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: September/October 2024.

Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:About the intuitionistic fuzzy set generators

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 17:10, 28 August 2024 by Vassia Atanassova (talk | contribs) (Text replacement - ""Notes on IFS", Volume " to ""Notes on Intuitionistic Fuzzy Sets", Volume ")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/3/4/21-27
Title of paper: About the intuitionistic fuzzy set generators
Author(s):
Humberto Bustince
Departamento de Automatica y Computación, Public University of Navarra, 31006, Campus Arrosadía, Pamplona, Spain
bustince@si.upna.es
Victoria Mohedano
Departamento de Automatica y Computación, Public University of Navarra
Presented at: 5th ICIFS, Sofia, 18—19 Oct. 1997
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 3 (1997) Number 4, pages 21—27
Download:  PDF (301  Kb, File info)
Abstract: In this paper form the definition of Intuitionistic Fuzzy Sets we analyze the Intuitionistic fuzzy Generators and the Complementation in these sets. We start by defining the intuitionistic fuzzy generators 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 generators.

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, Intuitionistic fuzzy generator
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'Academi 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 Lógica y Tecnologia Fuzzy, Boadilla del Monte, Madrid, Spain (1992) 135-147.
  9. H. Bustince, Conjuntos Intuicionistas e Intervalo valorados Difusos: Propiedades y Construcción. Relaciones Intuicionistas Fuzzy. Thesis, Universidad Publica de Navarra (1994).
  10. H. Bustince, P. Burillo, Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy sets and Systems, 74 (1995) 237-244.
  11. H. Bustince, P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy sets and Systems, 78 (1996) 293-303.
  12. M. Sugeno, Theory of fuzzy integrals and its applications. Thesis. Tokyo Institute of Technology (1974).
  13. E. Trillas, Sobre funciones de negacion en la teoria de conjuntos difusos, Stochasstica, III-1 (1979) 47-59.
  14. E. Trillas, C. Alsina, J.M. Terricabras, Introducción a la lógica borrosa, Ariel Matematica, (1995).
  15. R. Yager, On On a general class of fuzzy connectives, Fuzzy Sets and Systems, 4 (1980) 338-353.
  16. R. Yager, On the measure of fuzziness and negation. Part I: Membership in the unit interval, Intern. J. of General Systems, 5 (1979) 221-229.
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.