco
中科院分区：
文献类型：
--
作者：
Mi Xiaomei;Wu Xingli;Tang Ming;Liao Huchang;Al Barakati Abdullah;Altalhi Abdulrahman H;Herrera Francisco
层次分析法（AHP）作为解决多准则决策问题的重要方法之一，在过去的几十年里取得了很大的成功。鉴于语言表达比数值或单个语言术语更接近人类的思维和认知方式，本文用比较语言表达来研究层次分析法。在简要介绍了经典层次分析法及其模糊扩展的基础上，提出了犹豫模糊语言层次分析法框架，该框架展示了如何对具有复杂语言表达的定性决策问题进行决策。首先，将标准或选择的比较语言表达转化为犹豫模糊语言元素，然后构造犹豫模糊语言偏好关系（hflpr）。考虑到hflpr可能不一致，我们基于线性规划方法从hflpr中获得优先级后进行一致性检查和改进过程。在一致性改进过程中，提出了一种建立完全一致的HFLPR的新方法。逐步给出了犹豫模糊语言层次分析法的求解过程。最后，以柠檬市场的二手车管理为例，说明了所提出的犹豫模糊语言层次分析法的有效性。
Analytic hierarchy process (AHP), as one of the most important methods to tackle multiple criteria decision-making problems, has achieved much success over the past several decades. Given that linguistic expressions are much closer than numerical values or single linguistic terms to a human way of thinking and cognition, this paper investigates the AHP with comparative linguistic expressions. After providing the snapshot of classical AHP and its fuzzy extensions, we propose the framework of hesitant fuzzy linguistic AHP, which shows how to yield a decision for qualitative decision-making problems with complex linguistic expressions. First, the comparative linguistic expressions over criteria or alternatives are transformed into hesitant fuzzy linguistic elements and then the hesitant fuzzy linguistic preference relations (HFLPRs) are constructed. Considering that HFLPRs may be inconsistent, we conduct consistency checking and improving processes after obtaining priorities from the HFLPRs based on a linear programming method. Regarding the consistency-improving process, we develop a new way to establish a perfectly consistent HFLPR. The procedure of the hesitant fuzzy linguistic AHP is given in stepwise. Finally, a numerical example concerning the used-car management in a lemon market is given to illustrate the efficiency of the proposed hesitant fuzzy linguistic AHP method.