ADMISSIBLE PARTITION FOR BL-GENERAL FUZZY AUTOMATON

Document Type : Research Paper

Authors

1 Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran

2 Department of Mathematics, Shiraz Beranch, Islamic Azad University, Shiraz, Iran

Abstract

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.
In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.
It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finally, we present some examples to clarify the notions and results of this paper.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 15, Issue 7
September and October 2018
Pages 79-90

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