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.
Dragan Radojević (2005)
The Yugoslav Journal of Operations Research
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Tadeusz Gerstenkorn, Andreja Tepavĉević (2004)
Open Mathematics
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In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given. The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an lattice valued intuitionistic fuzzy set for which these are families of level sets.
Sangalli, Arturo A.L. (1996)
International Journal of Mathematics and Mathematical Sciences
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Vanja Stepanović, Andreja Tepavčević (2022)
Kybernetika
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The paper applies some properties of the monotonous operators on the complete lattices to problems of the existence and the construction of the solutions to some fuzzy relational equations, inequations, and their systems, taking a complete lattice for the codomain lattice. The existing solutions are extremal - the least or the greatest, thus we prove some extremal problems related to fuzzy sets (in)equations. Also, some properties of upper-continuous lattices are proved and applied to...
Daniel Ruiz, Joan Torrens (2004)
Kybernetika
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This paper is devoted to the study of implication (and co-implication) functions defined from idempotent uninorms. The expression of these implications, a list of their properties, as well as some particular cases are studied. It is also characterized when these implications satisfy some additional properties specially interesting in the framework of implication functions, like contrapositive symmetry and the exchange principle.
Esko Turunen (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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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...