Chance-constrained programming with fuzzy stochastic coefficients

Abstract

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Integrated material-financial supply chain master planning under mixed uncertainty

“…Among them, an efficient procedure developed in [46] is adopted to transform each random fuzzy variable to its equivalent trapezoidal fuzzy number. It is worth mentioning that other treatment procedures, such as those frameworks presented in Aiche et al [1] , could be used in the future research. To elaborate the adopted procedure, we first define random fuzzy variables as follows: Definition 1.…”

A perspective on the extension of stochastic orderings to fuzzy random variables

“…Special cases of this approach for generalizing statistical preference to fuzzy random variables can be found in [3], where one computes P ({ω : R(X(ω),Ỹ (ω)) > α}). In particular, the degree of overlap ov(X,Ỹ ) is replaced by other fuzzy interval comparison indices, including several ones where the two fuzzy sets (X(ω),Ỹ (ω)) are viewed as nested random sets.…”

Fuzzy Programming Approach to a Multi-Objective Fuzzy Stochastic Routing and Siting Hazardous Wastes

“…The idea on the fuzz-ifying approach to multi-objective stochastic programming problem were developed by Mohan and Nguyen [20] . Recent developments in fuzzy stochastic problem can be found in (Acharya and Biswal [21] , Sakawa et al [22] , Wang and Watada [23] , Mousavi et al [24] , Sakawa and Matsui [25] , Aiche et al [26] , Acharya et al [27,28] , Li et al [29] ).…”