Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:About the complement in 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/3/1/12-19
Title of paper: About the complement in intuitionistic fuzzy sets
Author(s):
Humberto Bustince
Depariamento de Automdtica y Computation, Public University of Navarre
Victoria Mohedano
Depariamento de Automdtica y Computation, Public University of Navarre
Published in: "Notes on IFS", Volume 3 (1997) Number 1, pages 12—19
Download:  PDF (2493  Kb, Info)
Abstract: In this paper form the definition of Intuitionistic Fuzzy Sets we analyze the Complementation in these sets. We start by defining the intuitionistic fuzzy complementation in order to then study the particular cases for which this definition coincides with the fuzzy complementation. Afterwards, we analyse the existence of equilibrium points, dual points and we present characterization theorems of intuitionistic fuzzy complements. Lastly, we study a manner of constructing intuitionistic fuzzy sets and analyse the structure of the complementary of intuitionistic fuzzy sets built.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy complementary, fuzzy negation, intu¬itionistic fuzzy negation.
References:
  1. C. Alsina, E. Trillas, L. Valverde, On some logical connectives for Fuzzy Sets Theory, J. Math. An. and Appl., 93 (1983) 15-26.
  2. K. Atanassov , Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20 (1986) 87-96.
  3. K Atanassov, Review and New Results on Intuitionistic Fuzzy Sets, IM-MFAIS, 1 (1988).
  4. K. Atanassov, Two operators on intuitionistic fuzzy sets, Comptes rendus de l'Academie bulgare des Sciences, Tome 41, 5 (1988).
  5. P. Burillo, H. Bustince , Construction theorems for intuitionistic fuzzy sets , will be published in Fuzzy sets and Systems, 84 (1996)
  6. P. Burillo, H. Bustince , Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy sets and Systems, 78 (1996) 305-316.
  7. P. Burillo, H. Bustince , Intuitionistic fuzzy relations (Part I), Mathware and Soft Computing, 2 (1995) 5-38.
  8. P. Burillo and H. Bustince, Estructuras algebraicas en conjuntos IFS, II Congreso Nacional de Logica y Tecnologia Fuzzy, Boadilla del Monte, Madrid, Spain (1992) 135-147.
  9. H. Bustince, Conjuntos Intuicionistas e Intervalo valorados Difusos: Propiedades y Con-struccion. Relaciones Intuicionistas Fuzzy. Thesis, Universidad Piiblica de Navarra (1994).
  10. H. Bustince, P. Burillo, Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy sets and Systems, 74 (1995) 237-244.
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.