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Chapter 8 Multi-Criteria Decision-Making: Aggregation-Type Methods

2025/09/08 by Zhiyuan Wang, Wang, Zhiyuan, Gade Pandu Rangaiah +1
Decision Sciences · #FOS: Mathematics #Multi-Criteria Decision Making #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2509.06388

openalex publication_date 2025/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This chapter describes selected aggregation-type multi-criteria decision-making (MCDM) methods that convert an alternatives-criteria matrix (ACM) into a single performance score per alternative through additive, multiplicative or hybrid manipulations, for ranking the alternatives. The 8 methods are: Simple Additive Weighting (SAW), Multiplicative Exponent Weighting (MEW), Analytic Hierarchy Process (AHP), Analytic Network Process (ANP), Complex Proportional Assessment (COPRAS), Multi-Objective Optimization on the basis of Ratio Analysis (MOORA), Faire Un Choix Adequat (FUCA) and Weighted Aggregated Sum Product Assessment (WASPAS). This chapter details the algorithm of each method step-by-step, illustrating every procedure with a common ACM example and full numerical calculations. Practical strengths and weaknesses of every method are outlined. A consolidated summary shows how different methods can lead to variations in the final rankings. This chapter enables the readers to: (1) explain the principles and algorithms of aggregation-type methods covered, (2) implement them on an ACM, and (3) select one or more suitable aggregation-type MCDM methods for their applications.

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