| Mathematics and Computer Science |
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| Case-based decision method for gas explosion considering decision maker's regret aversion |
| ZHENG Jing1,2, ZHANG Kai3 |
1.College of Electronics and Information Science, Fujian Jiangxia University, Fuzhou 350108, China
2.Decision Sciences Institute, Fuzhou University, Fuzhou 350116, China
3.Department of Information Engineering, Fujian Chuanzheng Communications College, Fuzhou 350007,China |
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Abstract In order to solve the problem of the decision makers’ psychological behavior in case-based decision, a case-based decision method for gas explosion considering decision maker’s regret aversion is proposed. Firstly, for the calculation of case similarity, the problem attributes are expanded to six types, including symbol data, crisp data, interval data, triangular fuzzy number, multi-granularity linguistic variable and intuitionistic fuzzy number. The perceived utility is then calculated based on the consideration of the decision maker’s regret aversion, and the case similarity is evaluated by weighted summation. Furthermore, the perceived utility of alternative implementations is calculated, and the comprehensive perceived utility is gained by integrating the perceived utility of case similarity with the perceived utility of alternative implementations. On the basis of the above, the optimal alternative is generated according to the comprehensive perceived utility. Finally, an illustrative example is provided which shows the validity and feasibility of the proposed method .
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Received: 13 September 2018
Published: 25 June 2020
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Cite this article:
ZHENG Jing, ZHANG Kai. Case-based decision method for gas explosion considering decision maker's regret aversion. Journal of Zhejiang University (Science Edition), 2020, 47(3): 337-344.
URL:
https://www.zjujournals.com/sci/EN/Y2020/V47/I3/337
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考虑决策者后悔规避的瓦斯爆炸案例决策方法
针对案例决策中决策者存在心理行为的问题，提出了一种考虑决策者后悔规避的瓦斯爆炸案例决策方法。首先，在案例属性相似度计算中，将问题属性拓展到符号型数据、精确数、区间数、三角模糊数、多粒度语言变量和直觉模糊数6种类型。然后，在测算属性相似度的感知效用时，考虑决策者对属性相似度的后悔规避心理行为，通过加权求和计算案例相似度。进一步，计算案例实施效果的感知效用，再通过集结案例相似度和实施效果的感知效用得到综合感知效用，并依据综合感知效用大小生成最优的备选方案。最后通过一个算例，说明该方法的可行性和有效性。
关键词：
后悔理论,
相似度,
案例推理,
后悔值,
感知效用
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