Version 1
: Received: 26 October 2024 / Approved: 26 October 2024 / Online: 28 October 2024 (13:22:53 CET)
How to cite:
Farajdadeh, A.; Kocinac, L. Characterization of Lattices in Terms of (∈γ,∈γ∨qδ)-Fuzzy Ideals. Preprints2024, 2024102090. https://doi.org/10.20944/preprints202410.2090.v1
Farajdadeh, A.; Kocinac, L. Characterization of Lattices in Terms of (∈γ,∈γ∨qδ)-Fuzzy Ideals. Preprints 2024, 2024102090. https://doi.org/10.20944/preprints202410.2090.v1
Farajdadeh, A.; Kocinac, L. Characterization of Lattices in Terms of (∈γ,∈γ∨qδ)-Fuzzy Ideals. Preprints2024, 2024102090. https://doi.org/10.20944/preprints202410.2090.v1
APA Style
Farajdadeh, A., & Kocinac, L. (2024). Characterization of Lattices in Terms of (∈γ,∈γ∨qδ)-Fuzzy Ideals. Preprints. https://doi.org/10.20944/preprints202410.2090.v1
Chicago/Turabian Style
Farajdadeh, A. and Ljubisa Kocinac. 2024 "Characterization of Lattices in Terms of (∈γ,∈γ∨qδ)-Fuzzy Ideals" Preprints. https://doi.org/10.20944/preprints202410.2090.v1
Abstract
In this paper, $(\alpha,\beta)$-fuzzy sublattices and
$(\alpha,\beta)$-fuzzy ideals of a lattice, where $\alpha\in\{
\in_{\gamma}, q_{\delta}, \in_{\gamma}\vee q_{\delta}\}$,
$\beta\in\{ \in_{\gamma}, q_{\delta}, \in_{\gamma}\vee
q_{\delta},\in_{\gamma}\wedge q_{\delta}\}$, are introduced and
studied. In the special case, $(\in_{\gamma}, \in_{\gamma}\vee
q_{\delta})$-fuzzy sublattices and $(\in_{\gamma}, \in_{\gamma}\vee
q_{\delta})$-fuzzy ideals of a lattice are presented and their
characterizations by three level sublattices and ideals are given.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.