Random Field, Interval Field, Fuzzy Field and Mixed Field

Material properties are assumed to be random parameters, interval parameters and fuzzy parameters. If the variation range is large, they are not assumed to be constants. Two improved methods of the random field are developed. The midpoint method, local average method, interpolation method and improved interpolation method of interval field are addressed. The midpoint method, local average method, interpolation method and improved interpolation method of the fuzzy field are presented. The calculation method of mixed field is discussed and the calculation formula is proposed. 

Keywords: Stochastic field, interval field, Fuzzy field, mixed field, The midpoint method, Local average method, Interpolation method, Improved interpolation method.