基于置信语言直觉模糊GMSM的决策

Decision Making Based Upon Confidence Linguistic Intuitionistic Fuzzy Generalized Maclaurin Symmetric Mean

专家对方案的决策信息不一定完全熟悉,由于决策信息的复杂性,因而考虑了专家对方案的熟悉程度(置信水平)在语言直觉模糊数环境中。方案的属性之间可能存在一定的关联性,generalized Maclaurin symmetric mean(GMSM)可以考虑方案属性之间的相互关联,它是Maclaurin symmetric mean(MSM)的扩展。为此,提出了置信语言直觉模糊Maclaurin symmetric mean(CLIFGMSM)和置信语言直觉模糊加权Maclaurin symmetric mean(CLIFWGMSM),同时给出算子的性质。最后介绍了基于CLIFWGMSM的一种新的决策方法,运用到实例与已有的方法进行了比较,得出了新方法要比已有的方法在决策问题中更加切实可行。

Experts are not fully familiar with the decision information of alternatives due to the complexity of the decision information,so experts’familiarity for alternatives(confidence levels)is considered in the Linguistic Intuitionistic fuzzy number environment.There may be correlation between the attributes of alternatives.Generalized Maclaurin symmetric mean can consider correlation between the attributes of alternatives,which is an extension of Maclaurin symmetric mean.So,the Confidence Linguistic Intuitionistic Fuzzy Generalized Maclaurin Symmetric Mean(CLIFGMSM)and Confidence Linguistic Intuitionistic Fuzzy Weighted Generalized Maclaurin Symmetric Mean(CLIFWGMSM)are proposed and the properties of operators are given.Finally,a new decision-making method based on CLIFWGMSM is introduced.Compared with the existing methods,it is concluded that the proposed methods are more feasible than the existing methods in decision-making problems.