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On Conflicts of Linguistic Fuzzy Rules

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1601))

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Abstract

In this paper, we study the conflict (or inconsistency) of linguistic fuzzy IF-THEN rules that use evaluative linguistic expressions. Firstly, we approach the so-called 1-coherence of the interpretation of perception-based logical deduction inference method, which is the method tailored to the linguistic fuzzy rules. This restrictive coherence of the used model enables the definition of conflicting rules, and consequently, it can be determined directly based on the existence of conflicting rules. Secondly, we focus on investigating the criteria to detect the conflicting rules in a given linguistic description. Based on the criteria, an algorithm for the automatic deduction of the pairs of rules which are in conflict is established. Finally, the paper demonstrates the efficient use of the proposed algorithm on an illustrative example.

The authors announce the support of Czech Science Foundation through the grant 20-07851S.

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Authors and Affiliations

  1. CE IT4Innovations – Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. Dubna 22, 701 03, Ostrava, Czech Republic

    Nhung Cao, Radek Valášek & Martin Štěpnička

Authors
  1. Nhung Cao
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  2. Radek Valášek
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  3. Martin Štěpnička
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Corresponding author

Correspondence to Martin Štěpnička .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

  2. University of Oviedo, Oviedo, Spain

    Inés Couso

  3. University of Cádiz, Cádiz, Spain

    Jesús Medina

  4. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  5. University of Perugia, Perugia, Italy

    Davide Petturiti

  6. Sorbonne Université, Paris, France

    Bernadette Bouchon-Meunier

  7. Iona College, New Rochelle, NY, USA

    Ronald R. Yager

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Cao, N., Valášek, R., Štěpnička, M. (2022). On Conflicts of Linguistic Fuzzy Rules. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_20

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  • DOI: https://doi.org/10.1007/978-3-031-08971-8_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08970-1

  • Online ISBN: 978-3-031-08971-8

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