Building A Different Family of Nullnorms on Lattices

Year 2019, Volume: 19 Issue: 1, 103 - 113, 28.05.2019

Gül Deniz Çaylı

https://doi.org/10.35414/akufemubid.422010

Abstract

In this paper, we introduce a new method for obtaining nullnorms on l having an annihilator based on the existence of triangular norms and nullnorms acting on a subinterval of a bounded lattice L Some basic properties concerning this construction method are investigated. Furthermore, it is exemplified the fact that the proposed method differs from the existing methods for constructing nullnorms on bounded lattices.

Keywords

Bounded lattice, Nullnorm, Triangular norm, Triangular conorm

Kafesler Üzerinde Nullnormların Bir Farklı Ailesinin İnşaası

Abstract

Bu çalışmada sınırlı bir L kafesinin bir alt aralığı üzerinde hareket eden nulnormlar ve üçgensel normlar temel alınarak L üzerinde bir yutan elemanlı nullnormları elde etmek için yeni bir inşaa yöntemi önerilmektedir. Bu inşaa yöntemi ile ilgili bazı temel özellikler araştırılmaktadır. Ayrıca, önerilen  yöntemin sınırlı kafesler üzerinde nullnormları inşa eden mevcut yöntemlerden farklı olduğu örnekle gösterilmektedir.

Keywords

Sınırlı Kafes, Nullnorm, Üçgensel Norm, Üçgensel Konorm

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