[1]李新德,戴先中,孟正大.基于二元等距语言标签的多源定性信息融合方法[J].东南大学学报(自然科学版),2009,39(2):304-308.[doi:10.3969/j.issn.1001-0505.2009.02.022]
 Li Xinde,Dai Xianzhong,Meng Zhengda.Approach of multi-source qualitative information fusion method based on 2-tuple equidistant linguistic labels[J].Journal of Southeast University (Natural Science Edition),2009,39(2):304-308.[doi:10.3969/j.issn.1001-0505.2009.02.022]
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基于二元等距语言标签的多源定性信息融合方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
39
期数:
2009年第2期
页码:
304-308
栏目:
计算机科学与工程
出版日期:
2009-03-20

文章信息/Info

Title:
Approach of multi-source qualitative information fusion method based on 2-tuple equidistant linguistic labels
作者:
李新德 戴先中 孟正大
东南大学自动化学院, 南京 210096; 东南大学复杂工程测量与控制教育部重点实验室,南京 210096
Author(s):
Li Xinde Dai Xianzhong Meng Zhengda
School of Automation, Southeast University, Nanjing 210096,China
Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University, Nanjing 210096,China
关键词:
语言标签 信息融合 定性 不确定推理 二元
Keywords:
linguistic label information fusion qualitative uncertainty reasoning 2-tuple
分类号:
TP30
DOI:
10.3969/j.issn.1001-0505.2009.02.022
摘要:
进一步扩展了Herrera-Martínez的二元等距语言标签表示模型(即扩大集成运算β的范围、改善负运算算子,定义类 Herrera-Martínez的转化函数Δ(·)和逆转换函数Δ(·)等),以便适合不确定信息的定性组合推理.并在此基础上,为了使得二元等距语言标签在定性融合规则中的合理运算,进一步提出二元标签之间的加、减、乘、除等运算算子,以及DSmT(Dezert-Smarandache theory)理论框架下的定性组合规则和冲突分配规则,并给出了归一化证明.最后通过一个简单的例子来表明其优点,即克服了当前其他方法处理定性不确定信息融合的不足:只针对某种特定的不确定,缺乏广泛的适应性; 一元标签定性表示精度不足而导致信息损失严重,缺乏类似定量计算中方便灵活的定性运算算子等.
Abstract:
Herrera-Martínez’ 2-Tuple linguistic representation model for reasoning with qualitative uncertainty in Dezert-Smarandache theory(DSmT)framework is extended, i.e. the scope of β is enlarged, the negation operator is improved, and the translation function Δ(·)and inverse translation function Δ(·)similar to Herrera-Martínez(HM)model are also defined, etc. In order that the 2-tuple equidistant linguistic labels can be computed in qualitative fusion rules, some operators such as addition, subtraction, product and division operator are proposed, respectively. And then, the classical combinational rules and proportional conflict redistribution rule based on these operators are also proposed and testified to be nomorlized, respectively. At last, an example is presented to show the advantage of proposed information fusion method which overcomes the limitations of other current approaches. For other qualitative methods, they are short of the eurytopicity because of only aiming at special uncertainty. And the final result from the fusion of 1-tuple linguistic information is short of precision and flexible operators like quantitative computation etc.

参考文献/References:

[1] Smarandache F,Dezert J. Advances and applications of DSmT for information fusion[M].Rehobot:American Research Press,2006,2.
[2] Dezert J,Smarandache F.A new probabilistic transformation of belief mass assignment[C] //The 11th Int Conf on Information Fusion.Cologne,German,2008:4632376
[3] Herrera F,Martínez L.A 2-tuple fuzzy linguistic representation model for computing with words[J].IEEE Trans on Fuzzy Systems,2000,8(6):746-752.
[4] Herrera F,Martínez L.A model based on linguistic 2-tuples for dealing with multi-granular hierarchical linguistic contexts in multi-expert decision-making[J].IEEE Trans on Systems,Man,and Cybernetics,Part B:Cybernetics,2001,31(2):227-234.
[5] Herrera F,Herrera-Viedma E,Martínez L.A fuzzy linguistic methodology to deal with unbalanced linguistic term sets[J]. IEEE Trans on Fuzzy Systems,2008,16(2):354-370.
[6] Wang J H,Hao J Y.A new version of 2-tuple fuzzy Linguistic representation model for computing with words[J].IEEE Trans on Fuzzy Systems,2006,14(3):435-445.
[7] Wang J H,Hao J Y.An approach to computing with words based on canonical characteristic values of linguistic labels[J]. IEEE Trans on Fuzzy Systems,2007,15(4):593-603.
[8] Li X,Smarandache F,Dezert J,et al.Combination of qualitative information based on 2-Tuple modelings in DSmT framework[J].Journal of Computer Science and Technology,2009.(to appear)
[9] Li X,Huang X,Dezert J,et al.Fusion of qualitative information using imprecise 2-tuple labels[M] // Smarandache F,Dezert J.Advances and Applications of DSmT for Information Fusion.Rehoboth:American Research Press,2009.(in appear)
[10] Smarandache F,Dezert J.Advances and applications of DSmT for information fusion[M].Vol.1.Rehoboth:American Research Press,2004.

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备注/Memo

备注/Memo:
作者简介: 李新德(1975—),男,博士,讲师,xindeli@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(60804063).
引文格式: 李新德,戴先中,孟正大.基于二元等距语言标签的多源定性信息融合方法[J].东南大学学报:自然科学版,2009,39(2):304-308.1
更新日期/Last Update: 2009-03-20