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On the cuts of intuitionistic fuzzy compositions

Glad Deschrijver and Etienne Kerre UGent (2003) Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications. p.7-12
abstract
In some applications the amount of data that must be worked on is quite large, and there needs to be some way of reducing the amount of data an algorithm has to work on. The notion of alpha-cut is very useful in such situations. Intuitionistic fuzzy sets have been defined by Atanassov in 1983 as an extension of fuzzy sets: while fuzzy sets give only a degree of membership, intuitionistic fuzzy sets give both a degree of membership and a degree of non-membership, with the only constraint that their sum must be less than or equal to 1. In a previous paper we have presented an intuitionistic fuzzy version of the triangular compositions of Bandler and Kohout and their improved versions given by De Baets and Kerre. In this paper we discuss the cutworthiness of the intuitionistic fuzzy triangular compositions.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
cutworthiness, alpha-cut, triangular composition, intuitionistic fuzzy relation, intuitionistic fuzzy set
in
Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications
pages
7 - 12
publisher
Tsinghua University Press / Springer
conference name
International Conference on Fuzzy Information Processing: Theory and Applications (FIP)
conference location
Beijing, China
conference start
2003-03-01
conference end
2003-03-04
ISBN
7-302-06299-4
language
English
UGent publication?
yes
classification
C1
id
213420
handle
http://hdl.handle.net/1854/LU-213420
date created
2004-04-28 15:29:00
date last changed
2016-12-19 15:35:37
@inproceedings{213420,
  abstract     = {In some applications the amount of data that must be worked on is quite large, and there needs to be some way of reducing the amount of data an algorithm has to work on.  The notion of alpha-cut is very useful in such situations.  Intuitionistic fuzzy sets have been defined by Atanassov in 1983 as an extension of fuzzy sets: while fuzzy sets give only a degree of membership, intuitionistic fuzzy sets give both a degree of membership and a degree of non-membership, with the only constraint that their sum must be less than or equal to 1.  In a previous paper we have presented an intuitionistic fuzzy version of the triangular compositions of Bandler and Kohout and their improved versions given by De Baets and Kerre.  In this paper we discuss the cutworthiness of the intuitionistic fuzzy triangular compositions.},
  author       = {Deschrijver, Glad and Kerre, Etienne},
  booktitle    = {Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications},
  isbn         = {7-302-06299-4},
  keyword      = {cutworthiness,alpha-cut,triangular composition,intuitionistic fuzzy relation,intuitionistic fuzzy set},
  language     = {eng},
  location     = {Beijing, China},
  pages        = {7--12},
  publisher    = {Tsinghua University Press / Springer},
  title        = {On the cuts of intuitionistic fuzzy compositions},
  year         = {2003},
}

Chicago
Deschrijver, Glad, and Etienne Kerre. 2003. “On the Cuts of Intuitionistic Fuzzy Compositions.” In Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications, 7–12. Tsinghua University Press / Springer.
APA
Deschrijver, Glad, & Kerre, E. (2003). On the cuts of intuitionistic fuzzy compositions. Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications (pp. 7–12). Presented at the International Conference on Fuzzy Information Processing: Theory and Applications (FIP), Tsinghua University Press / Springer.
Vancouver
1.
Deschrijver G, Kerre E. On the cuts of intuitionistic fuzzy compositions. Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications. Tsinghua University Press / Springer; 2003. p. 7–12.
MLA
Deschrijver, Glad, and Etienne Kerre. “On the Cuts of Intuitionistic Fuzzy Compositions.” Proceedings of the International Conference on Fuzzy Information Processing: Theory and Applications. Tsinghua University Press / Springer, 2003. 7–12. Print.