| Title of paper:
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Intuitionistic fuzzy index matrix representation of color images
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| Author(s):
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| R. K. Nivendhaa
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| Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
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| nivedhaakaran@gmail.com
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| R. Parvathi
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| Department of Mathematics, Vellalar College for Women, Erode, Tamilnadu, India
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| paarvathis@rediffmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 4, pages 64–70
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| DOI:
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https://doi.org/10.7546/nifs.2020.26.4.64-70
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| Download:
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 PDF (138 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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3D – index matrix, 3D – intuitionistic fuzzy index matrices, 3 folded – intuitionistic fuzzy index matrix, Image representation.
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| AMS Classification:
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03E72, 11C20, 68U10.
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| References:
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- Traneva, V. (2014). On 3-dimensional 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 MRL-MFAIS-10-94).
- Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18.
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- 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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