Paper Info
Title
A calculus for containment of fuzzy attributes.
Abstract
Dependencies in data describing objects and their attributes represent a key topic in understanding relational data. In this paper, we examine certain dependencies of data described by fuzzy attributes such as green or high performance, i.e. attributes which apply to objects to certain degrees. Such attributes subsume Boolean attributes as a particular case. We utilize the framework of residuated structures of truth degrees as developed in modern fuzzy logic and examine several fundamental problems for our dependencies. These include connections to existing dependencies for fuzzy as well as Boolean attributes, connections to interior- and closure-like structures, definition and properties of semantic entailment including an efficient check of entailment, various model-theoretical properties, a logical calculus of the dependencies inspired by the well-known Armstrong rules with its ordinary-style as well as graded-style syntactico-semantical completeness, fully informative sets of all dependencies that are valid in given data including a constructive description of minimal such sets, as well as various other problems.
Year
DOI
Venue
2018
10.1007/s00500-017-2972-1
Soft Comput.
Keywords
Field
DocType
Fuzzy logic, Dependencies of fuzzy attributes, Fuzzy closure structures, Formal concept analysis
Logical consequence,Relational database,Constructive,Computer science,Fuzzy logic,Theoretical computer science,Formal concept analysis,Completeness (statistics),Calculus
Journal
Volume
Issue
ISSN
22
19
1432-7643
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Radim Belohlávek168781.38
Jan Konecny211517.20