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International Conference on Rough Sets and Current Trends in Computing

RSCTC 2014: Rough Sets and Current Trends in Computing pp 59–70Cite as

Aristotle’s Syllogisms in Logical Semantics Relying on Optimistic, Average and Pessimistic Membership Functions

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8536))

Abstract

After giving the precise partial first-order logical semantics relying on different membership functions, the notion of decision driven consequence relations with parameters is introduced. Aristotle’s valid syllogisms of the first figure are investigated. The author shows what kind of decisions is necessary and how parameters have to be chosen in order that a consequence relation remains valid.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Faculty of Informatics, University of Debrecen, Egyetem tér 1, H-4010, Debrecen, Hungary

    Tamás Mihálydeák

Authors
  1. Tamás Mihálydeák
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Artificial Intelligence, University of Granada, Calle del Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Chris Cornelis

  2. Institute of Computer Science, Warsaw University of Technology, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Marzena Kryszkiewicz

  3. University of Warsaw, Poland

    Dominik Ślȩzak

  4. Polytechnic University of Madrid, Spain

    Ernestina Menasalvas Ruiz

  5. Deparment of Computer Sciences, Universidad Central Marta Abreu de las Villas, Santa Clara, Villa Clara, Cuba

    Rafael Bello

  6. Department of Computer Science and Technology, Nanjing University, 210023, Nanjing, China

    Lin Shang

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© 2014 Springer International Publishing Switzerland

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Mihálydeák, T. (2014). Aristotle’s Syllogisms in Logical Semantics Relying on Optimistic, Average and Pessimistic Membership Functions. In: Cornelis, C., Kryszkiewicz, M., Ślȩzak, D., Ruiz, E.M., Bello, R., Shang, L. (eds) Rough Sets and Current Trends in Computing. RSCTC 2014. Lecture Notes in Computer Science(), vol 8536. Springer, Cham. https://doi.org/10.1007/978-3-319-08644-6_6

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  • DOI: https://doi.org/10.1007/978-3-319-08644-6_6

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08643-9

  • Online ISBN: 978-3-319-08644-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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