语言值区间二元组能量平均算子及其应用

山东大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (1): 115-122.

语言值区间二元组能量平均算子及其应用

晏力,阮艳丽,裴峥*

西华大学数学与计算机学院, 四川成都 610039

收稿日期:2012-12-05 出版日期:2013-02-20 发布日期:2012-12-05
通讯作者: 裴峥(1968- ),男,陕西榆林人,教授,博士,主要研究方向为逻辑代数与智能信息处理. E-mail:zhengpei@mail.xhu.edu.cn
作者简介:晏力(1979- ),女,四川成都人,讲师,硕士,主要研究方向为语言决策方法. E-mail:pqyz@263.net
基金资助:
国家自然科学基金资助项目(61175055);四川省科技支撑计划资助项目(2012GZ0019,2011FZ0051)

Linguistic interval 2-tuple power average operator and its application

YAN Li, RUAN Yan-li, PEI Zheng*

School of Mathematics and Computer, Xihua University, Chengdu 610039, China

Received:2012-12-05 Online:2013-02-20 Published:2012-12-05

摘要/Abstract

摘要：

针对决策中的不确定性,提出了语言值区间二元组表示和语言值区间二元组能量平均(LI2TPA)算子,讨论了该语言聚合算子的性质。在LI2TPA算子中,分析了被聚合对象之间的相互支持测度,所以该算子可减弱过高或过低语言评价值对综合语言评价结果的影响,实例说明了LI2TPA算子在语言决策中的有效性。

关键词: 多准则决策, 语言值区间二元组, 语言值区间二元组能量平均(LI2TPA)算子, 支持测度

Abstract:

Due to the uncertainty of decision making, a linguistic interval 2-tuple representation and a linguistic interval 2-tuple power average (LI2TPA) operator were proposed, and some desired properties of the developed operator were also studied. Because the support measure between two aggregated objects was analyzed in LI2TPA operator, this operator could relieve the influence of unduly high or unduly low evaluation values on the collective linguistic evaluation result. A numerical example showed the effectiveness of the new operator in linguistic decision making.

Key words: multiple criteria decision making, linguistic interval 2-tuple, linguistic interval 2-tuple power average (LI2TPA) operator, support measure

中图分类号:

C934

晏力,阮艳丽,裴峥*. 语言值区间二元组能量平均算子及其应用[J]. 山东大学学报(工学版), 2013, 43(1): 115-122.

YAN Li, RUAN Yan-li, PEI Zheng*. Linguistic interval 2-tuple power average operator and its application[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(1): 115-122.

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