Browsing by Author "Supervisor: Milles, Soheyb"

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    Particular fuzzy subsets on topologies generated by fuzzy relations
    (University of M'sila, 2023-06-10) Khaoui, Nada ErReyhane; Supervisor: Milles, Soheyb; Co-Supervisor: Zedam, Lemnaouar
    In this memoire, we study a particular subsets which are the ideals and filters on a lattice of open sets in topology generated by fuzzy relation. Moreover, we study characterizations of these particular subsets with some related results.
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    Particular intuitionstic fuzzy subsets on a lattice
    (University of M'sila, 2023-06-10) NEMEUR, AMAL; Supervisor: Milles, Soheyb
    T wm Abstract In this memoire, we study particular intuitionistic fuzzy subsets on a lattice and provide some examples. More precisely, the intuitionistic fuzzy ideal and the intuitionistic fuzzy filter on a given lattice. Further, we give some characterizations of these notions in terms of the lattice meet and join operations and in terms of
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    PRINCIPAL FUZZY IDEALS AND FILTERS ON A LATTICE
    (University of m'sila, 2022-06-10) Benelbar, Khawla; Supervisor: Milles, Soheyb
    ,Ty AbR T wm ,TkbJ Abstract In this work, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of fuzzy sets and investigate their various characterizations and properties. More specifically, we show that any principal fuzzy ideal (resp. filter) coincides with a fuzzy down-set (resp. up-set) generated by a fuzzy singleton. Afterwards, for a given fuzzy set, we introduce two fuzzy sets : its fuzzy down-set and up-set, and we investiga