区间值加权缪尔海德平均算子及其在感知服务质量评价中的应用
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摘要
在感知服务质量评价研究中,仅采用实数表达评价信息以及忽视评价指标之间的相互作用与实践需要不符,已有评价方法也难以适用区间值表示的信息。本文针对传统缪尔海德平均(MM)算子集结的数据类型存在局限性,将缪尔海德平均算子的应用拓展到区间值,提出了区间值加权缪尔海德平均算子(IVWMM),并设计了一种基于区间值加权缪尔海德平均算子的感知服务质量评价方法。通过实例分析,验证了区间值加权缪尔海德平均算子的有效性,为感知服务质量评价的实证研究创新提供了借鉴。
In the research of perceived service quality evaluation,only express the evaluation information with real numbers and ignore interaction between evaluation indexes do not meet practical needs.The existing evaluation methods are difficult to apply the information expressed by interval values.Aim at the limitation of aggregation data type using traditional Muirhead mean(MM)operator,the application of Muirhead mean operator is extended to interval value in this paper.Interval value weighted Muirhead mean(IVWMM)operator is proposed,and a perceived service quality evaluation method based on interval value weighted Muirhead mean operator is designed.Finally,an example is given.It not only verifies the validity of interval weighted Muirhead mean operator,but also provides reference for the empirical research innovation of perceived service quality evaluation.
In the research of perceived service quality evaluation,only express the evaluation information with real numbers and ignore interaction between evaluation indexes do not meet practical needs.The existing evaluation methods are difficult to apply the information expressed by interval values.Aim at the limitation of aggregation data type using traditional Muirhead mean(MM)operator,the application of Muirhead mean operator is extended to interval value in this paper.Interval value weighted Muirhead mean(IVWMM)operator is proposed,and a perceived service quality evaluation method based on interval value weighted Muirhead mean operator is designed.Finally,an example is given.It not only verifies the validity of interval weighted Muirhead mean operator,but also provides reference for the empirical research innovation of perceived service quality evaluation.
引文
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[4]Jahanshahloo G R,Lotfi F H,Izadikhah M.An Algorithmic Method to Extend TOPSIS for Decision-making Problems with Interval Data[J].Applied Mathematics & Computation,2006,175(2):1375～1384.
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[17]曾文艺,罗承忠,肉孜阿吉.区间数的综合决策模型[J].系统工程理论与实践,1997,17(11):48～50.
[18]李德清,谷云东.一种基于可能度的区间数排序方法[J].系统工程学报,2008,23(2):243～246.
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[20]Bonferroni C.Sulle Medie Multiple Di Potenze[J].Bolletino Matematica Italiana,1950,5(3):267～270.
[21]Maclaurin C.A Second Letter to Martin Folkes,Esq.;Concerning the Roots of Equations,with the Demonstration of Other Rules in Algebra[J].Philos.Trans,1729(36):59～96.
[2]Muirhead R F.Some Methods Applicable to Identities and Inequa-lities of Symmetric Algebraic Functions of n Letters[J].Procee-dings of the Edinburgh Mathematical Society,1902,21:144～162.
[3]Qin J D,Liu X.2-tuple Linguistic Muirhead Mean Operators for Multiple Attribute Group Decision Making and Its Application to Supplier Selection[J].Kybernetes,2016,45(1):2～29.
[4]Jahanshahloo G R,Lotfi F H,Izadikhah M.An Algorithmic Method to Extend TOPSIS for Decision-making Problems with Interval Data[J].Applied Mathematics & Computation,2006,175(2):1375～1384.
[5]Gr?nroos C.An Applied Service Marketing Theory[J].European Journal of Marketing,1993,16(7):30～41.
[6]Brady M K,Jr J J C.Some New Thoughts on Conceptualizing Perceived Service Quality:A Hierarchical Approach[J].Journal of Marketing,2001,65(3):34～49.
[7]Ko Y J,Pastore D L.Current Issues and Conceptualizations of Service Quality in the Recreation Sport Industry[J].Sport Marketing Quarterly,2004,13(3):158～166.
[8]Parasuraman A,Zeithaml V A,Berry L L.SERVQUAL:A Multiple-item Scale for Measuring Consumer Perceptions of Service Quality[J].Journal of Retailing,1988,64(1):12～40.
[9]Cronin J J,Taylor S A.Measuring Service Quality:A Reexamination and Extension[J].Journal of Marketing,1992,56(3):55～68.
[10]杜建国,王冰洁,黄后庆.基于拓展OWA算子的商业银行服务质量评价[J].统计与决策,2011,(22):141～143.
[11]朱庆华,孙霄凌,曹银美.用户感知视角下的移动位置服务质量要素研究[J].情报杂志,2014,33(5):175～182.
[12]曹尚卿.高校图书馆外文图书服务质量综合评价的实证研究[J].图书情报工作,2011,55(S2):229～231.
[13]崔哲浩.星级饭店内部服务质量模型、测度的实证研究[J].旅游学刊,2010,25(1):77～81.
[14]郭云鹏,徐宝祥.基于重要-满意象限法的高校图书馆服务质量评价[J].情报科学,2014,32(12):93～97,104.
[15]Sengupta A,Pal T K.On Comparing Interval Numbers[J].European Journal of Operational Research,2000,127(1):28～43.
[16]Moore R,Lodwick W.Interval Analysis and Fuzzy Set Theory[J].Fuzzy Sets & Systems,2003,135(1):5～9.
[17]曾文艺,罗承忠,肉孜阿吉.区间数的综合决策模型[J].系统工程理论与实践,1997,17(11):48～50.
[18]李德清,谷云东.一种基于可能度的区间数排序方法[J].系统工程学报,2008,23(2):243～246.
[19]高峰记.可能度及区间数综合排序[J].系统工程理论与实践,2013,33(8):2033～2040.
[20]Bonferroni C.Sulle Medie Multiple Di Potenze[J].Bolletino Matematica Italiana,1950,5(3):267～270.
[21]Maclaurin C.A Second Letter to Martin Folkes,Esq.;Concerning the Roots of Equations,with the Demonstration of Other Rules in Algebra[J].Philos.Trans,1729(36):59～96.