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http://dx.doi.org/10.14317/jami.2019.383

𝛿;-FUZZY IDEALS IN PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES  

ALABA, BERHANU ASSAYE (Department of Mathematics, College of Sciences, Bahir Dar University)
NORAHUN, WONDWOSEN ZEMENE (Departement of Mathematics, University of Gondar)
Publication Information
Journal of applied mathematics & informatics / v.37, no.5_6, 2019 , pp. 383-397 More about this Journal
Abstract
In this paper, we introduce ${\delta}$-fuzzy ideals in a pseudo complemented distributive lattice in terms of fuzzy filters. It is proved that the set of all ${\delta}$-fuzzy ideals forms a complete distributive lattice. The set of equivalent conditions are given for the class of all ${\delta}$-fuzzy ideals to be a sub-lattice of the fuzzy ideals of L. Moreover, ${\delta}$-fuzzy ideals are characterized in terms of fuzzy congruences.
Keywords
Pseudo-complemented distributive lattice; Stone lattice; ${\delta}$-ideal; fuzzy ideal; fuzzy filter; ${\delta}$-fuzzy ideal;
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