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Graded Reasoning in n-Valued Łukasiewicz Propositional Logic

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Advances in Intelligent Web Mastering

Part of the book series: Advances in Soft Computing ((AINSC,volume 43))

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Abstract

In the present paper we deal with graded reasoning in n-valued Łukasiewicz propositional logic Ł n . Firstly we propose an approach to measure the extent to which a theory over Ł n is consistent. Secondly, with the concept of consistency degrees of theories, we give several methods of graded reasoning in n-valued Łukasiewicz propositional logic Ł n .

Projected by the Natural Science Foundation of China under Grant 10331010, and the Superior Dissertation Foundation of Shaanxi Normal University.

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Katarzyna M. Wegrzyn-Wolska Piotr S. Szczepaniak

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Zhou, H., Wang, G. (2007). Graded Reasoning in n-Valued Łukasiewicz Propositional Logic. In: Wegrzyn-Wolska, K.M., Szczepaniak, P.S. (eds) Advances in Intelligent Web Mastering. Advances in Soft Computing, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72575-6_62

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  • DOI: https://doi.org/10.1007/978-3-540-72575-6_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72574-9

  • Online ISBN: 978-3-540-72575-6

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