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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2015, Vol. 32 ›› Issue (5): 650-658.doi: 10.3969/j.issn.1005-3085.2015.05.003

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基于直觉模糊多属性群决策的风险排序方法

蔡久顺1,   张执国1,   师  鹏1,   何  泉2   

  1. 1- 空军工程大学装备管理与安全学院，西安 710051
    2- 西安建筑科技大学建筑学院，西安 710055
  • 收稿日期:2014-09-22 接受日期:2015-03-12 出版日期:2015-10-15 发布日期:2015-12-15
  • 基金资助:
    “十二五”国家科技支撑计划 (2013BAJ03B04-1).

Method for Risk Ranking Based on Intuitionistic Fuzzy Multi-attribute Group Decision-making

CAI Jiu-shun1,  ZHANG Zhi-guo1,  SHI Peng1,  HE Quan2   

  1. 1- College of Equipment and Safety Engineering, Air Force Engineering University, Xi'an 710051
    2- College of Architecture, Xi'an University of Architecture and Technology, Xi'an 710055
  • Received:2014-09-22 Accepted:2015-03-12 Online:2015-10-15 Published:2015-12-15
  • Supported by:
    The 12th Five-year National Science and Technology Support Plan (2013BAJ03B04-1).

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摘要： 为了解决信息收集时的模糊性和不确定性问题，避免单人决策的失误，并全面描述风险的不同特征，本文将直觉三角模糊数和多属性群决策理论结合起来，提出了一种基于直觉模糊多属性群决策的风险排序方法，提高了风险排序的准确度．首先，运用直觉三角模糊数收集专家的判断信息；其次，通过分别计算三角模糊数和直觉模糊数的熵权得到组合权重，从而确定不同方案的风险综合值；再次，利用逼近理想解法对不同方案的风险综合值进行排序；最后，给出实例验证了该方法的有效性和可行性．

关键词: 风险排序, 直觉三角模糊数, 多属性群决策, 熵权, 逼近理想解法

Abstract:

In order to solve the fuzzy and uncertainty problem of information collection, avoid the mistakes of single-person decision, and describe different characteristics of risk, we combine the intuitionistic triangular fuzzy number and the theory of multi-attribute group decision-making, and propose a new ranking method based on intuitionistic fuzzy multi-attribute group decision-making and improve the accuracy of risk ranking. Firstly, we apply the intuitionistic triangular fuzzy number to collect expert judgment information. Secondly, we calculate the entropy weights of triangular fuzzy number and intuitionistic fuzzy number to get the combined weights, and obtain the comprehensive value of different risk schemes. Then, we rank comprehensive value of different risk schemes by TOPSIS method. Finally, the numerical example is given to verify the feasibility and effectiveness of the method.

Key words: risk ranking, intuitionistic triangular fuzzy number, multi-attribute group decision-making, entropy weight, TOPSIS

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