Mathematical Expectation About Discrete Random Variable With Interval Probability(DRVIP) or Fuzzy Probability(DRVFP)

XIAO Sheng-xie; LÜ En-lin

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(10): 1253-1260

XIAO Sheng-xie, LÜ En-lin. Mathematical Expectation About Discrete Random Variable With Interval Probability(DRVIP) or Fuzzy Probability(DRVFP)[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1253-1260.

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Mathematical Expectation About Discrete Random Variable With Interval Probability(DRVIP) or Fuzzy Probability(DRVFP)

XIAO Sheng-xie¹,
LÜ En-lin²

1.
Department of Engineering Mechanics, Chongqing Jiaotong University, Chongqing 400074, P. R. China;

Received Date: 2003-09-16
Rev Recd Date: 2005-06-10
Publish Date: 2005-10-15

Abstract

Abstract

The character and an algorithm about DRVIP(discrete randam variable with interval probability) and the second kind DRVFP (discrete random variable with crisp event-fuzzy probability) are researched. Using the fuzzy resolution theorem, the solving mathematical expectation of a DRVFP can be translated into solving mathematical expectation of a series of RVIP. It is obvious that solving mathematical expectation of a DRVIP is typically solving a linear programming problem. A very functional calculating formula solving mathematical expectation of DRVIP was obtained by using the Dantzig's simplex method. The example indicates that the result obtained by using the functional calculate formula fits together completely with the result obtained by using the linear programming method, but the process using the formula deduced is simpler.
- interval number,
- fuzzy set,
- probability,
- random variable,
- mathematical expectation

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References(8)

References

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