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Self-Referential Reasoning in the Light of Extended Truth Qualification Principle

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The purpose of this paper is to formulate truth-value assignment to self-referential sentences via Zadeh's truth qualification principle and to present new methods to assign truth-values to them. Therefore, based on the truth qualification process, a new interpretation of possibilities and truth-values is suggested by means of type-2 fuzzy sets and then, the qualification process is modified such that it results in type-2 fuzzy sets. Finally, an idea of a comprehensive theory of type-2 fuzzy possibility is proposed. This approach may be unified with Zadeh's Generalized Theory of Uncertainty (GTU) in the future.

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Authors and Affiliations

  1. Department of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran

    Mohammad Reza Rajati, Hamid Khaloozadeh & Alireza Fatehi

Authors
  1. Mohammad Reza Rajati
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  2. Hamid Khaloozadeh
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  3. Alireza Fatehi
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Corresponding author

Correspondence to Mohammad Reza Rajati .

Editor information

Editors and Affiliations

  1. Department of Electrotechnical Engineering Rua Dr. Antonio Bernardino de Almeida, Institute of Engineering of the Polytechnic Institute of Porto, Porto, 4200-072, Portugal

    J. A. Tenreiro Machado

  2. Department of Engineering Institute for Manufacturing, University of Cambridge, Cambridge, Mill Lane, CB2 2RX, UK

    Béla Pátkai

  3. Department of Intelligent Engineering Systems John von Neumann Faculty of Informatics, Budepest Tech, Bécsi út 96/B, Budapest, 1034, Hungary

    Imre J. Rudas

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© 2009 Springer-Verlag Berlin Heidelberg

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Rajati, M.R., Khaloozadeh, H., Fatehi, A. (2009). Self-Referential Reasoning in the Light of Extended Truth Qualification Principle. In: Machado, J.A.T., Pátkai, B., Rudas, I.J. (eds) Intelligent Engineering Systems and Computational Cybernetics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8678-6_18

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  • DOI: https://doi.org/10.1007/978-1-4020-8678-6_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8677-9

  • Online ISBN: 978-1-4020-8678-6

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