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Global Identification of Co-Translational Interaction Networks by Selective Ribosome Profiling

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Interactive Selection of Reference Sets in Multistage Bipolar Method.

Maciej Nowak¹, Tadeusz Trzaskalik¹

¹Department of Operations Research, University of Economics in Katowice, 40-287 Katowice, Poland.

Entropy (Basel, Switzerland)

|January 28, 2026

Summary

This study introduces the Multistage Bipolar method for multi-criteria decision-making. It develops an interactive procedure to select reference objects, improving resource allocation in regional planning.

Keywords:

Multistage Bipolar method interactive approach mathematical economics multiple criteria decision making public management reference point-based approach regional development planning

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Area of Science:

Operations Research
Decision Science

Background:

Multiple criteria decision-making (MCDA) involves complex choices with multiple objectives.
Existing MCDA methods often struggle with multistage processes and defining reference points.
Interactive approaches enhance decision-maker involvement in complex MCDA.

Purpose of the Study:

To develop the Multistage Bipolar method for MCDA.
To propose an interactive procedure for generating reference object sets for multistage decision processes.
To demonstrate the method's application in resource allocation for regional development planning.

Main Methods:

Synthesis of reference point-based, interactive, and multistage decision approaches.
Development of an interactive multi-criteria procedure to select 'good' and 'bad' reference objects.
Application within a mathematical economics model for resource allocation.

Main Results:

Successful generation of stage sets of reference points using the interactive procedure.
Integration of these sets into a resource allocation model for multistage regional planning.
Demonstration of the Multistage Bipolar method's effectiveness in complex management scenarios.

Conclusions:

The proposed interactive procedure effectively generates reference object sets for multistage decision-making.
The Multistage Bipolar method offers a robust framework for resource allocation and regional development planning.
Multi-criteria decision-making methods are highly applicable to management problems, especially concerning public fund allocation for maximum citizen benefit.