Solving Fully Fuzzy Linear Systems with Triangular and Pentagonal Fuzzy Numbers

Authors

  • Thangaraj Beaula Department of Mathematics, T.B.M.L. College (Affiliated to Bharathidasan University), Porayar-609307, Tamil Nadu, India; edwinbeaula@yahoo.co.in
  • L Mohan Department of Mathematics, SRM Valliammai Engineering College, Kattankulathur, Chennai-603203, Tamil Nadu, India; mohanpackirisamy@gmail.com

DOI:

https://doi.org/10.23755/rm.v45i0.1033

Keywords:

Fully fuzzy linear systems, Triangular fuzzy number, Pentagonal fuzzy number, fuzzy systems

Abstract

In this paper algorithms are proposed to solve fully fuzzy linear system (FFLS) using triangular fuzzy number and pentagonal fuzzy number by converting the system into block system of linear equations known as associated fuzzy system. The method is illustrated by numerical examples.

References

Abbasi SMM, Jalali A, A novel approach for solving fully fuzzy linear systems and their duality. J Intell Fuzzy Syst 37(2):2609–2619, 2019

AbdelhalimZiqan, Sabreen Ibrahim, Mohammad marabeh, Ammar Qaraiyah , Fully fuzzy linear systems with trapezoidal and hexagonal fuzzy numbers. Granular Computing volume 7, 2021, pages 229–238.

Abidin AS, Mashadi M, Sri G (2019) Algebraic modification of trapezoidal fuzzy numbers to complete fully fuzzy linear equations system using gauss-jacobi method. Int J Manag Fuzzy Syst, 2019, 5(2):40–46.

Allahviranloo T, Numerical methods for fuzzy system of linear equations. Appl Math Comput,2004, 155(2):493–502.

Araghi MAF, Zarei E, Dynamical control of computations using the iterative methods to solve fully fuzzy linear systems. Adv Fuzzy Logic Technology, 2017, 641:55–68.

Khalid Ak, Othman ZS, A preliminary study of numerical solutions for fully fuzzy linear system. Malaysian J Ind Technology, 2019, 3(1):20–26.

Karthik NJ, Chandrasekaran E, Solving fully fuzzy linear systems with trapezoidal fuzzy number matrices by partitioning. International Journal of Computer Applications,2019, 64(9).

Siahlooei E, Fazeli SAS, An application of interval arithmetic for solving fully fuzzy linear systems with trapezoidal fuzzy numbers. Adv Fuzzy System,2018, 2018:10

Sotoudeh-Anvari A, A critical review on theoretical drawbacks and mathematical incorrect assumptions in fuzzy or methods: Review from 2010 to 2020. Applied Soft Computing 93, 2020

Vahidi J, RezvaniS Arithmetic operations on trapezoidal fuzzy numbers. J Nonlinear Anal Appl 2013:1–8.

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Published

2023-01-30

Issue

Vol. 45 (2023): Special Issue: Advances in Applied and Intellectual Mathematics

Section

Volume 44-2022

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