Ordre flou intuitionniste et structures reliées (Intuitionistic fuzzy order and related structures)
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Date
2021
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Université de M'sila
Abstract
In this thesis, we consider the problem of representation and construction of intuitionistic
fuzzy preorders and weak orders, where many fundamental representations result
extending those of Ulrich Bodenhofer et al are presented. Moreover, we study the
concept of intuitionistic fuzzy sublattices and intuitionistic fuzzy ideals with respect
to an intuitionistic fuzzy t-norm on an adequate lattice. Some characterizations
and properties of these intuitionistic fuzzy sublattices and ideals with respect to an
intuitionistic fuzzy t-norm are established.
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Keywords
Intuitionistic fuzzy set, intuitionistic fuzzy ordering relation, intuitionistic fuzzy equivalence relation, intuitionistic fuzzy weak order, intuitionistic fuzzy t-norm, residuated lattice.