徐迎军

• 1:曲阜师范大学经济学院

摘要(Abstract)：

研究拟广义加权引致有序加权平均算子及其应用.首先把拟广义思想引入加权引致有序加权平均算子,给出拟广义加权引致有序加权平均算子的概念.并分析其具有的单调性、幂等性、有界性、置换不变性等性质.提出了基于拟广义加权引致有序加权平均算子的决策方法,并给出了具体算例分析说明决策方法的有效性和合理性.

关键词(KeyWords)： 有序加权平均算子;加权引致有序加权平均算子;拟广义加权引致OWA算子

Abstract:

Keywords:

基金项目(Foundation): 国家社科基金资助项目(18BJY153)

作者(Author): 徐迎军

DOI: 10.16393/j.cnki.37-1436/z.2021.05.002

参考文献(References)：

• [1]谢海滨，陈迪三，梁燕燕．一般梯形模糊逼近算子及其在模糊运输问题中的应用[J]．运筹学学报，2017,21(1):65-77．
• [2]潘瑞，袁宏俊．基于广义ICOWA算子和最大-最小贴近度的区间型组合预测模型[J]．菏泽学院学报，2017,39(2):12-18．
• [3]韩莉莉，魏翠萍．基于单值中智集Choquet积分算子的群决策方法[J]．运筹学学报，2017,21(2):110-118．
• [4]Harsanyi J C.Cardinal welfare,individualistic ethics,and interpersonal comparisons of utility[J].Journal of Political Economy,1955,63(4):309-321．
• [5]Yager R R.On ordered weighted averaging aggregation operators in multi-criteria decision making[J].IEEE Transactions Systems,Man,Cybernetics:Systems,1988,18(1):183-190．
• [6]Xu Z S,Da Q L.The ordered weighted geometric averaging operators[J].International Journal of Intelligent Systems,2002,17(7):709-716．
• [7]Chiclana F,Herrera F,Herrera-Viedma E.Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations[J].Fuzzy Sets and Systems,2001,122(2):277-291．
• [8]Fodor J,Marichal J L,Roubens M.Characterization of the ordered weighted averaging operators[J].IEEE Transactions on Fuzzy Systems,1995,3(2):236-240．
• [9]Mitchell H B,Estrakh D D.A modified OWA operator and its use in lossless DPCM image compression[J].International Journal of Uncertainty,Fuzziness,Knowledge Based Systems.1997,5(4):429-436．
• [10]Yager R R,Filev D P.Induced ordered weighted averaging operators[J].IEEE Trans System Man Cybernet B,1999,29(2):141-150．
• [11]Chiclana F,Herrera-Viedma E,Herrera F,et al.Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations[J].European Journal of Operational Research,2007,182(1):383-399．
• [12]Merigo J M,Casanovas M.Induced aggregation operators in decision making with the Dempster-Shafer belief structure[J].International Journal of Intelligent Systems,2009,24(2):934-954．
• [13]Yager R R.Generalized OWA aggregation operators[J].Fuzzy Optimization and Decision Making,2004,3(1):93-107．
• [14]Merigo J M,Gil-Lafuente A M.The induced generalized OWA operator[J].Information Science,2009,179(6):729-741．
• [15]MerigóJ M,Gil-Lafuente A M,Gil-Aluja J.Decision making with the induced generalized adequacy coefficient[J].Applied and Computational Mathematics,2011,10(2):321-339．
• [16]Merigo J M,Gil-Lafuente A M.New decision-making techniques and their application in the selection of financial products[J].Information Sciences,2010,180(11):2085-2094．
• [17]MerigóJ M,Lobato-Carral C,Carrilero-Castillo A.Decision making in the European Union under risk and uncertainty[J].European Journal of International Management,2012,6(5):590-609．
• [18]Aggarwal M.Compensative weighted averaging aggregation operators[J].Applied Soft Computing,2015a(28):368-378．
• [19]Aggarwal M.Generalized compensative weighted averaging aggregation operators[J].Computers&Industrial Engineering,2015b(87):81-90．
• [20]Aggarwal M.A new family of induced OWA operators[J].International Journal of Intelligent Systems,2015c,30(2):170-205．
• [21]Yager R R.On generalized measures of realization in uncertain environments[J].Theory and Decision,1992(33):41-69．
• [22]Yager R R,Abbasov A M.Pythagorean membership grades,complex numbers and decision making[J].International Journal of Intelligent Systems,2013,28(5):436-452.