Title
On existence of P-valued fuzzy sets with a given collection of cuts
Abstract
A representation theorem of families of subsets by poset-valued fuzzy sets is presented. Namely, necessary and sufficient conditions are given under which for a given family of subsets F of a set X and a fixed poset P there is a fuzzy set @m:X@?P, such that the collection of cuts of @m coincides with F.
Year
DOI
Venue
2010
10.1016/j.fss.2009.09.020
Fuzzy Sets and Systems
Keywords
Field
DocType
fuzzy set
Discrete mathematics,Family of sets,Combinatorics,Information processing,Representation theorem,Fuzzy set,Fuzzy control system,Fuzzy number,Membership function,Partially ordered set,Mathematics
Journal
Volume
Issue
ISSN
161
5
0165-0114
Citations 
PageRank 
References 
6
0.54
10
Authors
3
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Dragan Stojic260.54
Andreja Tepavcevic314322.67