ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES

S. Chanthirababu; M. Anandhkumar; A Venkatesh

ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES

Abstract

The characterization of interval valued secondary k- kernel symmetric Intuitionistic fuzzy matrices have been examined in this study. It is discussed how interval valued s-k kernel symmetric, s-kernel symmetric, interval valued k- kernel symmetric, and interval valued kernel symmetric matrices relate to one another. We establish the necessary and sufficient criteria for interval valued s-k kernel symmetric Intuitionistic fuzzy matrices.

Keywords

Thanks

I render my heartful thanks to Prof. Dr. (Mrs.) AR. Meenakshi, Former AICTE - Emeritus Professor of Mathematics, Annamalai University, for her expert guidance and Dr. D. Jayashree, Assistant Professor, Department of Mathematics. Government Arts and Science College, Hosur.

References

Atanassov, K., (1986), Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), pp. 87-96.
Atanassov, K., (1994), Operations over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), pp. 159-174.
Hashimoto, H., (1983), Canonical form of a transitive matrix, Fuzzy Sets and Systems, 11(3), 157-162.
Kim K. H., and Roush F. W., (1980), Generalised fuzzy matrices, Fuzzy Sets and Systems, 4(3), 293-315.
Pal, M., Khanand S. K., Shyamal A. K., Intuitionisticfuzzymatrices, (2002), Notes on Intuitionistic Fuzzy Sets, 8(2), pp.51-62.
Lee, A., (1976), Secondary Symmetric, Secondary Skew Symmetric, Secondary Orthogonal Matrices, Period Math, Hungary, 7(2), pp. 63-76.
Hill R. D., and Waters S. R., (1992), On k-Real and k-Hermitian matrices, Linear Algebra and its Applications, 169(4), pp. 17-29.
Meenakshi A. R., (2008), Fuzzy Matrix: Theory and Applications, MJP Publishers, Chennai.

Meenakshi A. R., and Krishanmoorthy S., (2009),On Secondary k-Hermitian matrices, Journal of Modern Science, 1, pp. 70-78.
Shyamal A. K., and Pal, M., (2006), Interval valued Fuzzy matrices, Journal of Fuzzy Mathematics, 14(3) , pp. 582-592.
Meenakshi A. R., and Kalliraja, M., (2010), Regular Interval valued Fuzzy matrices, Advance in Fuzzy Mathematics, 5(1), pp. 7-15.
Pal, M., and Khan, S., (2014), Interval-Valued Intuitionistic Fuzzy Matrices, NIFS 11(1), pp. 16-27.
Anandhkumar, M., Punithavalli, R., Jegan, R., and Broumi, S., (2024), Interval Valued Secondary k-Range Symmetric Neutrosophic Fuzzy Matrices, Neutrosophic Sets and Systems, 61(1), pp. 177-195.
Punithavalli, G., Anandhkumar, M., (2024), Reverse Sharp and Left-T Right-T Partial Ordering On Intuitionistic Fuzzy Matrices, TWMS J. App. and Eng. Math. 14(4), pp. 1772-1783.
Anandhkumar, M., Kanimozhi, B., Chithra, S. M., Kamalakannan, V., (2023), Reverse Tilde (T) and Minus Partial Ordering on Intuitionistic fuzzy matrices, Mathematical Modelling of Engineering Problems, 10(4), pp. 1427–1432.
Punithavalli, G., Anandhkumar, M., (2024), Kernel and K-Kernel Symmetric Intuitionistic Fuzzy Matrices, TWMS J. App. and Eng. Math, 14(3), pp. 1231-1240.
Anandhkumar, V., Kanimozhi, B., Chithra S. M. ., Kamalakannan,V., (2023), Reverse Tilde (T) and Minus Partial Ordering on Intuitionistic fuzzy matrices, Mathematical Modelling of Engineering Problems, 10(4), pp. 1427–1432.
Radhika, K., Harikrishnan, T., Ambrose Prabhu, V., Tharaniya, P., John Peter, M., Anandhkumar, M., (2025), On Schur Complement in k-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices, Neutrosophic Sets and Systems, 78(1), pp. 292-322.
Radhika, K., Senthil, S., Kavitha, N., Jegan, R., Anandhkumar, M., Bobin, A., (2025), Interval Valued Secondary k-Range Symmetric Quadri Partitioned Neutrosophic Fuzzy Matrices with Decision Making, Neutrosophic Sets and Systems, 78(1), pp. 506-539.
Prathab, H., Ramalingam, N., Janaki, E., Bobin, A., Kamalakannan, V., and Anandhkumar, M., (2024), Interval Valued Secondary k-Range Symmetric Fuzzy Matrices with Generalized Inverses, IAENG International Journal of Computer Science, 51(12), pp. 2051-2066.

Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

S. Chanthirababu ^* This is me
0009-0000-4707-6908
India

M. Anandhkumar This is me
0000-0002-6119-7180
India

A Venkatesh
0000-0002-8011-4213
India

Publication Date

January 8, 2026

Submission Date

December 13, 2024

Acceptance Date

June 14, 2025

Published in Issue

Year 2026 Volume: 16 Number: 1

IZ

https://izlik.org/JA47GM39CJ

Cite

RIS / Bibtex

APA

Chanthirababu, S., Anandhkumar, M., & Venkatesh, A. (2026). ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES. TWMS Journal of Applied and Engineering Mathematics, 16(1), 32-47. https://izlik.org/JA47GM39CJ

AMA

1.Chanthirababu S, Anandhkumar M, Venkatesh A. ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES. JAEM. 2026;16(1):32-47. https://izlik.org/JA47GM39CJ

Chicago

Chanthirababu, S., M. Anandhkumar, and A Venkatesh. 2026. “ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES”. TWMS Journal of Applied and Engineering Mathematics 16 (1): 32-47. https://izlik.org/JA47GM39CJ.

EndNote

Chanthirababu S, Anandhkumar M, Venkatesh A (January 1, 2026) ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES. TWMS Journal of Applied and Engineering Mathematics 16 1 32–47.

IEEE

[1]S. Chanthirababu, M. Anandhkumar, and A. Venkatesh, “ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES”, JAEM, vol. 16, no. 1, pp. 32–47, Jan. 2026, [Online]. Available: https://izlik.org/JA47GM39CJ

ISNAD

Chanthirababu, S. - Anandhkumar, M. - Venkatesh, A. “ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES”. TWMS Journal of Applied and Engineering Mathematics 16/1 (January 1, 2026): 32-47. https://izlik.org/JA47GM39CJ.

JAMA

1.Chanthirababu S, Anandhkumar M, Venkatesh A. ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES. JAEM. 2026;16:32–47.

MLA

Chanthirababu, S., et al. “ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 1, Jan. 2026, pp. 32-47, https://izlik.org/JA47GM39CJ.

Vancouver

1.S. Chanthirababu, M. Anandhkumar, A Venkatesh. ALGEBRAIC PROPERTIES OF KERNEL SYMMETRIC INTUITIONISTIC FUZZY MATRICES. JAEM [Internet]. 2026 Jan. 1;16(1):32-47. Available from: https://izlik.org/JA47GM39CJ