| Title of paper:
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More basic operations and modal operators over 3-dimensional intuitionistic fuzzy index matrices
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| Author(s):
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| Velichka Traneva
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| “Prof. Asen Zlatarov” University, 1 “Prof. Yakimov” Blvd, Bourgas 8000, Bulgaria
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| veleka13@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 20 (2014), Number 5, pages 17–25
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| Download:
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 PDF (192 Kb, File info)
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| Abstract:
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An extension of the concept of an Intuitionistic Fuzzy Index Matrix (IFIM) was introduced, called 3-dimensional Intuitionistic Fuzzy Index Matrix (3D-IFIM). In this paper will be introduced more basic operations and modal operators defined over 3D-IFIMs.
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| Keywords:
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Index matrix, Matrix, Operation, Intuitionistic fuzzy pairs, Modal operators.
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| AMS Classification:
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03E72, 11C20.
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| References:
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- Atanassov, K., Conditions in generalized nets, Proc. of the XIII Spring Conf. of the Union of Bulg. Math., Sunny Beach, April 1984, 219–226.
- Atanassov, K., Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
- Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus, Studies in Computational Intelligence, Vol. 573, Springer, Switzerland, 2014.
- Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1–13.
- Traneva, V., P. Rangasami, K. Atanassov, On 3-dimensional index matrices, International Journal of Research in Science (in press).
- Traneva, V., On 3-dimensional intuitionistic fuzzy index matrices, Notes on Intuitionistic Fuzzy Sets, Vol. 20, 2014, No. 4, 2014, 59–64.
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