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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

Soft Lattice Implication Algebras Based on Fuzzy Sets

Yang XU
Jianming ZHAN
Pages
483–492
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Using the concepts of fuzzy (implicative) filters, (∈,∈ ∨q)- fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we deal with soft lattice implication algebras based on fuzzy sets.
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Key Findings & Data:In this paper, we deal with soft lattice implication algebras based on fuzzy sets.
💡
Conclusion & Impact:Using the concepts of fuzzy (implicative) filters, (∈,∈ ∨q)- fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:(Implicative) filter · (Implicative) filteristic soft lattice implication algebra · 2000 AMS Classification: 03 B 05

Abstract

In this paper, we deal with soft lattice implication algebras based on fuzzy sets. Using the concepts of fuzzy (implicative) filters, (∈,∈ ∨q)- fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.

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Cite This Article

XU, Y., ZHAN, J. (2022). Soft Lattice Implication Algebras Based on Fuzzy Sets. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 483–492. https://ajindex.com/articles/530600

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