Bisimulation for BL-general fuzzy automata

Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-13-4_004

تاریخ نمایه سازی: 24 خرداد 1401

Abstract:

In this note, we define bisimulation for BL-general fuzzy automata and show that if there is a bisimulation between two BL-general fuzzy automata, then they have the same behavior.For a given BL-general fuzzy automata, we obtain the greatest bisimulation for the BL-general fuzzy automata. Thereafter, if we use the greatest bisimulation, then we obtain a quotient BL-general fuzzy automata and this quotient is minimal, furthermore there is a morphism from the first one to its quotient.Also, for two given BL-general fuzzy automata we present an algorithm, which determines bisimulation between them.Finally, we present some examples to clarify these new notions.

Authors

M. Shamsizadeh

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

M. M. Zahedi

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

K. Abolpour

Department of Mathematics, Kazerun Branch, Islamic Azad University, Kazerun, Iran

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