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多粒度区间语言信息的C-OWH算子及其应用
引用本文:刘兮,陈华友,周礼刚.多粒度区间语言信息的C-OWH算子及其应用[J].运筹与管理,2012,21(2):14-22.
作者姓名:刘兮  陈华友  周礼刚
作者单位:安徽大学数学科学学院,安徽合肥,230039
基金项目:国家自然科学基金资助项目,安徽大学人才队伍建设资助项目,安徽大学创新团队资助项目,安徽大学青年基金资助项目,安徽大学研究生创新项目
摘    要:研究了多粒度区间语言信息的集成问题,把连续的有序加权调和(C-OWH)平均算子拓展到多粒度区间语言环境中,提出了连续区间二元语义OWH(ITC-OWH)算子,并在此基础上提出了加权调和的ITC-OWH(WHITC-OWH)算子,有序加权调和的ITC-OWH(OWHITC-OWH)算子以及组合的ITC-OWH(CITC-OWH)算子,探讨了它们的一些性质。最后给出了基于这些算子的多粒度区间语言多属性群决策方法,实例分析结果表明该方法是可行的。

关 键 词:多属性群决策  多粒度  区间二元语义信息  C-OWH算子

Continuous Ordered Weighted Harmonic(C-OWH) Averaging Operators for Multi-granularity Interval Linguistic Information and Its Applications
LIU Xi , CHEN Hua-you , ZHOU Li-gang.Continuous Ordered Weighted Harmonic(C-OWH) Averaging Operators for Multi-granularity Interval Linguistic Information and Its Applications[J].Operations Research and Management Science,2012,21(2):14-22.
Authors:LIU Xi  CHEN Hua-you  ZHOU Li-gang
Institution:(School of Mathematical Science,Anhui University,Hefei 230039,China)
Abstract:The problem of multi-granularity interval linguistic information aggregation is studied.The continuous ordered weighted harmonic(C-OWH)averaging operator is extended to accommodate multi-granularity interval linguistic environment.In this paper,we proposea continuous interval two-tuple OWH(ITC-OWH)operator.Based on ITC-OWH operator,some new operators are proposed,such as weighted harmonic ITC-OWH(WHITC-OWH)operator,ordered weighted harmonic ITC-OWH(OWHITC-OWH)operator,combined ITC-OWH(CITC-OWH)operator,and we discuss some properties of these operators.Finally an approach for multi-granularity interval linguistic multi-attribute group decision-making is developed based on these operators.The results of an example show that the method proposed in this paper is feasible.
Keywords:multi-attribute group decision-making  multi-granularity  interval two-tuple linguistic information  C-OWH operator
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