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Results

177 840 results (0,523s)

Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
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