The Weak Homomorphism Between Two Hesitant L-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_002
تاریخ نمایه سازی: 14 مرداد 1403
Abstract:
In this paper, we de ne the weak homomorphism between two hesitant L-fuzzyautomata (HLFA) A۱ and A۲. Then, we use it in a theorem to show that if thereis a weak homomorphism from the HLFA A۱ to the HLFA A۲, then the language ofHLFA A۱ is a subset of the language of HLFA A۲, that is HLA۱ HLA۲ . Next, byintroducing the relationship between two HLFA, A۱ and A۲, we establish a relationshipbetween their languages and state the conditions under which their languages is equal,that is, HLA۱ = HLA۲ . For this purpose, while assuming that k is a non-negativeinteger, we introduce a k-behavior for the HLFA A, and denote it by HLkA. Weshow that HLA =S۱k=۰ HLkA. In addition, between two HLFA A۱ and A۲, weexpress concepts k-relation (A۱RkA۲) and completely relation (A۱RA۲). Finally, bya theorem, we show that if A۱RA۲, then HLA۱ = HLA۲ .
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Authors
Mohammad Mehdi Zahedi
Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran
Mohammad Javad Agheli Goki
Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran