DINAS is an interactive system to aid solving various multiobje~tive transshipment problems with facility focation using IBM-PC XT:AT or compatibles. DINAS utilizes the so-called aspiration-based (or reference point) approach to interactive handling of multiple objectives. In this approach the decision maker forms his/her requirements in terms of aspiration and reservation levels, i.e. specifie...

This paper presents a multiple reference point approach for multi-objective optimization problems of discrete and combinatorial nature. When approximating the Pareto Frontier, multiple reference points can be used instead of traditional techniques. These multiple reference points can easily be implemented in a parallel algorithmic framework. The reference points can be uniformly distributed wit...

In this paper, an interactive version of the ParEGO algorithm is introduced for identifying most preferred solutions for computationally expensive multiobjective optimization problems. It enables a decision maker to guide the search with her preferences and change them in case new insight is gained about the feasibility of the preferences. At each interaction, the decision maker is shown a subs...

We consider multiple criteria decision-making problems where a group of decision-makers wants to find the most preferred solution from a discrete set of alternatives. We develop a method that uses achievement scalarizing functions for charting subsets of reference points that would support a certain alternative to be the most preferred one. The resulting descriptive information is provided to t...

In this work, we propose a novel methodology to identify parameters of compartmental epidemiological models. It is based on solving multi-objective optimization problem that consists in fitting some the model outputs real observations. First, according available data considered epidemic, define where are variables. Then, solved by considering particular algorithm called ParWASF-GA (Parallel Wei...

Generalized scalarizing problems, called GENS and GENSLex, for obtaining Pareto optimal solutions of multicriteria optimization problems are presented in the paper. The basic properties of these scalarizing problems are described. The existence of single-criterion problems with differentiable objective functions and constraints, which are equivalent to GENS and GENSLex scalarizing problems, are...

A web-based Decision Support System WebOptim for solving multiple objective optimization problems is presented. Its basic characteristics are: user-independent, multisolver-admissibility, method-independent, heterogeneity, web-accessibility. Core system module is an original generalized interactive scalarizing method. It incorporates a number of thirteen interactive methods. Most of the known s...