Sınırlı Kafesler Üzerinde Üçgensel Normlar (Konormlar) için Yeni Bir İnşa Metodu

Year 2024, Volume: 5 Issue: 1, 57 - 73, 30.06.2024

Ümit Ertuğrul Eda Nur Ayvaz

https://doi.org/10.53501/rteufemud.1428002

Abstract

Bu çalışmada, L∕{0}'ın en küçük elemana sahip olması kısıtıyla, L'nin [a,b] alt aralığı üzerindeki bir t-normdan, L sınırlı kafesi üzerinde üçgensel normlar (konormlar) inşa etmek için yeni bir metot vermeyi ve literatürdeki inşa metotları ile ilişkisini ortaya koymayı amaçlıyoruz. Ayrıca, yeni inşa metodunun, uygun bir sınırlı kafes üzerinde üçgensel normlar (konormlar) için modifiye bir ordinal toplamına tümevarım yoluyla genelleştirilebileceğini gösteriyoruz.

Keywords

Sınırlı kafes, t-norm, alt aralık, inşa metodu

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