Sentence examples for both random and fuzzy from inspiring English sources

For the hybrid uncertain temperature field prediction involving both random and fuzzy uncertainties in material properties, external loads and boundary conditions, this paper proposes a new numerical technique named fuzzy stochastic finite element method (FSFEM) by a combination of perturbation theory and moment method.

Finally, the architecture of perceptual computer is extended, and the computing with words engine by means of linguistic weighted average method is adopted to obtain the overall score of each route, enabling both random and fuzzy uncertainties existing universally in the data to be effectively managed in a unified format.

This paper presents a novel solution procedure for inverse reliability problems with implicit response functions without requiring the derivatives of the response functions with respect to the uncertain variables, that can be used to determine the unknown design parameters such that prescribed reliability indices are attained in the presence of mixed uncertain (both random and fuzzy) variables.

A stochastic fuzzy multi-objective programming model is developed for supply chain outsourcing risk management in presence of both random uncertainty and fuzzy uncertainty.

This concept may be regard as an extension of both random variable and fuzzy variable.

Recently, great progress has been made towards the theories and applications of random sets and fuzzy random sets in the areas of information science, probability, and statistics.

Also for more detailed results about limit theorems of random sets and fuzzy random sets, we refer the readers to Li et al. [27] and references therein.

Further, by considering the concepts of random mappings and fuzzy mappings, Haung [39] was first introduced the concept of random fuzzy mapping.

The theories of interval-valued functions, functions of random variables, and fuzzy functions are well-developed.

We recall the notions of fuzzy random variable and fuzzy stochastic process.

We recall also the notations of fuzzy random variable and fuzzy stochastic process.