Semigroups on some new operations over intuitionistic fuzzy matrices

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DOI:

https://doi.org/10.26637/MJM0804/0162

Abstract

In this article, different kinds of component wise max-max operations are introduced on intuitionistic fuzzy matrix and some algebraic properties are studied together with the component wise min−min(∧m) operation. Also some semigroup algebraic structures are constructed using these new operations on intuitionistic fuzzy matrices.

Keywords:

Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Matrix (IFM), Semigroup

Mathematics Subject Classification:

Mathematics
  • T. Muthuraji Department of Mathematics, Annamalai University, Annamalainagar-608002, Tamil Nadu, India.
  • Pages: 2273-2276
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

K. Atanassov, Intuitionistic Fuzzy Sets, VII ITKR's Section, Sofia (Deposed in Central Sci. Tech. Library of Bulg. Acad. of Sci., 1697/84) June 1983.

K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and System, 20(1) (1986) 87-96. DOI: https://doi.org/10.1016/S0165-0114(86)80034-3

A.K. Adak, M. Bhowmik, M.Pal, Semiring of generalized Interval-valued IFMS, World Appl. Sci. Journal, 16 (2012) 7-16.

A.K. Adak, M. Bhowmik, M.Pal, Some properties of generalized Intuitionistic Fuzzy Nilpotent Matrices over Distributive lattice, Fuzzy Inf. Engg., (2012) 4, 371-387. DOI: https://doi.org/10.1007/s12543-012-0121-1

E.G. Emam, M.A. Fndh, Some results associated with the max-min, min-max compositions of bifuzzy matrices, 24 (4) (2016), 515-521. DOI: https://doi.org/10.1016/j.joems.2016.04.005

Y.B. Im, E.P. Lee and S.W. Park, The Determinant of square Intuitionistic Fuzzy Matrices, Far East Journal of Mathematical Sciences, 3 (5) (2001) 789-796.

Y.B. Im, E.P. Lee and S.W. Park, The Adjoint of Square Intuitionistic Fuzzy Matrices, Journal of Applied Maths and Computing (Series A), Vol 11 (1-2) (2003), 401-412.

Khan S.K, Pal. M and Shyamal.A.K, Intuitionistic Fuzzy Matrices, Notes on Intuitionistic Fuzzy Sets, 8 (2) (2002)

S.K. Khan and M. Paul, Some operations on IFMS, Acta Ciencia Indica, XXXIIM, (2006) 515-524.

Lalitha. K, Min-Min operation on Intuitionistic Fuzzy Matrices, Journal of Emerging Techonogy and Innovative Research, 4 (8) (2017), 382-385.

T. Muthuraji, S. Sriram, P. Murugadas, Decomposition of IFMS, Fuzzy Information and Engg., 8 (3) (2016), 345-354. DOI: https://doi.org/10.1016/j.fiae.2016.09.003

M.Z. Ragab, E.G. Emam, On the min-max composition of fuzzy matrices, Fuzzy Sets and System, 75 (1995) 8392. DOI: https://doi.org/10.1016/0165-0114(94)00332-2

Riyaz Ahmad Padder, P. Murugadas, Max-Max operations on IFMS, Annals of Fuzzy Mathematics and Informatics.

S. Sriram, P. Murugadas, On semiring of IFM, Applied Mathematical Sciences, 4 (2010) 23, 1099-1105.

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Published

01-10-2020

How to Cite

T. Muthuraji. “Semigroups on Some New Operations over Intuitionistic Fuzzy Matrices”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2273-6, doi:10.26637/MJM0804/0162.

Issue

Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2020 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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