Triangular approximations of fuzzy numbers using α-weighted valuations

  • Authors:

  • S. Abbasbandy;E. Ahmady;N. Ahmady

  • Affiliations:

  • Islamic Azad University, Department of Mathematics, Science and Research Branch, 14778, Tehran, Iran and Imam Khomeini International University, Department of Mathematics, 34149-16818, Ghazvin, Ir ...;Islamic Azad University, Shahryar-shahr-e-Qods-Branch, Tehran, Iran;Islamic Azad University, Department of Mathematics, Pishva-Varamin Branch, Tehran, Iran

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • Year:
  • 2009

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Abstract

In this paper, a fuzzy triangular approximation using α-weighted valuations is introduced and the nearest approximation by the minimization technique is obtained, such that the computational complexity is less than that in Abbasbandy and Amirfakhrian 2006. Moreover, we investigate some reasonable properties of the α-weighted triangular approximation.