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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

A note on (∈, ∈∨q)-fuzzy equivalence relations and indistinguishability operators

Muhammed İrfan ALİ
Muhammed SHABIR
Feng FENG
Pages
383–400
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

To conclude, (∈ , ∈∨q)-fuzzy indistinguishability relations are defined and some of their properties are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper (∈ , ∈∨q)-fuzzy equivalence relations are defined and some of their properties are studied.
📊
Key Findings & Data:The partition of an (∈ , ∈∨q)-fuzzy equivalence relation is studied.
💡
Conclusion & Impact:To conclude, (∈ , ∈∨q)-fuzzy indistinguishability relations are defined and some of their properties are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper (∈ , ∈∨q)-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an (∈ , ∈∨q)-fuzzy equivalence relation is studied. It is shown that under a semibal- anced mapping the preimage of an (∈ , ∈∨q)-fuzzy equivalence rela- tion is an (∈ , ∈∨q)-fuzzy equivalence relation, whereas the image of an (∈ , ∈∨q)-fuzzy equivalence relation under a balanced mapping is an (∈, ∈∨q)-fuzzy equivalence relation. To conclude, (∈ , ∈∨q)-fuzzy indistinguishability relations are defined and some of their properties are studied.

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Cite This Article

ALİ, M. İ., SHABIR, M., FENG, F. (2022). A note on (∈, ∈∨q)-fuzzy equivalence relations and indistinguishability operators. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 383–400. https://ajindex.com/articles/530618

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References (1)

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