Uninorms Having an Identity and an Annihilator on Bounded Lattices

Year 2019, Volume: 9 Issue: 2, 344 - 352, 15.04.2019

Gül Deniz Çaylı

https://doi.org/10.17714/gumusfenbil.435836

Abstract

Uninorms defined on bounded lattices are an
important generalization of triangular norms and triangular conorms and these
operators allow the identity to be any point in a bounded lattice. In this
study, uninorms on bounded lattices are studied. It is proposed a method to
characterize uninorms on bounded lattices having an identity and an annihilator
on bounded lattices and some basic properties of such uninorms are investigated.
Moreover, an example is provided to illustrate the feasibility of the proposed
method.

 

Keywords

Identity, Annihilator, Bounded lattice, Uninorm

Sınırlı Kafesler Üzerinde Bir Birime ve Bir Sıfırlayana Sahip Uninormlar

Abstract

Sınırlı kafesler üzerinde
tanımlanan uninormlar, üçgensel normların ve üçgensel konormların önemli bir
genelleştirmesidir ve bu operatörler, birimin sınırlı kafesin herhangi bir
noktasında olmasına olanak sağlarlar. Bu çalışmada, sınırlı kafesler üzerinde
uninormlar konusu üzerine çalışılmıştır. 
Sınırlı kafesler üzerinde bir birime ve sıfırlayana sahip uninormları
karakterize etmek için bir metot önerildi ve bu şekildeki uninormların bazı
temel özellikleri araştırıldı. Ayrıca, önerilen metotun uygulanabilirliğini
göstermek için bir örnek verildi.   

 

Keywords

Birim, Sıfırlayan, Sınırlı Kafes, Uninorm

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