基于可信度的基本不确定区间犹豫模糊广义TODIM应急群决策方法

Generalized TODIM emergency group decision making method for basic uncertain information interval-valued hesitant fuzzy set based on reliability degree

针对应急决策环境所存在的信息不完备、认知不足等问题,区间犹豫模糊集能充分表达决策者在信息评价时的犹豫性和模糊性,但随着研究的深入,发现其存在无法保证信息质量的缺陷.为此,提出更符合实际决策需求、信息表达更加灵活的基本不确定区间犹豫模糊集,其为包含区间犹豫模糊集和确定度的二维信息集.在此基础上,定义基本不确定区间犹豫模糊加权平均算子、犹豫度及可信度,提出基于可信度的专家权重调整方法和属性权重确定方法,充分考虑了决策专家提供评价信息的可靠程度.最后,将广义TODIM方法拓展到基本不确定区间犹豫模糊环境,通过应急决策案例验证所提方法的可行性,并利用灵敏度分析和对比分析验证该方法的稳定性和有效性.

Aiming at the problems of incomplete information and insufficient cognition under an emergency decision-making environment,the interval-valued hesitant fuzzy sets can fully express the hesitation and fuzziness of decision-makers in the information evaluation process.However,with the deepening of research,it is found that it has the defect of being unable to ensure the quality of information.Therefore,this paper proposes a concept of basic uncertain information interval-valued hesitant fuzzy sets,which is more flexible in expressing decision information and more consistent with the requirements of practical decision.It is two-tuple information set containing an interval-valued hesitant fuzzy set and its certainty degree.On this basis,the basic uncertain information interval-valued hesitant fuzzy weighted average operator,hesitance degree,and reliability degree are defined,and then the expert weights adjustment method and attribute weights determination method based on reliability degree are proposed,which fully consider the reliability of the evaluation information provided by the experts.Finally,the generalized TODIM method is extended to the basic uncertain information interval-valued hesitant fuzzy environment.The feasibility of the proposed method is proved by a case of emergency decision-making,and the stability and effectiveness of the proposed method are verified by sensitivity analysis and comparative analysis.