Paper Info
Title
The set of fuzzy relative integers and fuzzy bags
Abstract
A characterization of fuzzy bags with conjunctive fuzzy integers (ℕf) provides a general framework in which sets, bags, fuzzy sets, and fuzzy bags are treated in a uniform way. In this context, the difference between two fuzzy bags does not always exist and, in such cases, only approximations of the difference have been defined. The problem comes from the fact that the fuzzy bag model considered so far is based on positive fuzzy integers. In this paper, we construct the set of fuzzy relative integers (ℤf) where the existence of negative multiplicities allows us to define exact complementations. Then we define fuzzy bags on ℤf, which offer a well-founded framework in which the difference of two fuzzy bags is always defined. © 2009 Wiley Periodicals, Inc.
Year
DOI
Venue
2009
10.1002/int.v24:6
Int. J. Intell. Syst.
Field
DocType
Volume
Discrete mathematics,Data mining,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy mathematics,Fuzzy set,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
24
Issue
ISSN
Citations 
6
0884-8173
3
PageRank 
References 
Authors
0.80
7
2
Name
Order
Citations
PageRank
Daniel Rocacher113918.61
Patrick Bosc260175.23