摘要
评分函数是Vague集多准则决策过程中影响决策结果的一个重要因素.针对模糊环境下多准则决策问题,首先,指出现有文献所构造的评分函数的缺陷.其次,在整合前人工作的基础上,为同时兼顾真、假隶属度的绝对差距和未知度对决策结果的贡献,提出了一种新的评分函数,有效地解决了决策结果与直觉判断不符的问题,并在多方案的评分函数值相等时,给出了合理的决策规则,为决策者做出科学决策提供了一种方便有效的方法.最后,通过实例阐明新评分函数的有效性和优越性.
Scoring function is an important factor to influence the selected results in the process of multi-criteria decision based on Vague set. In allusion to multi-criteria decision problems in fuzzy environment, firstly, this paper analyzes the current scor- ing functions in existing literature and points out their deficiencies. Some scoring functions emphasize the absolute distance between true and false membership degree and ignore the contribution of unknown degree; Some exaggerate the influence of unknown information; Some scoring functions use unknown information improperly. Some evaluation results are inconsistent with the intuition because of these deficien- cies. Then this paper puts forward a new scoring function which simultaneously takes into account the contribution of true and false membership degree and un- known degree based on predecessors＇ work. The new scoring function not only solves the discrepancy between evaluation results and intuition, but also gives a reasonable decision rule when the scoring function values are equal, and it provides a convenient and effective method for the optimal decision of the decision-makers. Finally, the examples show that the new scoring function is more efficient and advantageous.
出处
《系统科学与数学》
CSCD
北大核心
2014年第1期96-105,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(71273148
71171120
71210307025)
教育部人文社科基金规划项目(11YJA790133)
江苏省高校哲学社科基金重点项目(11ZDIXM051)
江苏省普通高校研究生科研创新基金(CXLX12_0178)资助课题
关键词
多准则决策
VAGUE集
评分函数
Multi-criteria decision making, Vague set, scoring function.
