Intuitionistic Fuzzy Sets: Theory and Applications
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Algebra and Discrete Mathematics
Abstract
In this memory, firstly we reminded some concepts in the classical case, and in other we gave
the concept of the fuzzy sets and their properties. Secondly, we have presented the characteristics
and essential properties of the concept of intuitionistic fuzzy sets that are an extension of the
concept of fuzzy sets. In more, we presented the intuitionistic fuzzy relations, the intuitionistic
fuzzy lattices, the intuitionistic fuzzy ideals and intuitionistic fuzzy filters. Finally, we have
studied an application of the intuitionistic fuzzy sets, where we studied the representation
theory of Lukasiewicz-Moisil algebra by the notion of intuitionistic fuzzy sets.
Description
Keywords
Fuzzy set, intuitionistic fuzzy set, intuitionistic fuzzy relations, intuitionistic fuzzy ideal, intuitionistic fuzzy filter, intuitionistic fuzzy lattice.