Browsing by Author "Lemnaouar Zedam"

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    COMPOSITIONS OF TERNARY RELATIONS
    (Université de M'sila, 2021) Norelhouda Bakri; Lemnaouar Zedam; Bernard De Baets
    In this paper, we introduce six basic types of composition of ternary relations, four of which are associative. These compositions are based on two types of composition of a ternary relation with a binary relation recently introduced by Zedam et al. We study the properties of these compositions, in particular the link with the usual composition of binary relations through the use of the operations of projection and cylindrical extension
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    PRINCIPAL INTUITIONISTIC FUZZY IDEALS AND FILTERS ON A LATTICE
    (Université de M'sila, 2021) Sarra Boudaoud; Lemnaouar Zedam
    In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties. More specifically, we show that any principal intuitionistic fuzzy ideal (resp. filter) coincides with an intuitionistic fuzzy down-set (resp. up-set) generated by an intuitionistic fuzzy singleton. Afterwards, for a given intuitionistic fuzzy set, we introduce two intuitionistic fuzzy sets: its intuitionistic fuzzy down-set and up-set, and we investigate their interesting properties. Keywords: lattice, intuitionistic fuzzy set, principal intuitionistic fuzzy ideal, principal intuitionistic fuzzy filter. 2010 Mathematics Subject Classification: 03E72, 06B23, 47H10.