in this paper, a mathematical method is proposed to formulate a generalized ordering problem. this model is formed as a linear optimization model in which some variables are binary. the constraints of the problem have been analyzed with the emphasis on the assessment of their importance in the formulation. on the one hand, these constraints enforce conditions on an arbitrary subgraph and then g...

Traditional Data Envelopment Analysis (DEA) models evaluate the efficiency of decision making units (DMUs) with common crisp input and output data. However, the data in real applications are often imprecise or ambiguous. This paper transforms fuzzy fractional DEA model constructed using fuzzy arithmetic, into the conventional crisp model. This transformation is performed considering the goal pr...

Production planning is a necessary process that directly affects the efficiency of production systems in most industries. The complexity current problem depends on increased options production, uncertainties demand and resources. In this study, stochastic multi-objective mixed-integer optimization model developed to ensure uncertainty conditions satisfy requirements sustainable development. sys...

Genetic Programming (GP), especially Geometric Semantic GP (GSGP), has shown great potential in solving numerical benchmarks in Symbolic Regression (SR) domain in recent years. However, its application on real-world problems is still limited due to the large sizes of the resulting expressions, which are prone to over-fitting and are difficult to interpret. In this paper, we suggest a combinatio...

The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conicting in nature. This paper presents an application of fuzzy goal programming to the linear multiobjective transportation problem. In this paper, we use a special type of nonlinear (hyperbolic and exponential) membership functions to ...

Environmental pollution has caused governments to be concerned about energy saving and the reduction of environmental pollution. Some researchers have presented resource allocation models as multi-objective linear programming (MOLP) in order pay more attention reduction. Energy affects both desirable undesirable outputs. In this paper, we argue for inapplicability existing reducing outputs thro...