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Fuzzy Relation Equations with Fuzzy Quantifiers

  • Nhung CaoEmail author
  • Martin Štěpnička
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 641)

Abstract

In this paper, we follow the previous works on fuzzy relation compositions based on fuzzy quantifiers and we introduce systems of fuzzy relation equations stemming from compositions based on fuzzy quantifiers. We address the question, whether such systems under some specific conditions may become solvable, and we provide a positive answer. Based on the computational forms of the compositions using fuzzy quantifiers, we explain a way of getting solutions of the systems. In addition to showing some new properties and theoretical results, we provide readers with illustrative examples.

Keywords

Fuzzy relation equations Mamdani-Assilian model Implicative model Fuzzy (generalized) quantifiers 

Notes

Acknowledgement

This research was partially supported by the NPU II project LQ1602 “IT4Innovations excellence in science” provided by the MŠMT.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Institute for Research and Applications of Fuzzy Modeling, CE IT4InnovationsUniversity of OstravaOstravaCzech Republic

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