Title
Consequences and conjectures in preordered sets
Abstract
In a preordered set, or preset, consequence operators in the sense of Tarski, defined on families of subsets, are introduced. From them, the corresponding sets of conjectures, hypotheses, speculations and refutations are considered, studying the relationships between these sets and those previously defined on ortholattices. All the concepts introduced are illustrated with three particular consequence operators, whose behavior is studied in detail. The results obtained are applied to the case of fuzzy sets endowed with the usual pointwise ordering.
Year
DOI
Venue
2010
10.1016/j.ins.2010.06.006
Inf. Sci.
Keywords
Field
DocType
preordered set,fuzzy set,consequence operator,corresponding set,usual pointwise,particular consequence operator,speculations,hypotheses,fuzzy sets
Discrete mathematics,Fuzzy set,Operator (computer programming),Mathematics,Pointwise
Journal
Volume
Issue
ISSN
180
19
0020-0255
Citations 
PageRank 
References 
7
0.79
8
Authors
3
Name
Order
Citations
PageRank
Enric Trillas138770.95
Itziar García-Honrado2277.03
Ana Pradera315916.09