Paper Info
Title
Extensions of states on MV-quantales
Abstract
We consider the lattice of the ordered right-continuous families of elements of a ''dual quantale'' with the index set [0,1] (called its ''rc-extension'') and the lattice of the ordered (n+1)-tuples (with n=1) of elements of this dual quantale (its ''n-extension'') equipped with a dual quantale structure that generalizes the ''canonical extension'' proposed by Hohle and Weber. Of particular interest is the existence of states on n-extensions of finite MV-chains. We generalize the recent results of Weber by incorporating effectible Girard quantales, which are introduced by the author.
Year
DOI
Venue
2012
10.1016/j.fss.2011.11.007
Fuzzy Sets and Systems
Keywords
Field
DocType
effectible girard quantales,right-continuous family,finite mv-chains,canonical extension,dual quantale structure,dual quantale,particular interest,index set,recent result,state
Discrete mathematics,Quantale,Lattice (order),Index set,Mathematics
Journal
Volume
ISSN
Citations 
194,
0165-0114
0
PageRank 
References 
Authors
0.34
7
1
Name
Order
Citations
PageRank
Remigijus Petras Gylys110.72