A Novel Risk Decision Making Based on Decision-Theoretic Rough Sets Under Hesitant Fuzzy Information

被引：177
作者：
Liang, Decui [1 ]
Liu, Dun [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Management & Econ, Chengdu 610054, Peoples R China
[2] Southwest Jiaotong Univ, Sch Econ & Management, Chengdu 610031, Peoples R China
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2015年 / 23卷 / 02期
基金：
中国博士后科学基金; 美国国家科学基金会; 高等学校博士学科点专项科研基金;
关键词：
Conditional probability; decision making; decision-theoretic rough sets (DTRSs); hesitant fuzzy sets (HFSs); loss function; ATTRIBUTE REDUCTION; RESOURCE-ALLOCATION; AGGREGATION; OPERATORS;
D O I：
10.1109/TFUZZ.2014.2310495
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Decision-theoretic rough sets (DTRSs) play a crucial role in risk decision-making problems. With respect to the minimum expected risk, DTRSs deduce the rules of three-way decisions. Considering the new expression of evaluation information with hesitant fuzzy sets (HFSs), we introduce HFSs into DTRSs and explore their decision mechanisms. More specifically, we take into account the losses of DTRSs with hesitant fuzzy elements and propose a new model of hesitant fuzzy decision-theoretic rough sets (HFDTRSs). Some properties of the expected losses and their corresponding scores are carefully investigated under the hesitant fuzzy information. Three-way decisions and the associated cost of each object are further derived. With the above analysis, a novel risk decision-making method with the aid of HFDTRSs is developed. Besides the three-way decisions with DTRSs, the method investigates the ranking and resource allocation by utilizing the associated costs of alternatives and multiobjective 0-1 integer programming. Our study also offers a solution in the aspect of determining losses of DTRS and extends the range of applications.
引用
收藏
页码：237 / 247
页数：11
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