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Issue:On extended intuitionistic fuzzy index matrices

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Title of paper: On extended intuitionistic fuzzy index matrices
Author(s):
Krassimir Atanassov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
Prof. Asen Zlatarov University, 1 "Prof. Yakimov" Blvd., Bourgas--8000, Bulgaria
krat@bas.bg
Published in: "Notes on IFS", Volume 19, 2013, Number 4, pages 27—41
Download:  PDF (202  Kb, Info)
Abstract: In this paper the concept of intuitionistic fuzzy index matrix is extended. Its basic properties are discussed and statements are formulated.
Keywords: Index matrix, Intuitionistic fuzziness, Matrix, Operation, Relation.
AMS Classification: 11C20.
References:
  1. Atanassov, K. Generalized index matrices, Comptes rendus de l'Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15-18.
  2. Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
  3. Atanassov, K. On index matrices. Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291-302.
  4. Atanassov, K. On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121-126.
  5. Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  6. Atanassov, K. On index matrices, Part 3: On the hierarchical operation over index matrices. Advanced Studies in Contemporary Mathematics, Vol. 23, 2013, No. 2, 225-231.
  7. Atanassov, K., E. Szmidt, J. Kacprzyk. On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1-13.
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