On weighted possibilistic mean and variance of fuzzy numbers

  • Authors:

  • Robert Fullér;Péter Majlender

  • Affiliations:

  • Department of Operations Research, Eötvös Loránd University, Budapest, Hungary and Institute for Advanced Management Systems Research (IAMSR), Åbo Akademi University, Åbo, ...;Turku Centre for Computer Science, Institute for Advanced Management Systems Research, Åbo Akademi University, Lemminkäinengatan 14B, FIN-20520 Åbo, Finland

  • Venue:
  • Fuzzy Sets and Systems - Theme: Basic concepts
  • Year:
  • 2003

Quantified Score

Hi-index 0.01

Visualization

Abstract

Dubois and Prade defined an interval-valued expectation of fuzzy numbers, viewing them as consonant random sets. Carlsson and Fullér defined an interval-valued mean value of fuzzy numbers, viewing them as possibility distributions. In this paper, we shall introduce the notation of weighted interval-valued possibilistic mean value of fuzzy numbers and investigate its relationship to the interval-valued probabilistic mean. We shall also introduce the notations of crisp weighted possibilistic mean value, variance and covariance of fuzzy numbers, which are consistent with the extension principle. Furthermore, we show that the weighted variance of linear combination of fuzzy numbers can be computed in a similar manner as in probability theory.