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Fuzzy Relational Inequations and Equations in the Framework of Control Problems

  • Conference paper
Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6717))

Abstract

The paper deals with fuzzy relational inequations and equations connected with closed fuzzy sets under a fixed fuzzy relation over the same domain. Such formulas arise in the framework of control problems. We show that fuzzy sets being solutions of these inequations and corresponding equations form a descending sequence with particular lower bounds which are also analyzed. Our approach is based on complete lattices as structures of membership values, which makes this investigation more general then the classical, real-interval valued approach.

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Author information

Authors and Affiliations

  1. University of Oviedo, Gijón, Spain

    Jorge Jiménez & Susana Montes

  2. University of Novi Sad, Novi Sad, Serbia

    Branimir Šešelja & Andreja Tepavčević

Authors
  1. Jorge Jiménez
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  2. Susana Montes
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  3. Branimir Šešelja
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  4. Andreja Tepavčević
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Editor information

Editors and Affiliations

  1. School of Electronics, Electrical Engineering and Computer Science, Queen’s University Belfast, BT9 5BN, Belfast, UK

    Weiru Liu

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© 2011 Springer-Verlag Berlin Heidelberg

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Jiménez, J., Montes, S., Šešelja, B., Tepavčević, A. (2011). Fuzzy Relational Inequations and Equations in the Framework of Control Problems. In: Liu, W. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2011. Lecture Notes in Computer Science(), vol 6717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22152-1_51

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  • DOI: https://doi.org/10.1007/978-3-642-22152-1_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22151-4

  • Online ISBN: 978-3-642-22152-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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