Pythagorean Fuzzy Sublattices and Ideals

In this research paper, we introduce the concepts of Pythagorean fuzzy sublattices and Pythagorean fuzzy ideals within the context of a lattice. We proceed to establish various properties associated with these Pythagorean fuzzy sublattices and ideals. Moreover, we introduce the notion of (γ, δ) level set and (γ, δ) strong level sets, accompanied by relevant theorems. Lastly, we define Pythagorean fuzzy convex sublattices and engage in a discussion concerning their properties.

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Publication Details

Journal
International Journal of Science and Research (IJSR)
Published
2025-07-04
DOI
https://doi.org/10.21275/sr24213112538
Primary Topic
Advanced Algebra and Logic
Type
article
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article

Pythagorean Fuzzy Sublattices and Ideals

Latha S Nair, A Nasreen
International Journal of Science and Research (IJSR)
Advanced Algebra and Logic
article

Pythagorean Fuzzy Sublattices and Ideals

Latha S Nair, A Nasreen
article en

Abstract

In this research paper, we introduce the concepts of Pythagorean fuzzy sublattices and Pythagorean fuzzy ideals within the context of a lattice. We proceed to establish various properties associated with these Pythagorean fuzzy sublattices and ideals. Moreover, we introduce the notion of (γ, δ) level set and (γ, δ) strong level sets, accompanied by relevant theorems. Lastly, we define Pythagorean fuzzy convex sublattices and engage in a discussion concerning their properties.

International Journal of Science and Research (IJSR)
Del Mar College (US)
Climate action
Openalex Percentile: Top 82%
Advanced Algebra and Logic
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Pythagorean Fuzzy Sublattices and Ideals — Latha S Nair, A Nasreen · International Journal of Science and Research (IJSR) (2025) | TGRS Research Map | TGRS