The score function and aggregation operator provide the theoretical basis for intuitionistic fuzzy multiple attribute decision making(MADM),where the role of the score function is to compare and rank the intuitionisti...The score function and aggregation operator provide the theoretical basis for intuitionistic fuzzy multiple attribute decision making(MADM),where the role of the score function is to compare and rank the intuitionistic fuzzy numbers(IFNs),and the role of the aggregation operator is to integrate the evaluation information.In view of that,this paper proposes a new score function and aggregation operator,and a new intuitionistic fuzzy MADM method.It first constructs a parametric piecewise score function and discusses the influence of hesitancy degree and the parameterλon it.Moreover,some properties of the constructed score function are discussed,including the monotonicity,maximum,minimum,and range.Then,it introduces a intuitionistic fuzzy modified Einstein aggregation(IFMEWA)operator and proves monotonicity,idempotency and boundedness of IFMEWA operator.Finally,combined with the constructed score function and IFMEWA operator,it proposes a new intuitionistic fuzzy MADM method.展开更多
基金supported by the National Natural Science Foundation of China[grant number 11401494]the Postdoctoral Science Foundation of China[grant number 2016M592682]+2 种基金the Sichuan Science and Technology Program[grant number 2022YFQ0012]the Young Scholars Development Fund of Southwest Petroleum University[grant number 202199010062]the Scientific Research Starting Project of Southwest Petroleum University[grant number 2021QHZ020].
文摘The score function and aggregation operator provide the theoretical basis for intuitionistic fuzzy multiple attribute decision making(MADM),where the role of the score function is to compare and rank the intuitionistic fuzzy numbers(IFNs),and the role of the aggregation operator is to integrate the evaluation information.In view of that,this paper proposes a new score function and aggregation operator,and a new intuitionistic fuzzy MADM method.It first constructs a parametric piecewise score function and discusses the influence of hesitancy degree and the parameterλon it.Moreover,some properties of the constructed score function are discussed,including the monotonicity,maximum,minimum,and range.Then,it introduces a intuitionistic fuzzy modified Einstein aggregation(IFMEWA)operator and proves monotonicity,idempotency and boundedness of IFMEWA operator.Finally,combined with the constructed score function and IFMEWA operator,it proposes a new intuitionistic fuzzy MADM method.
