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A new risk analysis approach based on linguistic-valued lattice implication algebra

Li Zou, Da Ruan (UGent) , Zheng Pei and Yang Xu
Author
Organization
Abstract
In the framework of the linguistic truth-valued lattice implication algebra, we present a 10-element linguistic-valued lattice implication algebra with linguistic hedges and two antonyms basic words for fuzzy risk analysis. The proposed method better expresses and handles both comparable and incomparable information in risk analysis do-mains. We further discover the operations and special properties of the 10 evaluating linguistic values based on lattice implication algebra. The reasoning and operation are directly acted by the evaluating linguistic values in the risk analysis process. An illustration example shows the proposed approach seems more effective for risk analysis under a fuzzy environment with both comparable and incomparable linguistic values.
Keywords
TRUTH VALUES, FUZZY-LOGIC, HEDGE ALGEBRAS, WORDS, incomparable information, lattice implication algebra, risk analysis, evaluating linguistic values

Citation

Please use this url to cite or link to this publication:

MLA
Zou, Li, et al. “A New Risk Analysis Approach Based on Linguistic-Valued Lattice Implication Algebra.” Advances in Intelligent Systems Research, edited by C Huang et al., Atlantis Press, 2009, pp. 223–27.
APA
Zou, L., Ruan, D., Pei, Z., & Xu, Y. (2009). A new risk analysis approach based on linguistic-valued lattice implication algebra. In C. Huang, J. Wiener, & J. Ni (Eds.), Advances in Intelligent Systems Research (pp. 223–227). Paris, France: Atlantis Press.
Chicago author-date
Zou, Li, Da Ruan, Zheng Pei, and Yang Xu. 2009. “A New Risk Analysis Approach Based on Linguistic-Valued Lattice Implication Algebra.” In Advances in Intelligent Systems Research, edited by C Huang, JB Wiener, and J Ni, 223–27. Paris, France: Atlantis Press.
Chicago author-date (all authors)
Zou, Li, Da Ruan, Zheng Pei, and Yang Xu. 2009. “A New Risk Analysis Approach Based on Linguistic-Valued Lattice Implication Algebra.” In Advances in Intelligent Systems Research, ed by. C Huang, JB Wiener, and J Ni, 223–227. Paris, France: Atlantis Press.
Vancouver
1.
Zou L, Ruan D, Pei Z, Xu Y. A new risk analysis approach based on linguistic-valued lattice implication algebra. In: Huang C, Wiener J, Ni J, editors. Advances in Intelligent Systems Research. Paris, France: Atlantis Press; 2009. p. 223–7.
IEEE
[1]
L. Zou, D. Ruan, Z. Pei, and Y. Xu, “A new risk analysis approach based on linguistic-valued lattice implication algebra,” in Advances in Intelligent Systems Research, Beijing, PR China, 2009, pp. 223–227.
@inproceedings{2918787,
  abstract     = {{In the framework of the linguistic truth-valued lattice implication algebra, we present a 10-element linguistic-valued lattice implication algebra with linguistic hedges and two antonyms basic words for fuzzy risk analysis. The proposed method better expresses and handles both comparable and incomparable information in risk analysis do-mains. We further discover the operations and special properties of the 10 evaluating linguistic values based on lattice implication algebra. The reasoning and operation are directly acted by the evaluating linguistic values in the risk analysis process. An illustration example shows the proposed approach seems more effective for risk analysis under a fuzzy environment with both comparable and incomparable linguistic values.}},
  author       = {{Zou, Li and Ruan, Da and Pei, Zheng and Xu, Yang}},
  booktitle    = {{Advances in Intelligent Systems Research}},
  editor       = {{Huang, C and Wiener, JB and Ni, J}},
  isbn         = {{9789078677345}},
  issn         = {{1951-6851}},
  keywords     = {{TRUTH VALUES,FUZZY-LOGIC,HEDGE ALGEBRAS,WORDS,incomparable information,lattice implication algebra,risk analysis,evaluating linguistic values}},
  language     = {{eng}},
  location     = {{Beijing, PR China}},
  pages        = {{223--227}},
  publisher    = {{Atlantis Press}},
  title        = {{A new risk analysis approach based on linguistic-valued lattice implication algebra}},
  year         = {{2009}},
}

Web of Science
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