The possibilistic moments of fuzzy numbers and their applications

  • Authors:
  • A. Saeidifar;E. Pasha

  • Affiliations:
  • Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran 14515-775, Iran;Department of Mathematics, Teacher Training University, Tehran, Iran

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2009

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Abstract

This paper, introduces the nearest weighted interval and point approximations of a fuzzy number, and then suggests weighted possibilistic moments about these points of fuzzy numbers. The possibilistic moments play an important role in fuzzy sets and systems, specifically in physics, mathematics and statistics. We provide the definition of the moments of fuzzy numbers as well as the definition of moments in probability theory; some of their applications are mentioned.