Original Research Article

Article volume = 2024 and issue = 1

Pages: 37–51

Article publication Date: December 05, 2023

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Characterization of Fuzzy, Intuitionistic Fuzzy and Neutrosophic Fuzzy Matrices

M. Anandhkumar and Said Broumi

(a) Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram,Tamilnadu, India

(b) Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca-Settat, Morocco.

Abstract:

In this research endeavour, we will undertake a comprehensive examination of the distinctions existing among various types of matrices, including real matrices, fuzzy matrices, intuitionistic fuzzy matrices, and neutrosophic fuzzy matrices. To enhance our understanding of these matrix types, we will illustrate the concepts with practical numerical examples. Additionally, we will provide a thorough exploration of the limitations and advantages associated with each of these matrix types.

Keywords:

Fuzzy Matrices, Intuitionistic Fuzzy Matrices, Neutrosophic Fuzzy Matrices, Interval valued Fuzzy Matrices, Interval valued Intuitionistic Fuzzy Matrices, Interval valued Neutrosophic Fuzzy Matrices.

References:
  • [1] Zadeh, L.A. Fuzzy sets. , Information and Controll., 8(3) (1965),338-353. 1
  • [2] Atanassov, K.T Intuitionistic fuzzy sets. , Fuzzy Sets and Systems, 20(1) (1986), 87-96 1
  • [3] Thomason, M.G. Convergence of powers of a fuzzy matrix, Journal of Mathematical Analysis and Applications 57(2) (1977), 476-480. 1
  • [4] Kim, K.H., Roush, F.W. Generalized fuzzy matrices, Fuzzy Sets and Systems 4(3) (1980), 293-315. 1
  • [5] Anandhkumar. M., Kamalakannan, V., Chitra, S.M. Said, B. Pseudo similarity of neutrosophic fuzzy matrices., International Journal of Neutrosophic Science 20(4) (2023), 191-196. 1
  • [6] Anandhkumar, M., Kanimozhi, B., Chithra, S.M., Kamalakannan, V., Said, B. . On various Inverse of neutrosophic fuzzy matrices.,International Journal of Neutrosophic Science 21(2) (2023), 20-31. 1
  • [7] Smarandache,F. Neutrosophic set, a generalization of the intuitionistic fuzzy set,Int J Pure Appl Math. 24(3) (2005), 287–297. 1
  • [8] G.Punithavalli and M.Anandhkumar Secondary k-Kernel Symmetric Intuitionistic Fuzzy Matrices.,Mathematical Statistician and Engineering Applications . 71(4) (2022), 2094-0343. 1
  • [9] M.Anandhkumar; G.Punithavalli; T.Soupramanien; Said Broumi, GeneralizedSymmetric Neutrosophic Fuzzy Matrices.,Neutrosophic Sets and Systems . 57 (2023), 114–127. 1
  • [10] M.Anandhkumar; G.Punithavalli; Interval Valued Secondary k-KernelSymmetric Fuzzy Matrices.Indian Journal of Natural Sciences . 14 (2023), 114–127. 1
  • [11] Anandhkumar, M., Kanimozhi, B., Chithra, S.M., Kamalakannan, V., Said, B.;On various Inverse of Neutrosophic Fuzzy Matrices,.International Journal of Neutrosophic Science. 21(2) (2023), . 20–31 1
Cite this article as:
  • M. Anandhkumar and Said Broumi, Characterization of Fuzzy, Intuitionistic Fuzzy and Neutrosophic Fuzzy Matrices, Communications in Combinatorics, Cryptography & Computer Science, 2024(1), PP.37–51, 2023
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