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Interpreting lattice-valued set theory in fuzzy set theory
An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic, defined by Hájek, is presented. Moreover, Titani's axioms of lattice-valued set theory are interpreted in fuzzy ...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lattice-valued soft algebras
Motivated by the rapidly developing theory of lattice-valued (or, more of D. Molodtsov. More precisely, we start the theory of lattice-valued soft universal algebra, which is based in soft set...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lattice-valued bornological systems
for both lattice-valued point-set and point-free bornology. In particular, we showMotivated by the concept of lattice-valued topological system of J.T. Denniston, A. Melton, and S.E. Rodabaugh, which exte...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Lattice-Valued Logic and its Applications - Abstracts
Set Theory ?Lattice-Valued Logic and its Applications. Since their inception in 1979, the Linz Seminars on Fuzzy Set Theory have emphasized the development ?Lattice-Valued Logic...
BA - Obecná matematika
- 2010 •
- O
Rok uplatnění
O - Ostatní výsledky
Convergence of Sequences of Sets with Respect to Lattice-Valued Possibilistic Measures
) non-numerical and, in particular, lattice-valued possibilistic measure, i.e-additivity. Focusing our attention to sequences of sets converging in a lattice and probability theory, and as a powerful tool ...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Preservation of Residuated Lattice Properties for Partial Algebras
This paper concentrates on investigating the preservation of the axioms and essential properties of residuated lattices in partial fuzzy set theory. We consider seven mostknown partial algebras dealing with undefined
Pure mathematics
- 2021 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Incomplete information and concept lattices
of the theory with emphasis on partially ordered sets and complete latticesWe present a mathematical model of sets with incomplete information about identity of elements and the membership relation. The model is b...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Aggregation on lattices isomorphic to the lattice of closed subintervals of the real unit interval
's fuzzy set theory, i.e., special functions on the lattice [0, 1], can be extended to the interval-valued connectives, i.e., to special functions on the lattice LI , and then to the connectives on th...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Preservation of properties of residuated algebraic structure by structures for the partial fuzzy set theory
of a residuated lattice structure in extended algebras for partial fuzzy set theory and partial fuzzy logics. The preservation includes the residuated lattice axioms, the identities narrowing the classes of the re...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Almost-Mesurability Relation Induced by Lattice-Valued Partial Possibilistic Measures
investigating are partial possibilistic measures with values in complete lattices, by their measurable subsets and coverings. We introduce a lattice-valued metric or distance function and define a set to ...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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