Transporting many-valued sets along many-valued relations

Authors:
A. Frascella;C. Guido
Affiliations:
Department of Mathematics “E. De Giorgi”-University of Lecce, P.O. Box 193-73100, Lecce, Italy;Department of Mathematics “E. De Giorgi”-University of Lecce, P.O. Box 193-73100, Lecce, Italy
Venue:
Fuzzy Sets and Systems
Year:
2008

Citing 5
Cited 7

Abstract and concrete categories

Abstract and concrete categories
Theory of topological molecular lattices

Fuzzy Sets and Systems
Some remarks on fuzzy powerset operators

Fuzzy Sets and Systems
Fuzzy closure operators induced by similarity

Fundamenta Informaticae
Continuity in quantitative domains

Fuzzy Sets and Systems

Relational compositions in Fuzzy Class Theory

Fuzzy Sets and Systems
Implication structures, fuzzy subsets, and enriched categories

Fuzzy Sets and Systems
Fuzzy Galois connections under weak conditions

Fuzzy Sets and Systems
L-topological spaces as spaces of points

Fuzzy Sets and Systems
Possibility-theoretic extension of derivation operators in formal concept analysis over fuzzy lattices

Fuzzy Optimization and Decision Making
Di-uniformities and Hutton uniformities

Fuzzy Sets and Systems
Q-fuzzy subsets on ordered semigroups

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

The transport of L-sets along an L-relation R is considered, with L any residuated lattice, sometimes with further properties as to be a frame or an MV-algebra. Pairs of powerset operators related to R are considered and their basic properties are studied in a comprehensive discussion including some results already known. A few examples and suggestions for application and further development are also given.