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Issue:Orderings in the referential set induced by an intuitionistic fuzzy relation

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http://ifigenia.org/wiki/issue:nifs/1/2/93-103
Title of paper: Orderings in the referential set induced by an intuitionistic fuzzy relation
Author(s):
Pedro Burillo
Departamento de Matematica е Informatica, Universidad Publico de Navarra, Spain
Humberto Bustince
Departamento de Matematica е Informatica, Universidad Publico de Navarra, 31006, Campus Arrosadia, Pamplona, Spain
Published in: "Notes on IFS", Volume 1 (1995) Number 2, pages 93—103
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Abstract: In this paper we present different orderings in the referential set induced by intuitionistic fuzzy relations of ordering. We can see how these induced orders justify the definition given of intuitionistic fuzzy antisymmetry and the definition of partial enclosure.
Keywords: Intuitionistic fuzzy relation; composition of intuitionistic fuzzy relation; fuzzy relation; intuitionistic ordering relation; intuitionistic similarity relation; intuitionistic dissimilarity relation; antisymmetrical intuitionistic property; partially included relation.
References:
  1. Atanassov K. T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20: 87-96 (1986).
  2. Atanassov K. T. Review and new results on intuitionistic fuzzy sets. IM-MFAIS-1 (1988).
  3. Atanassov K. T. Two operators on intuitionistic fuzzy sets. Comptes rendus de I'Academie bulgare des Sciences , 41: 35-38 (1988).
  4. Buhaescu T. T. Some Observations on Intuitionistic Fuzzy Relations. Itimerat Seminar on Functional Equations, 111-118.
  5. Burillo P. Y Bustince H. Estructuras Algebraicas en Conjuntos Intuicionistas Fuzzy, II Congreso Espanol Sobre Tecnologias у Logica Fuzzy, Boadilla del Monte, Madrid, 135-146 (1992).
  6. Burillo P. and Bustince H. Intuitionistic fuzzy relations (part I), sent to the magazine Matwhare, (1994).
  7. Burillo P. and Bustince H. Intuitionistic fuzzy relations (part II), Effect of Atanassov's operators on the properties of the intuitionistic fuzzy relations, sent to the magazine Matwhare, (1994).
  8. Bustince H. Conjuntos Intuicionistas е Intervalo valorados Difusos: Propiedades у Construction. Relaciones Intuicionistas Fuzzy. Thesis, Universidad Publica de Navarra, (1994)
  9. Kaufmann A. Introduction a la Theorie des Sous-Ensembles Flous. Vol I, II, III у IV, Masson, 1977.
  10. L. A. Zadeh. Similarity Relations and Fuzzy Orderings. Information Sciences, 3: 177-200 (1971).
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