Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Volume: 45 Issue: 6

Approximations in a hyperlattice by using set-valued homomorphisms

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Yayın Tarihi
2016-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also propose the notions of generalized lower and upper approximations with respect to a hyperideal of a hyperlattice which is an extended notion of rough hyperideal in a hyperlattice and discuss some significiant properties of them. 

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced.
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Temel Bulgular & Veri:The notions of generalized lower and upper approximation operators constructed by means of a set-valued mapping are provided.
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Sonuç & Katkı:We also propose the notions of generalized lower and upper approximations with respect to a hyperideal of a hyperlattice which is an extended notion of rough hyperideal in a hyperlattice and discuss some significiant properties of them. 
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hyperlattice · Hypercongruence · Approximation space

Abstract

In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced. The notions of generalized lower and upper approximation operators constructed by means of a set-valued mapping are provided. We also propose the notions of generalized lower and upper approximations with respect to a hyperideal of a hyperlattice which is an extended notion of rough hyperideal in a hyperlattice and discuss some significiant properties of them. 

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Bu Makaleye Atıf Yap

Yılmaz, Ş., Kazancı, O. (2016). Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 6. https://ajindex.com/articles/1403080

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