Sentence examples for both stochastic and fuzzy from inspiring English sources

The probabilistic fuzzy set (PFS) is designed for handling the uncertainties with both stochastic and fuzzy nature.

We investigated the design of a decentralized supply chain (SC) network as a multi-period multi-product production distribution planning problem in the presence of both stochastic uncertainty and fuzzy uncertainty.

The model is a mixed stochastic and fuzzy programming one.

Open image in new window Fig. 8 WT and PV outputs errors between deterministic, stochastic, and fuzzy stochastic optimization and the actual.

To tackle these uncertain coefficients, stochastic and fuzzy approaches are commonly used, and accordingly stochastic and fuzzy bilevel programming problems are proposed.

Therefore, stochastic and fuzzy simulation techniques are employed to indirectly obtain the expected values of fuzzy stochastic variables in this paper.

In this step, uncertain variables are generated according to the corresponding stochastic and fuzzy distributions.

Let M s be the number of stochastic and fuzzy simulations, and then referring to (38) the fuzzy stochastic variable can be changed into a pure variable.

Here, we address a simplification of the stochastic and fuzzy variables.

For stochastic and fuzzy variable terms, we introduce chance-constrained programming (CCP) of (Charnes and Cooper 1962).

As shown in (3), the sum of the stochastic variable and the fuzzy variable is the fuzzy stochastic variable [13], where (P_{{ell.{text{random}}}}) and (P_{{ell.{text{fuzzy}}}}) represent the stochastic and fuzzy portions of the output power, respectively.