# Interactive Selection of Reference Sets in Multistage Bipolar Method

## TL;DR

This paper introduces an interactive method for selecting reference sets in decision-making processes, aiming to optimize resource allocation in regional development.

## Contribution

The paper proposes a novel interactive procedure for generating reference sets in multistage decision processes.

## Key findings

- The Multistage Bipolar method integrates reference point-based approaches with interactive decision-making.
- An interactive procedure is developed to select acceptable reference objects for each stage.
- The method is applied to a mathematical model for resource allocation in regional development planning.

## Abstract

In this paper, the Multistage Bipolar method is developed. The paper presents a synthesis of three streams related to multiple criteria decision-making: the reference point-based approach, the interactive approach and multistage decision processes. A significant problem, the solution of which is a prerequisite for the application of the Multistage Bipolar method, is the determination of the sets of reference objects for subsequent stages. This paper addresses the question of how to utilize an interactive multi-criteria approach to select subsets of ‘good’ and ‘bad’ objects for each stage of the considered process, which the decision-maker will accept as sets of reference objects. Its objective is to propose an interactive procedure for generating these sets. The approach proposed in this paper is illustrated by the utilization of stage sets of reference points, generated via the proposed interactive procedure, within a mathematical model for resource allocation in a multistage regional development planning problem. The problem addressed constitutes a mathematical economics model, while simultaneously demonstrating that multi-criteria methods are widely applicable in management. Of fundamental importance here is the expenditure of public funds in a manner that yields maximum benefits for citizens.