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A Formal Analysis of Generalized Peterson’s Syllogisms Related to Graded Peterson’s Cube

Author

Listed:
  • Karel Fiala

    (Department of Mathematics, University of Ostrava, 702 00 Ostrava, Czech Republic
    These authors contributed equally to this work.)

  • Petra Murinová

    (Institute for Research and Application of Fuzzy Modeling, University of Ostrava, 702 00 Ostrava, Czech Republic
    These authors contributed equally to this work.)

Abstract

This publication builds on previous publications in which we constructed syntactic proofs of fuzzy Peterson’s syllogisms related to the graded square of opposition. The aim of the publication is to be formally able to find syntactic proofs of fuzzy Peterson’s logical syllogisms with forms of fuzzy intermediate quantifiers that design the graded Peterson’s cube of opposition.

Suggested Citation

  • Karel Fiala & Petra Murinová, 2022. "A Formal Analysis of Generalized Peterson’s Syllogisms Related to Graded Peterson’s Cube," Mathematics, MDPI, vol. 10(6), pages 1-27, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:906-:d:769151
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    Cited by:

    1. Vilém Novák & Antonín Dvořák, 2022. "Preface to the Special Issue on “Fuzzy Natural Logic in IFSA-EUSFLAT 2021”," Mathematics, MDPI, vol. 10(22), pages 1-3, November.

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