Paper Info
Title
About zf, the set of fuzzy relative integers, and the definition of fuzzy bags on zf
Abstract
A characterization of fuzzy bags with fuzzy integers (Nf) provides a general framework in which sets, bags, fuzzy sets and fuzzy bags are treated in a uniform way. In bag theory, the difference between two bags A and B is the relative complement of A intersection B to A. With fuzzy bags defined on Nf, this difference does not always exist and, in such a case, only approximations of the exact result can be 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 show that fuzzy relative integers (Zf) offer a well-founded framework in which the difference of two fuzzy bags is always defined.
Year
DOI
Venue
2003
10.1007/3-540-44967-1_10
IFSA
Keywords
Field
DocType
fuzzy set,well-founded framework,fuzzy integer,fuzzy bag model,fuzzy relative integer,general framework,fuzzy bag,intersection b,bag theory,positive fuzzy integer
Integer,Discrete mathematics,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Fuzzy subalgebra,Complement (set theory),Equivalence class,Fuzzy number,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-40383-3
8
1.05
References 
Authors
2
2
Name
Order
Citations
PageRank
Patrick Bosc160175.23
Daniel Rocacher213918.61