Transition Generated Function of General Fuzzy Automata
Publish place: The 22nd Iran Fuzzy Systems Conference
Publish Year: 1402
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICFUZZYS22_028
تاریخ نمایه سازی: 14 مرداد 1403
Abstract:
In this paper, we present the notions of sub-general fuzzy automata, primary,transition generated, and homomorphisms for general fuzzy automata (GFA). Wedemonstrate how each GFA can be accurately represented by the sum of all of itsconstituent primaries. We prove that a transition generated is homomorphism andvice versa. Also, we prove that the primary is the maximal sub-GFA generated by asingle state. We also present some related theorems.
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Subject Classification [۲۰۱۰]: ۰۳D۰۵ , ۲۰M۳۵
Authors
Marzieh Shamsizadeh
Department of Mathematics, Faculty of Energy and Data Sciences , Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran
Khadijeh Abolpour
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Mohammad Mehdi Zahedi
Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran