On generalized fuzzy relation equations: necessary and sufficient conditions for the existence of solutions
Esko Turunen (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Lattice valued intuitionistic fuzzy sets”
On generalized fuzzy relation equations: necessary and sufficient conditions for the existence of solutions
The study of the L-fuzzy concept lattice.
Ana Burusco Juandeaburre, Ramón Fuentes-González (1994)
Mathware and Soft Computing
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The L-Fuzzy concept theory that we have developed sets up classifications from the objects and attributes of a context through L-Fuzzy relations. This theory generalizes the formal concept theory of R. Wille. In this paper we begin with the L-Fuzzy concept definition that generalizes the definitions of the formal concept theory, and we study the lattice structure of the L-Fuzzy concept set, giving a constructive method for calculating this lattice. At the end, we apply this constructive...
Equivalent fuzzy sets
Branimir Šešelja, Andreja Tepavčević (2005)
Kybernetika
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Necessary and sufficient conditions under which two fuzzy sets (in the most general, poset valued setting) with the same domain have equal families of cut sets are given. The corresponding equivalence relation on the related fuzzy power set is investigated. Relationship of poset valued fuzzy sets and fuzzy sets for which the co-domain is Dedekind-MacNeille completion of that posets is deduced.
A fuzzy version of Tarski's fixpoint theorem
Abdelkader Stouti (2004)
Archivum Mathematicum
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A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.
Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-Fuzzy sets.
A. Núñez, Pedro J. Burillo, Ramón Fuentes, L. González (1994)
Mathware and Soft Computing
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The class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.
A context-based approach to linguistic hedges
Martine De Cock, Etienne Kerre (2002)
International Journal of Applied Mathematics and Computer Science
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We present a framework of L-fuzzy modifiers for L being a complete lattice. They are used to model linguistic hedges that act on linguistic terms represented by L-fuzzy sets. In the modelling process the context is taken into account by means of L-fuzzy relations, endowing the L-fuzzy modifiers with a clear inherent semantics. To our knowledge, these L-fuzzy modifiers are the first ones proposed that are suitable to perform this representation task for a lattice L different from the...
On completeness and direction in fuzzy relational systems.
Pedro J. Burillo López, Ramón Fuentes-González, León A. González Sotos (1998)
Mathware and Soft Computing
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The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partially ordered sets (X,≤), are extended in order to become appliable, with coherence, in fuzzy relational systems (X,R). The properties of these generalized structures are analyzed and operative exemples of them are presented.