[1]蔡玫,刘新旺.基于数值模拟的语言计算方法[J].东南大学学报(自然科学版),2011,41(5):1109-1113.[doi:10.3969/j.issn.1001-0505.2011.05.040]
 Cai Mei,Liu Xinwang.An approach to computing with words based on numerical scale[J].Journal of Southeast University (Natural Science Edition),2011,41(5):1109-1113.[doi:10.3969/j.issn.1001-0505.2011.05.040]
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基于数值模拟的语言计算方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
41
期数:
2011年第5期
页码:
1109-1113
栏目:
经济与管理
出版日期:
2011-09-20

文章信息/Info

Title:
An approach to computing with words based on numerical scale
作者:
蔡玫12刘新旺1
(1 东南大学经济管理学院, 南京 210096)
(2 南京信息工程大学经济管理学院, 南京 210044)
Author(s):
Cai Mei12Liu Xinwang1
(1 School of Economics and Management, Southeast University, Nanjing 210096, China)
(2 School of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China)
关键词:
数值模拟语言计算特征值标准方差
Keywords:
numerical scale computing with words(CWW) canonical characteristic values(CCV) standard deviation
分类号:
C934;N94
DOI:
10.3969/j.issn.1001-0505.2011.05.040
摘要:
为了描述模糊信息并建立模糊逻辑,研究了基于扩展原理和符号化模型的语言计算方法,提出基于数值模拟的对称分布语言变量表示及计算模型.该模型用特征值和标准方差二维数值反映语言的共性和特性.为了扩大运用范围,针对用任意三角模糊数表示的语言变量,提出基础语言集的寻找方法,以实现语言变量统一,完成模糊语言之间的逻辑运算.在此基础上给出基于数值模拟表示方法的语言计算规则,并证明其正确性.该方法将隶属度函数包含的信息模拟成数值,不仅保留了语言的模糊性信息,而且实现了符号化语言的便捷性,有助于模糊推理和模糊决策.
Abstract:
In order to describe fuzzy information and establish fuzzy logic, this paper studies an approach to computing with words based on extension principle and linguistic symbolic computational models. Numerical scale fuzzy linguistic representation and computational models are given. In this model, canonical characteristic value and standard deviation are used to reflect the common and special characters of words. In order to enlarge the range of application, an approach to building basic linguistic term sets is given to unify arbitrary linguistic labels to complete simple arithmetic operation on two-dimensional numbers. Computing with words can be done through computing with numerical values. The rule of computing with words is given and its correctness is proved. This method of transforming words into numerical values preserves the vagueness of words, and realizes the convenience of symbolic computational models. It is helpful for fuzzy reasoning and fuzzy decision making.

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备注/Memo

备注/Memo:
作者简介:蔡玫(1980—),女,博士生;刘新旺(联系人),男,博士,教授,博士生导师,xwliu@seu.edu.cn.
基金项目:国家自然科学基金资助项目(70771025).
引文格式: 蔡玫,刘新旺.基于数值模拟的语言计算方法[J].东南大学学报:自然科学版,2011,41(5):1109-1113.[doi:10.3969/j.issn.1001-0505.2011.05.040]
更新日期/Last Update: 2011-09-20