BL-general fuzzy automata and minimal realization: Based on the associated categories

Authors

  • Kh. Abolpour Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
  • M. M. Zahedi Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
  • M. Shamsizadeh Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
Abstract:

The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzy behavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill-Nerode's theory while the other has been based on derivatives of the given fuzzy behavior. Meanwhile, the categories of BL-general fuzzy automata and fuzzy behavior, along with a functorial relationship between them, are introduced.

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Journal title

volume 17  issue 1

pages  155- 169

publication date 2020-02-01

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