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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Volume: 46 Issue: 6

Soft congruence relation over lattice

Susanta Bera
Sankar Kumar Roy
Faruk Karaaslan
Naim Çağman
Pages
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Publication Date
2017-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We then give their related properties with examples to investigate their characterizations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we first describe soft congruence relation over a lattice.
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Key Findings & Data:We then define the concepts of complete soft congruence relation.
💡
Conclusion & Impact:We then give their related properties with examples to investigate their characterizations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Rough sets · Soft sets · Lattices

Abstract

In this paper, we first describe soft congruence relation over a lattice. We then define the concepts of complete soft congruence relation. Besides this, the concepts of upper and lower approximations of a subset in a lattice are depicted based on this soft congruence relation. We then give their related properties with examples to investigate their characterizations.

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Cite This Article

Bera, S., Roy, S. K., Karaaslan, F., Çağman, N. (2017). Soft congruence relation over lattice. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 6. https://ajindex.com/articles/1402984

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