基于Pythagorean模糊非线性规划及其在群决策中的应用
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摘要
考虑Pythagorean模糊数在应用领域的优越性和广泛性,提出一种Pythagorean模糊非线性规划模型,并研究其在模糊多属性群决策中的应用。提出一种基于Pythagorean模糊非线性规划的群决策专家权重模型和属性权重模型,给出一种Pythagorean模糊非线性规划的模糊多属性群决策方法,并以航空公司机型选择为例说明了该方法的可行性和有效性。
In view of the superiority and extensiveness of Pythagorean fuzzy numbers in the application field,a Pythagorean fuzzy nonlinear programming model was presented,and its application in fuzzy multi-attribute group decision making was studied.Firstly,a group decision expert weight model and attribute weight model based on Pythagorean fuzzy nonlinear programming were proposed.Then,a fuzzy multi-attribute group decision making method based on Pythagorean fuzzy nonlinear programming model was presented.Finally,the aircraft type selection was taken as an example to illustrate the feasibility and effectiveness of the new method.
In view of the superiority and extensiveness of Pythagorean fuzzy numbers in the application field,a Pythagorean fuzzy nonlinear programming model was presented,and its application in fuzzy multi-attribute group decision making was studied.Firstly,a group decision expert weight model and attribute weight model based on Pythagorean fuzzy nonlinear programming were proposed.Then,a fuzzy multi-attribute group decision making method based on Pythagorean fuzzy nonlinear programming model was presented.Finally,the aircraft type selection was taken as an example to illustrate the feasibility and effectiveness of the new method.
引文
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[2]ATANASSOV K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20:87-96.
[3]YAGER R R.Pythagorean membership grades in multicriteria decision making[J].IEEE Transactions on Fuzzy Systems,2014,22(4):958-965.
[4] ZHANG X,XU Z S.Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets[J].International Journal of Intelligent Systems,2014,29:1061-1078.
[5]GARG H.A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem[J].Journal of Intelligent & Fuzzy Systems,2016,31(1):529-540.
[6]GARG H.A novel correlation coefficients between Pythagorean fuzzy sets and its applications to decision making processes[J].International Journal of Intelligent Systems,2016,31(12):1234-1252.
[7]刘卫锋,杜迎雪,常娟.毕达哥拉斯模糊交叉影响集成算子及其决策应用[J].控制与决策,2017,32(6):1033-1040.
[8]丁恒,李延来.基于毕达哥拉斯模糊幂加权平均算子的多属性群决策方法[J].计算机工程与应用,2018(5):1-6.
[9]孟波.有限方案模糊多目标决策方法的研究[J].系统工程,1995,13(4):43- 46.
[10]孟波,付微.一种有限方案多目标群决策方法[J].系统工程,1998,16(4):57-61.
[11]胡毓达,田川.求解群体多指标决策问题的偏爱度法[J].系统工程理论与实践,1996(3):52-56.
[12]宋光兴,邹平.多属性群决策中决策者权重的确定方法[J].系统工程,2001,19(4):84-89.
[13]徐泽水.几类多属性决策方法研究[D].南京:东南大学,2002.
[14]徐泽水.多属性决策的两种方差最大化方法[J].管理工程学报,2002,15(2):11-14.
[15]HWANG C L,YOON K.Multiple attribute decisionmaking and applications[M].New York:Springer-Verlag,1981.
[16]XU Z S,CAI X Q.Intuitionistic fuzzy information aggregation:theory and applications[M].Beijing:Science Press,2012:286-294.
[17]陈华友.运筹学[M].北京:人民邮电出版社,2015:229-230.