内容利用经典数学处理多属性绿色行为决策时,通常假定属性及属性信 息源联盟,有序位置及有序位置联盟之间是独立的,并且Chqouet积分在处理其独立性时只考虑了 属性及属性信息源联盟、有序位置及有序位置联盟之间的一种,没有同时考虑这两种情况,有悖于 实际应用,为此,提出了考虑属性及属性信息源联盟之间相互依赖的区间值对偶犹豫模糊多属性决策 方法.首先,基于传统的信息集成算子,定义了诱导广义区间值对偶犹豫模糊夏普利混合加权平均算 子,证明了其正确性;其次,结合Shapley 值给出了一种属性和有序位置权重均为未知的混合型多属性决策模型,基于模糊属性的相似性 测度构建了区间值对偶犹豫模糊测度目标规划模型,进而提出了一种方案的属性评价信息和属性权 重相关的均以区间值对偶犹豫数信息源表示的多属性决策方法;最后,通过模糊环境下的企业绿色行为 选择问题算例的比较说明了该方法的可行性和有效性.分析结果表明,考虑信息源相关的区间值对 偶犹豫模糊决策结果不仅符合人的主观心理,同时增强了Shapley 值的表示范围.

When classical mathematics is applied to green environmental behavior decision making, it is often supposed that information sources with single attribute value, attribute coalition, ordered position and ordered position coalition are independent which is too strong to match decision behaviors in the real world. For real decision making problems, there is always some degree of inter-dependent characteristics between attributes. Usually, there is interaction among preference of decision makers. The Choquet integral only reflects the interaction between two adjacent coalitions. Furthermore, the Choquet integral can either give the importance of elements or that of ordered positions, but it cannot both consider these two aspects. This paper studies the problem for choosing corporate green behavior and proposes a multi attribute decision-making method in which attribute assessments and attribute weight is given in the forms of interval-valued dual hesitant fuzzy assessments. Firstly, the induced generalized interval-valued dual hesitant fuzzy Shapley hybrid weighted averaging (IG-IVDHFSHWAO) operator is proposed and the hybrid multiple attribute decision-making problem is studied. The operator focus on the importance of interval-valued dual hesitant fuzzy elements and their ordered positions, Furthermore, models for the optimal fuzzy measures are established with partial weight of attribute and ordered position, respectively. A method to interval-valued dual hesitant fuzzy information sources multi-attribute decision making under uncertain interval-valued dual hesitant fuzzy information is studied. Secondly, an new non-additive fuzzy measure multi-objective programming (IFMOP) model is proposed with the fuzzy similarity measure. Finally, a practical completive example is provided to illustrate the developed approach. The results of the study show that considering the interdependence between information sources with attributes and ordered positions will make the green corporate environmental behavior choosing decision-making more objective and scientific, as well as expanded the scope of the Shapley independence characteristics on dual hesitant fuzzy information sources.