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On the relationship between some extensions of fuzzy set theory

Glad Deschrijver and Etienne Kerre UGent (2003) Fuzzy Sets and Systems. 133(2). p.227-235
abstract
Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory, others try to handle imprecision and uncertainty in a different (better?) way. Kerre (Computational Intelligence in Theory and Practice, Physica-Verlag, Heidelberg, 2001, pp. 55-72) has given a summary of the links that exist between fuzzy sets and other mathematical models such as flou sets (Gentilhomme), two-fold fuzzy sets (Dubois and Prade) and L-fuzzy sets (Goguen). In this paper, we establish the relationships between intuitionistic fuzzy sets (Atanassov), L-fuzzy sets (Goguen), interval-valued fuzzy sets (Sambuc), interval-valued intuitionistic fuzzy sets (Atanassov).
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
interval valued fuzzy set, intuitionistic fuzzy set, interval valued intuitionistic fuzzy set, fuzzy set, relationship between models
journal title
Fuzzy Sets and Systems
Fuzzy Sets Syst.
volume
133
issue
2
pages
227-235 pages
Web of Science type
Article
Web of Science id
000180336300009
JCR category
MATHEMATICS, APPLIED
JCR impact factor
0.577 (2003)
JCR rank
85/153 (2003)
JCR quartile
3 (2003)
ISSN
0165-0114
language
English
UGent publication?
yes
classification
A1
id
208229
handle
http://hdl.handle.net/1854/LU-208229
date created
2008-01-11 10:41:00
date last changed
2016-12-19 15:38:03
@article{208229,
  abstract     = {Since Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced. Some of these theories are extensions of fuzzy set theory, others try to handle imprecision and uncertainty in a different (better?) way. Kerre (Computational Intelligence in Theory and Practice, Physica-Verlag, Heidelberg, 2001, pp. 55-72) has given a summary of the links that exist between fuzzy sets and other mathematical models such as flou sets (Gentilhomme), two-fold fuzzy sets (Dubois and Prade) and L-fuzzy sets (Goguen). In this paper, we establish the relationships between intuitionistic fuzzy sets (Atanassov), L-fuzzy sets (Goguen), interval-valued fuzzy sets (Sambuc), interval-valued intuitionistic fuzzy sets (Atanassov).},
  author       = {Deschrijver, Glad and Kerre, Etienne},
  issn         = {0165-0114},
  journal      = {Fuzzy Sets and Systems},
  keyword      = {interval valued fuzzy set,intuitionistic fuzzy set,interval valued intuitionistic fuzzy set,fuzzy set,relationship between models},
  language     = {eng},
  number       = {2},
  pages        = {227--235},
  title        = {On the relationship between some extensions of fuzzy set theory},
  volume       = {133},
  year         = {2003},
}

Chicago
Deschrijver, Glad, and Etienne Kerre. 2003. “On the Relationship Between Some Extensions of Fuzzy Set Theory.” Fuzzy Sets and Systems 133 (2): 227–235.
APA
Deschrijver, Glad, & Kerre, E. (2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133(2), 227–235.
Vancouver
1.
Deschrijver G, Kerre E. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems. 2003;133(2):227–35.
MLA
Deschrijver, Glad, and Etienne Kerre. “On the Relationship Between Some Extensions of Fuzzy Set Theory.” Fuzzy Sets and Systems 133.2 (2003): 227–235. Print.