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Computation of Solutions to Certain Nonlinear Systems of Fuzzy Relation Inequations

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Algebraic Informatics (CAI 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13706))

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Abstract

Although fuzzy relation equations and inequations have a broad field of application, it is common that they have no solutions or have only the trivial solution. Therefore, it is desirable to study new types of fuzzy relation inequations similar to the well-studied ones and with nontrivial solutions. This paper studies fuzzy relation inequations that include the degree of subsethood and the degree of equality of fuzzy sets. We provide formulae for determining the greatest solutions to systems of such fuzzy relation inequations. We provide alternative ways to compute these solutions when we cannot run the methods based on these formulae.

This research was supported by the Science Fund of the Republic of Serbia, GRANT No 7750185, Quantitative Automata Models: Fundamental Problems and Applications - QUAM, and by Ministry of Education, Science and Technological Development, Republic of Serbia, Contract No. 451-03-68/2022-14/200124.

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Authors and Affiliations

  1. Faculty of Science and Mathematics, University of Niš, Niš, Serbia

    Ivana Micić, Zorana Jančić & Stefan Stanimirović

Authors
  1. Ivana Micić
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  2. Zorana Jančić
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  3. Stefan Stanimirović
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Corresponding author

Correspondence to Stefan Stanimirović .

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Editors and Affiliations

  1. Aristotle University of Thessaloniki, Thessaloniki, Greece

    Dimitrios Poulakis

  2. Aristotle University of Thessaloniki, Thessaloniki, Greece

    George Rahonis

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Micić, I., Jančić, Z., Stanimirović, S. (2022). Computation of Solutions to Certain Nonlinear Systems of Fuzzy Relation Inequations. In: Poulakis, D., Rahonis, G. (eds) Algebraic Informatics. CAI 2022. Lecture Notes in Computer Science, vol 13706. Springer, Cham. https://doi.org/10.1007/978-3-031-19685-0_14

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  • DOI: https://doi.org/10.1007/978-3-031-19685-0_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-19684-3

  • Online ISBN: 978-3-031-19685-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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