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Numerical methods for Fuzzy system of linear equations with crisp coefficient

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In this paper, numerical algorithms for solving fuzzy system of linear equations with crisp coefficients are presented. We illustrate the efficiency and accuracy of the proposed methods by solving some numerical examples. We also provide graphical representation of the fuzzy solutions in three-dimension as a visual reference of the solution of the fuzzy system.

Abstract

In this paper, numerical algorithms for solving fuzzy system of linear equations with crisp coefficients are presented. We illustrate the efficiency and accuracy of the proposed methods by solving some numerical examples. We also provide graphical representation of the fuzzy solutions in three-dimension as a visual reference of the solution of the fuzzy system.

참고문헌 (11)

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  6. 전윤배, "AN ACCELERATING SCHEME OF CONVERGENCE TO SOLVE FUZZY NON-LINEAR EQUATIONS", 순수 및 응용수학, 24(1), pp.45~51 (2017), 한국수학교육학회[DOI]
  7. A. Rivaz, "Iterative methods for solving system of fuzzy Sylvester equations", Int. J. Appl. Math., 26, pp.283~294 (2013)
  8. G.K. Saha, "A new approach to solve fuzzy non-linear equations using fixed point iteration algorithm", J. Bangladesh Math. Soc., 32, pp.15~21 (2012)
  9. Salahuddin, "Iterative algorithms for a fuzzy system of random nonlinear equations in Hilbert spaces", 대한수학회논문집, 32(2), pp.333~352 (2017), 대한수학회
  10. X. Wang, "Iteration algorithms for solving a system of fuzzy linear equations", Fuzzy Sets and Systems, 119, pp.121~128 (2001)
  11. L.A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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