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Dergiler / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 1 Issue: 1

Ideals and Filters in Neutrosophic Lattices

Selçuk Topal(BITLIS EREN UNIVERSITY)0000-0001-7074-2569
Merve Gökçen Sönmez(Muğla Sıtkı Koçman University)
Sayfa
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Yayın Tarihi
2020-01-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We extend neutrosophic ideals and filters of neutrosophic lattices to pure neutrosophic lattices to obtain more flexible definitions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we give ideal and filter definitions for neutrosophic lattices for the first time.
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Temel Bulgular & Veri:In this paper, we give ideal and filter definitions for neutrosophic lattices for the first time.
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Sonuç & Katkı:We extend neutrosophic ideals and filters of neutrosophic lattices to pure neutrosophic lattices to obtain more flexible definitions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Neutrosophic Sets · Neutrosophic Lattice · Neutrosophic Ideal

Abstract

In this paper, we give ideal and filter definitions for neutrosophic lattices for the first time. We extend neutrosophic ideals and filters of neutrosophic lattices to pure neutrosophic lattices to obtain more flexible definitions.

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Bu Makaleye Atıf Yap

Topal, S., Sönmez, M. G. (2020). Ideals and Filters in Neutrosophic Lattices. Fundamentals of Contemporary Mathematical Sciences, Volume: 1 Issue: 1. https://ajindex.com/articles/1486337

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Kaynakça (7)

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  4. Smarandache F., A unifying field in logics: Neutrosophic logic, Philosophy, 1999.
  5. Birkhoff G., Lattice Theory, American Mathematical Society Colloquium Publications, XXV, 1967.
  6. Kandasamy V., Smarandache F., Neutrosophic lattices, Neutrosophic Sets and Systems, 2, 42–47, 2013.
  7. Parveen M. R., Sekar P., Neutrosophic semilattices and their properties, Neutrosophic Sets and Systems, 65, 2015.