We discuss two approaches to duality for multiple objective linear problems. The first approach is based on a duality relation between a set and its complement in the outcome space. It allows us to obtain a number of known duality constructions. The second approach utilizes polarity between a polyhedral set and the epigraph of its support function. It leads to a parametric dual problem which is...

In practical applications of mathematical programming it is frequently observed that the decision maker prefers apparently suboptimal solutions. A natural explanation for this phenomenon is that the applied mathematical model was not sufficiently realistic and did not fully represent all the decision makers criteria and constraints. Since multicriteria optimization approaches are specifically d...

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; ...