摘要
针对属性值为直觉模糊数,已知部分属性偏好关系及属性交互类型的属性关联多属性决策问题给出决策方法.首先定义方案到正(负)理想方案的距离及各方案与正理想方案相对贴近度.然后以极大化各方案与相对贴近度为目标建立优化模型,确定出属性集的模糊测度.进而基于直觉模糊Choquet积分算子计算各方案的直觉模糊综合评价值,再根据直觉模糊数的得分值及精确度得到方案的排序.最后通过实例验证了方法的有效可行性.
On the basis of the knowledge of the partial preference relation over attributes and the type of interaction over pairs of attributes.A method is proposed to solve the multiple attribute decision making problems with interacting attributes,where the attribute values are intuitionistic fuzzy numbers.First,The notions of the distance between each alternative and idea-alternative（non-alternative） and the relative closeness of the ideal alternative to each alternative are defined.Then,an optimized programming based on maximum relative closeness to the alternative is estabUshed to get the fuzzy measure.And then,the intuitionistic fuzzy Choquet integral operator is utilized to compute the intuitionistic fuzzy overall values of each alternative.Based on the the score function and accuracy function of intuitionistic fuzzy numbers,the ranking of alternatives is obtained.Finally,a numerical example is provided to verify the effectiveness and feasibility of the method.
出处
《数学的实践与认识》
北大核心
2016年第17期42-49,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(71561008)
桂林电子科技大学研究生教育创新计划资助项目(YJCXS201553)
