Probabilistic or stochastic programming is a framework for modeling optimization problems that involve uncertainty.In this paper, we focus on multi-objective linear programmingproblems in which the coefficients of constraints and the righthand side vector are fuzzy random variables. There are several methodsin the literature that convert this problem to a stochastic or<b...

Quadratic programming can be seen both as a general approach to linear programming and a special class of nonlinear programming. Moreover, Quadratic Programming problems are of utmost importance in a variety of relevant practical fields, such as, portfolio selection. This work presents and develops a novel fuzzy-sets-based method that solves a class of quadratic programming problems with vaguen...

Planning of sewer systems typically involves limitations and problems, regardless whether traditional planning methods or optimization models are used. Such problems include non-quantifiability, fuzzy objectives, uncertainties in decision-making variables which commonly applied the any process. Particularly, have prevented inclusion these models. Consequently, theoretical optional solution math...

Blending is a classical and well-known optimization problem that has been applied in the food, steel, composite material industries. However, tea blending more complicated than general problems due to variety of products, processes, sources raw materials semi-products. So, this research, fuzzy multi-objective model for was proposed minimize total production cost deviation quality target score; ...

This paper presents interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters. In fuzzy programming for multi-level linear programming problems, recently developed by Lai et al., since the fuzzy goals are determined for both an objective function and decision variables at the upper level, undesirable solutions are produced when these fuzzy goals are inconsi...

This paper presents fuzzy goal programming approach to quadratic bi-level programming problem. In the model formulation of the problem, we construct the quadratic membership functions by determining individual best solutions of the quadratic objective functions subject to the system constraints. The quadratic membership functions are then transformed into equivalent linear membership functions ...