Applied Mathematics and Mechanics

, Volume 26, Issue 10, pp 1312–1318

# Interval analysis of fuzzy-random heat conduction in composite tubes

• Chang-hong Liu
• Qiu Chen
Article

## Abstract

During the analysis of stability heat conduction in the composite tubes, firstly, when the temperature boundary conditions are the random conditions, equations of the mean values and variances of the random thermal function are transformed. Secondly, when the heat conduct parameters are the fuzzy numbers and the temperature boundary conditions are the random numbers, interval equations of the heat conduction are presented. Thirdly, by comparison of the interval results, the result in the interval analysis is larger than that in the confidence interval. Moreover the error expecting equation is presented. Finally, with upper (lower) approximation in rough set theory, a new method of the interval analysis to deal with the stability heat conduction is presented.

## Key words

heat conduct fuzzy random interval number rough set theory

O159

74A15 08A72

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