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Complex Quantified Statements Evaluated Using Gradual Numbers

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Part of the book series: Advances in Soft Computing ((AINSC,volume 42))

Abstract

This paper is devoted to the evaluation of quantified statements in the context of flexible querying of relational databases. Two types of quantified statements can be distinguished and the most sophisticated one (of type “Q B X are A”) is considered in this paper. The contribution is to propose a new theoretical background for their evaluation (using an arithmetic on gradual numbers (ℕ f , ℤ f , ℚ f )).

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Oscar Castillo Patricia Melin Oscar Montiel Ross Roberto Sepúlveda Cruz Witold Pedrycz Janusz Kacprzyk

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© 2007 Springer-Verlag Berlin Heidelberg

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Liétard, L., Rocacher, D. (2007). Complex Quantified Statements Evaluated Using Gradual Numbers. In: Castillo, O., Melin, P., Ross, O.M., Sepúlveda Cruz, R., Pedrycz, W., Kacprzyk, J. (eds) Theoretical Advances and Applications of Fuzzy Logic and Soft Computing. Advances in Soft Computing, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72434-6_5

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  • DOI: https://doi.org/10.1007/978-3-540-72434-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72433-9

  • Online ISBN: 978-3-540-72434-6

  • eBook Packages: EngineeringEngineering (R0)

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