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A linguistic-valued lattice implication algebra approach for risk analysis

Li Zou, Da Ruan (UGent) , Zheng Pei and Yang Xu
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Abstract
In the framework of the linguistic truth-valued lattice implication algebra, we present a linguistic-valued lattice implication algebra approach for risk analysis. The approach is based on a 10-element lattice with five linguistic hedges and two antonyms basic words. The proposed method better expresses and handles both comparable and incomparable information in risk analysis domains. The operations and special properties of the 10 evaluating linguistic values are discussed by their lattice implication algebra, which are suitable for expressing semantics of the 10 evaluating linguistic values as well as their logical characters. 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
incomparable linguistic values, HEDGE ALGEBRAS, risk analysis, Evaluating linguistic values, lattice implication algebra, FUZZY-LOGIC, TRUTH VALUES, NUMBERS, WORDS

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

MLA
Zou, Li, et al. “A Linguistic-Valued Lattice Implication Algebra Approach for Risk Analysis.” JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, vol. 17, no. 4, 2011, pp. 293–303.
APA
Zou, L., Ruan, D., Pei, Z., & Xu, Y. (2011). A linguistic-valued lattice implication algebra approach for risk analysis. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 17(4), 293–303.
Chicago author-date
Zou, Li, Da Ruan, Zheng Pei, and Yang Xu. 2011. “A Linguistic-Valued Lattice Implication Algebra Approach for Risk Analysis.” JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING 17 (4): 293–303.
Chicago author-date (all authors)
Zou, Li, Da Ruan, Zheng Pei, and Yang Xu. 2011. “A Linguistic-Valued Lattice Implication Algebra Approach for Risk Analysis.” JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING 17 (4): 293–303.
Vancouver
1.
Zou L, Ruan D, Pei Z, Xu Y. A linguistic-valued lattice implication algebra approach for risk analysis. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING. 2011;17(4):293–303.
IEEE
[1]
L. Zou, D. Ruan, Z. Pei, and Y. Xu, “A linguistic-valued lattice implication algebra approach for risk analysis,” JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, vol. 17, no. 4, pp. 293–303, 2011.
@article{5836445,
  abstract     = {{In the framework of the linguistic truth-valued lattice implication algebra, we present a linguistic-valued lattice implication algebra approach for risk analysis. The approach is based on a 10-element lattice with five linguistic hedges and two antonyms basic words. The proposed method better expresses and handles both comparable and incomparable information in risk analysis domains. The operations and special properties of the 10 evaluating linguistic values are discussed by their lattice implication algebra, which are suitable for expressing semantics of the 10 evaluating linguistic values as well as their logical characters. 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}},
  issn         = {{1542-3980}},
  journal      = {{JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING}},
  keywords     = {{incomparable linguistic values,HEDGE ALGEBRAS,risk analysis,Evaluating linguistic values,lattice implication algebra,FUZZY-LOGIC,TRUTH VALUES,NUMBERS,WORDS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{293--303}},
  title        = {{A linguistic-valued lattice implication algebra approach for risk analysis}},
  volume       = {{17}},
  year         = {{2011}},
}

Web of Science
Times cited: