PRINCIPAL FUZZY IDEALS AND FILTERS ON A LATTICE
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of m'sila
Abstract
,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
Description
Keywords
sting properties. Key words : Lattice, fuzzy set, Principal fuzz