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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis:In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced.
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Key Findings & Data:The notions of generalized lower and upper approximation operators constructed by means of a set-valued mapping are provided.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
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