Fuzzy sets: Concepts Results and Uses
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Date
2020
Authors
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Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Algebra and Discrete Mathematics
Abstract
In this memory, we first studied some concepts of classical sets, then fuzzy sets and operations
on them. Second, we studied triangular norm, triangular conorm with presenting important
properties and results for these concepts. Third, we touched on two types of relationships:
classical and fuzzy relationships with mentioning the most important characteristics and
results. Finally, we introduced the concept of fuzzy lattice, where we studied the classical
lattice, ideals and filters, as well as a study of its various advantages and characteristics, then
we expanded it on the fuzzy lattice, where we presented important characteristics of these
concepts.
Description
Keywords
Fuzzy set, Fuzzy complement, Fuzzy partition, Cartesian product, Fuzzy Relation, Fuzzy Lattice, filter, ideal, lattices homomorphism.