Title of paper:

Intuitionistic fuzzy index matrix representation of color images

Author(s):

R. K. Nivendhaa

Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India

nivedhaakarangmail.com

R. Parvathi

Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India

paarvathisrediffmail.com


Published in:

Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 4, pages 64–70

DOI:

https://doi.org/10.7546/nifs.2020.26.4.6470

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Abstract:

It is usual in image processing that binary (black & white) and gray images are represented by crisp sets and fuzzy sets respectively. In this paper, an attempt has been made to represent a color image (RGB) using intuitionistic fuzzy index matrices. The objective of this representation is to apply mathematical operators on intuitionistic fuzzy index matrices in processing RGB images.

Keywords:

3D – index matrix, 3D – intuitionistic fuzzy index matrices, 3 folded – intuitionistic fuzzy index matrix, Image representation.

AMS Classification:

03E72, 11C20, 68U10.

References:

 Traneva, V. (2014). On 3dimensional intuitionistic fuzzy index matrices. 10th Int. Workshop on IFSs, Banska Bystrica, (29 Sept. 2014). Notes on Intuitionistic Fuzzy Sets, 20(4), 59–64.
 Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer International Publishing Switzerland. Studies in Computational Intelligence 573. pp. 30, 95–98.
 Atanassov, K. (1994). Index matrix representation of the intuitionistic fuzzy graphs. Proceeding of Fifth Scientific Session of the Math. Foundations of Artificial Intelligence Seminar, Sofia, 36–41. Accessed 5 Oct 1994 (Preprint MRLMFAIS1094).
 Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18.
 Atanassov, K. (2010). On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, 20(2), 291–302.
 Atanassov, K. (2010). On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, 13(2), 121–126.
 Parvathi, R., Thilagavathi, S., Thamizhendhi, G., & Karunambigai, M. G. (2014). Index matrix representation of intuitionistic fuzzy graphs. Notes Intuitionistic Fuzzy Sets, 20(2), 100–108.

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