Analytical Solution Method for the Linguistic Weighted Average Problem

摘要：

　　The linguistic weighted average (LWA) is an extension of the fuzzy weighted average (FWA).The process of solving LWA can be divided into steps of solving two FWAs.Currently, the commonly used method of FWA is based on α-cut decomposition,which discretizes the ”0, 1” interval into several α-cuts and then computes each α-cut as an interval weighted average.However, this method involves large amount of calculations, and the result for LWA is not accurate.In this paper, we adopt a new algorithm, analytical solution methods, which is more accurate and efficient.At the end of this paper, we present a numerical example to illustrate the algorithm.

关键词： LWA FWA discrete α-cut KM algorithm analytical solution method

作者: Li Na Liu Xinwang

作者单位: Southeast University,Nanjing,210096

会议类型: 国内会议

会议名称: 第九届中国不确定系统年会、第五届中国智能计算大会、第十三届中国青年信息与管理学者大会

会议地点: 南京

会议语种:英文

页码: 112-127

在线出版日期: 2011-07-27（万方平台首次上网日期，不代表论文的发表时间）