Research Article

SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES

Volume: 16 Number: 5 May 4, 2026

SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES

Abstract

In this paper, we introduce the concept of fuzzy general disjointness property along with its notation. Our results indicate that a fuzzy section semi-complemented lattice possesses the fuzzy atomic covering property if it meets the criteria for the fuzzy atomic disjointness property. Furthermore, we establish that if a fuzzy section semi-complemented lattice satisfies the fuzzy disjointness property, then it is both fuzzy $\bot$-modular and a fuzzy Birkhoff lattice.

Keywords

Thanks

The authors are thankful to the referee for fruitful suggestions, which enhanced the quality of the paper.

References

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  3. [3] Khubchandani, P. and Khubchandani, J., (2025), Fuzzy Perspectivity in Fuzzy Lattices, Journal of Algebraic Systems, 13 (3), pp. 175-184.
  4. [4] Khubchandani, P. and Khubchandani, J., (2025), Characterizations of Fuzzy ⊥-⊤ Distributive Lattice in Fuzzy Lattices, TWMS J. App. and Eng. Math., 15 (2), pp. 377-386.
  5. [5] Khubchandani, P. and Khubchandani,J., (2025), Characterizations of Fuzzy standard element in Fuzzy Lattices TWMS J. App. and Eng. Math., 15 (8), pp. 1978-1995.
  6. [6] Khubchandani, J. and Khubchandani, P., (2025), A study of p-essential submodules, TWMS J. App. and Eng. Math., 15(9), pp. 2260-2268.
  7. [7] Khubchandani, J. and Khubchandani, P., (2026), (α1, α2)-Fuzzy subrings and (α1, α2)-Fuzzy ideals of a ring, Journal of Algebraic Systems, 14 (1), pp. 113-133.
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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Publication Date

May 4, 2026

Submission Date

March 25, 2025

Acceptance Date

July 12, 2025

Published in Issue

Year 2026 Volume: 16 Number: 5

APA
Khubchandanı, P., & Khubchandanı, J. (2026). SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES. TWMS Journal of Applied and Engineering Mathematics, 16(5), 611-627. https://izlik.org/JA22TF99GP
AMA
1.Khubchandanı P, Khubchandanı J. SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES. JAEM. 2026;16(5):611-627. https://izlik.org/JA22TF99GP
Chicago
Khubchandanı, Payal, and Jyotı Khubchandanı. 2026. “SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 611-27. https://izlik.org/JA22TF99GP.
EndNote
Khubchandanı P, Khubchandanı J (May 1, 2026) SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES. TWMS Journal of Applied and Engineering Mathematics 16 5 611–627.
IEEE
[1]P. Khubchandanı and J. Khubchandanı, “SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES”, JAEM, vol. 16, no. 5, pp. 611–627, May 2026, [Online]. Available: https://izlik.org/JA22TF99GP
ISNAD
Khubchandanı, Payal - Khubchandanı, Jyotı. “SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 611-627. https://izlik.org/JA22TF99GP.
JAMA
1.Khubchandanı P, Khubchandanı J. SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES. JAEM. 2026;16:611–627.
MLA
Khubchandanı, Payal, and Jyotı Khubchandanı. “SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 611-27, https://izlik.org/JA22TF99GP.
Vancouver
1.Payal Khubchandanı, Jyotı Khubchandanı. SOME PROPERTIES OF FUZZY DISJOINTNESS IN FUZZY LATTICES. JAEM [Internet]. 2026 May 1;16(5):611-27. Available from: https://izlik.org/JA22TF99GP