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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…

Optimization and Control · Mathematics 2025-09-09 Zhiyuan Wang , Gade Pandu Rangaiah

Multi-criteria decision making (MCDM) is necessary for choosing one from the available alternatives (or from the obtained Pareto-optimal solutions for multi-objective optimization), where the performance of each alternative is quantified…

Chemical Physics · Physics 2024-11-18 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

In multi-criteria decision making (MCDM) problems, ratings are assigned to the alternatives on different criteria by the expert group. In this paper, we propose a thermodynamically consistent model for MCDM using the analogies for…

Artificial Intelligence · Computer Science 2017-03-28 Mohit Verma , J. Rajasankar

A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The ranking of alternatives that are evaluated based on multiple criteria is difficult, since the presence of multiple criteria…

Applications · Statistics 2018-07-17 Daniel Kostner

We introduce a method for explaining the results of various linear and hierarchical multi-criteria decision-making (MCDM) techniques such as WSM and AHP. The two key ideas are (A) to maintain a fine-grained representation of the values…

Artificial Intelligence · Computer Science 2022-09-13 Martin Erwig , Prashant Kumar

Multi-Criteria Decision Analysis (MCDA) methods are widely used in various fields and disciplines. While most of the research has been focused on the development and improvement of new MCDA methods, relatively limited attention has been…

Artificial Intelligence · Computer Science 2018-10-29 Jarosław Wątróbski , Jarosław Jankowski , Paweł Ziemba , Artur Karczmarczyk , Magdalena Zioło

The process of multiple criteria decision making (MCDM) is of determining the best choice among all of the probable alternatives. The problem of supplier selection on which decision maker has usually vague and imprecise knowledge is a…

Artificial Intelligence · Computer Science 2020-01-01 Rıdvan Şahin , Muhammed Yiğider

Multi-Criteria Decision Making (MCDM) is a branch of operations research used in a variety of domains from health care to engineering to facilitate decision-making among multiple options based on specific criteria. Several R packages have…

Mathematical Software · Computer Science 2025-02-14 Annice Najafi , Shokoufeh Mirzaei

Multi-criteria decision-making (MCDM) problems involve the evaluation of alternatives based on various minimization and maximization criteria. Similarly, efficiency evaluation (EA) methods assess decision-making units (DMUs) by analyzing…

Optimization and Control · Mathematics 2024-06-11 Fuh-Hwa Franklin Liu , Su-Chuan Shih

Each decision-making tool should be tested and validated in real case studies to be practical and fit to global problems. The application of multi-criteria decision-making methods (MCDM) is currently a trend to rank alternatives. In the…

Artificial Intelligence · Computer Science 2024-05-07 Rôlin Gabriel Rasoanaivo , Morteza Yazdani , Pascale Zaraté , Amirhossein Fateh

A number of Multiple Criteria Decision Analysis (MCDA) methods have been developed to rank alternatives based on several decision criteria. Usually, MCDA methods deal with the criteria value at the time the decision is made without…

Artificial Intelligence · Computer Science 2020-10-23 Betania S. C. Campello , Leonardo T. Duarte , João M. T. Romano

We present the Multiple Criteria Decision Analysis Methods Selection Software (MCDA-MSS). This decision support system helps analysts answering a recurring question in decision science: Which is the most suitable Multiple Criteria Decision…

Artificial Intelligence · Computer Science 2021-06-15 Marco Cinelli , Miłosz Kadziński , Grzegorz Miebs , Michael Gonzalez , Roman Słowiński

The fundamental problem underlying all multi-criteria decision analysis (MCDA) problems is that of dominance between any two alternatives: "Given two alternatives A and B, each described by a set criteria, is A preferred to B with respect…

Artificial Intelligence · Computer Science 2015-08-05 Ankit Agrawal

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

Artificial Intelligence · Computer Science 2026-03-23 Takaaki Fujita , Florentin Smarandache

In this book we introduce a new procedure called \alpha-Discounting Method for Multi-Criteria Decision Making (\alpha-D MCDM), which is as an alternative and extension of Saaty Analytical Hierarchy Process (AHP). It works for any number of…

Artificial Intelligence · Computer Science 2015-10-05 Florentin Smarandache

This chapter assesses the sensitivity of multi-criteria decision-making (MCDM) methods to modifications within the decision or objective matrix (DOM) in the context of chemical engineering optimization applications. Employing eight common…

Chemical Physics · Physics 2025-07-11 Seyed Reza Nabavi , Zhiyuan Wang , Gade Pandu Rangaiah

Multi-Criteria Decision-Making (MCDM) techniques have found widespread application across diverse fields. The rapid evolution of MCDM has led to the development of hundreds of methods, each employing distinct approaches. However, due to…

Other Statistics · Statistics 2025-09-11 Nguyen Thi Thu Hien , Pham Huong Quynh , Vu Quang Minh

Multi-Criteria Decision Analysis (MCDA) is extensively used across diverse industries to assess and rank alternatives. Among numerous MCDA methods developed to solve real-world ranking problems, TOPSIS remains one of the most popular…

Artificial Intelligence · Computer Science 2025-02-27 Robert Susmaga , Izabela Szczech , Dariusz Brzezinski

Multi-criteria Analysis (MCA) is used to rank alternatives based on various criteria. Key MCA methods, such as Multiple Criteria Decision Making (MCDM) methods, estimate parameters for criteria to compute the performance of each…

Artificial Intelligence · Computer Science 2026-04-14 Fuh-Hwa Franklin Liu , Su-Chuan Shih

Modern methods for multi-criteria assessment (MCA), such as Data Envelopment Analysis (DEA), Stochastic Frontier Analysis (SFA), and Multiple Criteria Decision-Making (MCDM), are utilized to appraise a collection of Decision-Making Units…

Artificial Intelligence · Computer Science 2025-07-15 Fuh-Hwa Franklin Liu , Su-Chuan Shih
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