Qualitative reasoning by computing with words in Herrera-Martínez’s linguistic model

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• 作者：Xinde Li (1)
  Xianzhong Dai (1)
  
• 关键词：Information fusion ; Qualitative reasoning under uncertainty ; Dezert ; smarandache Theory (DSmT) ; 2 ; Tuple linguistic label ; TP391.4
• 刊名：Journal of Electronics (China)
• 出版年：2009
• 出版时间：July 2009
• 年：2009
• 卷：26
• 期：4
• 页码：564-570
• 全文大小：170KB
• 参考文献：1. F. Smarandache and J. Dezert (Editors). Advances and Applications of DSmT for Information Fusion (Collected works). American Research Press, Rehoboth, 2006, Vol.2, Ch.1 and Ch.10. http://www.gallup.unm.edu/~smarandache/DSmT-book2.pdf.
  2. J. Dezert and F. Smarandache. A new probabilistic transformation of belief mass assignment. The 11th International Conference on Information Fusion, Cologne, Germany, June 30–July 3, 008, 1-.
  3. F. Herrera and L. Martínez. A 2-Tuple fuzzy linguistic representation model for computing with words. / IEEE Transactions on Fuzzy Systems, 8(2000)6, 746-52. CrossRef
  4. X. Li, X. Huang, J. Dezert, and F. Smarandache. Enrichment of qualitative beliefs for reasoning under uncertainty. The 10th International Conference on Information Fusion, Québec, QC, Canada, July 09-2, 2007, 1-.
  5. F. Smarandache and J. Dezert (Editors). Advances and Applications of DSmT for Information Fusion (Collected works). American Research Press, Rehoboth, 2004, Chs.1-. http://www.gallup.unm.edu/~smarandache/DSmT-book1.pdf.
  6. G. Shafer. A Mathematical Theory of Evidence. Princeton, NJ, Princeton University Press, 1976, 1-97.
  7. F. Smarandache and J. Dezert. Information fusion based on new proportional conflict redistribution rules. The 8th International Conference on Information Fusion, Philadelphia, PA, USA, July 25-8, 2005, 1-.
  8. F. Smarandache and J. Dezert (Editors). Qualitative belief conditioning rules (QBCR). The 10th International Conference on Information Fusion, Québec, QC, Canada, July 09-2, 2007, 225-32.
  
• 作者单位：Xinde Li (1)
  Xianzhong Dai (1)
  
  1. School of Automation, Southeast University, Nanjing, 210096, China
  
• ISSN：1993-0615

文摘

Most of modern systems for information retrieval, fusion and management have to deal with more and more qualitative information (by linguistic labels) besides information expressed quantitatively (by numbers), since human reports are better and easier expressed in natural language than with numbers. In this paper, Herrera-Martínez’s 2-Tuple linguistic representation model is extended for reasoning with uncertain and qualitative information in Dezert-Smarandache Theory (DSmT) framework, in order to overcome the limitations of current approaches, i.e., the lack of precision in the final results of linguistic information fusion according to 1-Tuple representation (q 1). The linguistic information which expresses the expert’s qualitative beliefs is expressed by means of mixed 2 Tuples (equidistant linguistic labels with a numeric biased value). Together with the 2-Tuple representation model, some basic operators are presented to carry out the fusion operation among qualitative information sources. At last, through simple example how 2-Tuple qualitative DSmT-based (q 2 DSmT) fusion rules can be used for qualitative reasoning and fusion under uncertainty, which advantage is also showed by comparing with other methods.