基于R-THIOWGA集成算子的模糊关联多属性群决策方法
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摘要
属性间的关联性破坏了独立多属性决策信息的测度可加性,为了更客观地反映决策者的决策意图,更准确地融合决策信息,同时提升算子对决策属性的描述能力,定义了三角犹豫直觉模糊数新的比较规则,引入模糊测度及Choquet积分定义了三角犹豫直觉模糊关联有序加权几何平均算子(R-THIOWGA),并构建了R-THIOWGA的数学模型,证明了R-THIOWGA幂等性、有序单调性、有界性等算子性质.以R-THIOWGA集成算子为基础,提出了模糊关联多属性问题群决策方法,并应用于我国海军远海维修保障平台选型的算例分析.研究结果表明,应用R-THIOWGA算子及基于R-THIOWGA的群决策方法解决模糊关联多属性决策问题是可行的、有效的.
Relevance among the attributes destroys the additive measure in decision-making with independent fuzzy multiple attributes. In order to express the intention of decision makers and integrate the information of decision more accurately, and improve the ability of the operator to describe the decision attributes, a new comparison rule of the triangular hesitate intuitionistic fuzzy number is presented in this paper, and a related triangular hesitate intuitionistic ordered weighted geometric average(R-THIOWGA) operator is constructed based on the fuzzy measure and Choquet integral. And then the characters, like idempotence, ordered monotonicity and boundedness of the R-THIOWGA are proven. A group decision-making method for questions with related fuzzy multiple attributes is proposed based on the R-THIOWGA and then analysis in a practical application. The results show that the R-THIOWGA operator and the group decision making method are effective and feasible in solving decision making problems with related fuzzy multiple attributes.
Relevance among the attributes destroys the additive measure in decision-making with independent fuzzy multiple attributes. In order to express the intention of decision makers and integrate the information of decision more accurately, and improve the ability of the operator to describe the decision attributes, a new comparison rule of the triangular hesitate intuitionistic fuzzy number is presented in this paper, and a related triangular hesitate intuitionistic ordered weighted geometric average(R-THIOWGA) operator is constructed based on the fuzzy measure and Choquet integral. And then the characters, like idempotence, ordered monotonicity and boundedness of the R-THIOWGA are proven. A group decision-making method for questions with related fuzzy multiple attributes is proposed based on the R-THIOWGA and then analysis in a practical application. The results show that the R-THIOWGA operator and the group decision making method are effective and feasible in solving decision making problems with related fuzzy multiple attributes.
引文
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[2]JOSHI D,KUMAR S.Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making[J].European Journal of Operational Research,2016,248(1):183-191.
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[4]谭旭,吴俊江,毛太田,等.基于三角模糊数犹豫直觉模糊集的多属性智能决策[J].系统工程与电子技术,2017,39(4):829-836.[TAN X,WU J J,MAO T T,et al.Multi-attribute intelligent decision-making method based on triangular fuzzy number hesitant intuitionistic fuzzy sets[J].Systems Engineering and Electronics,2017,39(4):829-836.]
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[6]FERREIRA J M,JALALI M S,FEREIRA F F.Enhancing the decision-making virtuous cycle of ethical banking practices using the Choquet integral[J].Journal of Business Research,2018,7(88):492-497.
[7]谢新连,桑惠云,张扬.一种舰船远海维修保障新方案[J].舰船科学技术,2013,35(12):50-54.[XIE X L,SANG H Y,ZHANG Y.A novel scheme for ship repair support at sea[J].Ship Science and Technology,2013,35(12):50-54.]
[2]JOSHI D,KUMAR S.Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making[J].European Journal of Operational Research,2016,248(1):183-191.
[3]徐泽水.对方案有偏好的三角模糊数型多属性决策方法研究[J].系统工程与电子技术,2002,24(8):9-12.[XU Z S.Study on method for triangular fuzzy numberbased multi-attribute decision making with preference information on alternatives[J].Systems Engineering and Electronics,2002,24(8):9-12.]
[4]谭旭,吴俊江,毛太田,等.基于三角模糊数犹豫直觉模糊集的多属性智能决策[J].系统工程与电子技术,2017,39(4):829-836.[TAN X,WU J J,MAO T T,et al.Multi-attribute intelligent decision-making method based on triangular fuzzy number hesitant intuitionistic fuzzy sets[J].Systems Engineering and Electronics,2017,39(4):829-836.]
[5]LIAO H C,XU Z S,XIA M M.Multiplicative consistency of hesitant fuzzy preference relation and ITSapplication in group decision making[J].International Journal of Information Technology&Decision Making,2014,13(1):47-76.
[6]FERREIRA J M,JALALI M S,FEREIRA F F.Enhancing the decision-making virtuous cycle of ethical banking practices using the Choquet integral[J].Journal of Business Research,2018,7(88):492-497.
[7]谢新连,桑惠云,张扬.一种舰船远海维修保障新方案[J].舰船科学技术,2013,35(12):50-54.[XIE X L,SANG H Y,ZHANG Y.A novel scheme for ship repair support at sea[J].Ship Science and Technology,2013,35(12):50-54.]