As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: March 2025.

Issue:A note on a new category of intuitionistic fuzzy sets

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/8/3/54-56
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: "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:
  1. Atanassov, K. A Property of the Intuitionistic Fuzzy Logic Operations. Comptes Rendus de l'Academie Bulgare des Sciences 48, 4 (1995), 9-10.
  2. Atanassov K. Intuitionistic Fuzzy Sets. Springer-Verlag, Heidelberg, 1999.
  3. Barr, M. Fuzzy Set Theory and Topos Theory. Canad. Math. Bull. 29, 4 (1986), 501-508.
  4. 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.
  5. McLane, S. Category Theory for the Working Mathematician, second ed. Springer-Verlag, New York, 1998.
  6. Papadopoulos, B. K., Syropoulos, A. Categorical models of intuitionistic fuzzy sets. submitted for publication, 2001.
  7. Xue-hai, Y. Category IFuz and WTOPOS. Notes on IFS 3, 2 (1997).
  8. Xue-hai, Y. The power object of category IFuz. Notes on IFS 3, 3 (1997).
  9. Yon, Y., Kim K. On intuitionistic Fuzzy Filters and Ideals of Lattices, Far East J. Math. Sci. 1, 3 (1999), 429-442.
  10. 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.