Title of paper:
|
A note on a new category of intuitionistic fuzzy sets
|
Author(s):
|
Basil Papadopoulos
|
Dept. of Civil Engineering, Democritus Univ. of Thrace, GR-671 00 Xanthi, Greece
|
papadob@civil.duth.gr
|
Apostolos Syropoulos
|
, 366, 28" October Str., GR-671 00 Xanthi, Greece,
|
apostolo@obelix.ee.duth.gr
|
Krassimir Atanassov
|
CLBME, Bulgarian Academy of Sciences, P.O.Box 12, Sofia - 1113, Bulgaria
|
krat@argo.bas.bg
|
|
Presented at:
|
6th ICIFS, Varna, 13—14 Sept 2002
|
Published in:
|
Conference proceedings, "Notes on Intuitionistic Fuzzy Sets", Volume 8 (2002) Number 3, pages 54—56
|
Download:
|
PDF (4451 Kb, File info)
|
Abstract:
|
We define a new category of intuitionistic fuzzy sets that remedies problems found in all previous attempts to define categories of these objects. We also briefly study the properties of this category.
|
References:
|
- Atanassov, K. A Property of the Intuitionistic Fuzzy Logic Operations. Comptes Rendus de l'Academie Bulgare des Sciences 48, 4 (1995), 9-10.
- Atanassov K. Intuitionistic Fuzzy Sets. Springer-Verlag, Heidelberg, 1999.
- Barr, M. Fuzzy Set Theory and Topos Theory. Canad. Math. Bull. 29, 4 (1986), 501-508.
- Goguen, J. A. Concept Representation in Natural and Artificial Languages: Axioms, Extensions and Application for Fuzzy Sets. Int. J. Man-Machine Studies 6 (1974), 513-561.
- McLane, S. Category Theory for the Working Mathematician, second ed. Springer-Verlag, New York, 1998.
- Papadopoulos, B. K., Syropoulos, A. Categorical models of intuitionistic fuzzy sets. submitted for publication, 2001.
- Xue-hai, Y. Category IFuz and WTOPOS. Notes on IFS 3, 2 (1997).
- Xue-hai, Y. The power object of category IFuz. Notes on IFS 3, 3 (1997).
- Yon, Y., Kim K. On intuitionistic Fuzzy Filters and Ideals of Lattices, Far East J. Math. Sci. 1, 3 (1999), 429-442.
- Yuan, X. Categories of the Intuitionistic Fuzzy Sets. Journal of Liaoning Normal University 2 (1993), 99-103. In Chinese.
|
Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|