A fuzzy risk model and its matrix algorithm

  • Authors:

  • Chongfu Huang;Claudio Moraga

  • Affiliations:

  • Institute of Resources Science, Beijing Normal University, No. 19 Xinjiekouwai Street, Beijing 100875, China;Department of Computer Science, Computer Engineering and Computing Education, University of Dortmund, Otto-Hahn-Str. 16, 44227 Dortmund, Germany

  • Venue:
  • International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
  • Year:
  • 2002

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Abstract

In this paper, we introduce the interior-outer-set model for calculating a fuzzy risk represented by a possibility-probability distribution. The model involving combination calculus is very difficult to follow. In this paper, we transform it into a matrix algorithm. Although the algorithm is still difficult to follow, fortunately, it is easy to make a computer program for realizing. This algorithm consists of MOVING-subalgorithm and INDEX-subalgorithm. The former works out leaving and joining matrices. The latter is a combination algorithm to get index sets. An example is presented showing how a user can calculate a risk of strong earthquake with the algorithm.