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Cdric Awouafack, Daquin, Carole kengne, Pierre, Ll, Clestin. (1402). On L-fuzzy ideals of multilattices. سامانه مدیریت نشریات علمی, 11(1), 31-47. doi: 10.22098/jhs.2023.2526
Daquin Cdric Awouafack; Pierre Carole kengne; Clestin Ll. "On L-fuzzy ideals of multilattices". سامانه مدیریت نشریات علمی, 11, 1, 1402, 31-47. doi: 10.22098/jhs.2023.2526
Cdric Awouafack, Daquin, Carole kengne, Pierre, Ll, Clestin. (1402). 'On L-fuzzy ideals of multilattices', سامانه مدیریت نشریات علمی, 11(1), pp. 31-47. doi: 10.22098/jhs.2023.2526
Cdric Awouafack, Daquin, Carole kengne, Pierre, Ll, Clestin. On L-fuzzy ideals of multilattices. سامانه مدیریت نشریات علمی, 1402; 11(1): 31-47. doi: 10.22098/jhs.2023.2526

On L-fuzzy ideals of multilattices

Journal of Hyperstructures
دوره 11، شماره 1، شهریور 2022، صفحه 31-47    اصل مقاله (339.97 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2023.2526
نویسندگان
Daquin Cdric Awouafack* ؛ Pierre Carole kengne؛ Clestin Ll
Department of Mathematics and Computer Science, University of Dschang, P.O.Box 67, Dschang, Cameroon
چکیده
For a given multilattice M, the set ℑM of all ideals of M is a complete lattice and for a given complete lattice L, the set FI(M;L) of all L-fuzzy ideals ofMis also a complete lattice. The aim of this paper is to characterize L􀀀fuzzy ideals of multilattice and highlight some of their properties based on the Duality Principle. We establish that FI(M;L) is isomorphic to Hom(L∂; ℑM) where L∂ is the dual of L. Since multilattices generalize lattices, the results remain true for L-fuzzy ideals of lattices.
کلیدواژه‌ها
Duality principle؛ L􀀀fuzzy subsets؛ ideals؛ lattice homomorphisms
مراجع
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