multi-criteria decision making methods and their

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Proceedings of the International Conference on Industrial Engineering and Operations Management Dubai, UAE, March 10-12, 2020 © IEOM Society International Multi-Criteria Decision Making Methods And Their Applications– A Literature Review Fatma Eltarabishi Department of Industrial Management and Engineering Management, University of Sharjah Sharjah, UAE [email protected] Omar Hassan Omar Department of Industrial Management and Engineering Management, University of Sharjah Sharjah, UAE [email protected] Imad Alsyouf Department of Industrial Management and Engineering Management, Sustainable Engineering Asset Management (SEAM) Research Group, University of Sharjah Sharjah, UAE [email protected] Maamar Bettayeb Electrical Engineering Department, University of Sharjah, Sharjah, UAE and CEIES, King Abdulaziz University, Jeddah, KSA [email protected] Abstract Multi-criteria decision-making is gaining high popularity in solving decision-making problems in various fields. Decision-makers use multi-criteria decision-making methods to solve problems daily due to their capability of decomposing complex problems to their simplest form. This paper aims to review the literature from 2015 to 2019 to analyze the most common methods used in real-world applications. A review of 89 articles is presented to conclude that Hybrid methods are the most commonly used techniques in real-world applications in the period of 2015 to 2019. This paper also discusses the change in the trend of multi- criteria decision-making methods when compared to Mardani's article. Keywords MCDM techniques, Hybrid methods, AHP, TOPSIS, ELECTRE. I. INTRODUCTION Decision making is an intricate process in which organizations suffer to obtain the final desired outcome successfully. The decision-making process is the act of selecting the most suitable action to fulfill the desired goals and objectives [1]. Because decision making is a daily task in our everyday routines, effective tools should be used to analyze all aspects of decision-making problems. Multi-Criteria Decision Making (MCDM) is a well-structured and multidimensional process developed to tackle decision-making problems in different fields and search for the most attractive alternative with consideration of all relevant criteria. Due to its powerful tools, it analyzes complex decision-making problems in different fields. This method improves the quality of decision-making to become more rational and efficient [2]. Undoubtedly, MCDM has grown recently and been utilized in different fields such as sustainable energy[2,3], maintenance management [4,5], construction management[6], tourism management [7], machine selection [8], material selection [9], petroleum [10], supply chain management [11], aviation [12,13]and risk management [14]. MCDM methods are considered the most recommended tools when dealing with decision-making problems in various fields. Unfortunately, the identification of a single methodology in any field is difficult. Decision-makers can select different techniques for the same problem, and different results are approached. This is considered as the main limitation of MCDM [17]. For example, in the renewable energy field, Akash et al. [15] used the Analytical Hierarchy Process (AHP) to select a power plant in Jordan. However, Mladineo et al. [16] used PROMETHE to select a small hydro plant. 2654

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Page 1: Multi-Criteria Decision Making Methods And Their

Proceedings of the International Conference on Industrial Engineering and Operations Management Dubai, UAE, March 10-12, 2020

© IEOM Society International

Multi-Criteria Decision Making Methods And Their Applications– A Literature Review

Fatma Eltarabishi

Department of Industrial Management and Engineering Management, University of Sharjah

Sharjah, UAE [email protected] Omar Hassan Omar

Department of Industrial Management and Engineering Management, University of Sharjah

Sharjah, UAE [email protected]

Imad Alsyouf Department of Industrial Management and Engineering Management, Sustainable Engineering Asset Management (SEAM) Research Group,

University of Sharjah Sharjah, UAE

[email protected] Maamar Bettayeb

Electrical Engineering Department, University of Sharjah, Sharjah, UAE and CEIES, King Abdulaziz University, Jeddah, KSA

[email protected]

Abstract Multi-criteria decision-making is gaining high popularity in solving decision-making problems in various fields. Decision-makers use multi-criteria decision-making methods to solve problems daily due to their capability of decomposing complex problems to their simplest form. This paper aims to review the literature from 2015 to 2019 to analyze the most common methods used in real-world applications. A review of 89 articles is presented to conclude that Hybrid methods are the most commonly used techniques in real-world applications in the period of 2015 to 2019. This paper also discusses the change in the trend of multi-criteria decision-making methods when compared to Mardani's article. Keywords MCDM techniques, Hybrid methods, AHP, TOPSIS, ELECTRE. I. INTRODUCTION

Decision making is an intricate process in which organizations suffer to obtain the final desired outcome successfully. The decision-making process is the act of selecting the most suitable action to fulfill the desired goals and objectives [1]. Because decision making is a daily task in our everyday routines, effective tools should be used to analyze all aspects of decision-making problems. Multi-Criteria Decision Making (MCDM) is a well-structured and multidimensional process developed to tackle decision-making problems in different fields and search for the most attractive alternative with consideration of all relevant criteria. Due to its powerful tools, it analyzes complex decision-making problems in different fields. This method improves the quality of decision-making to become more rational and efficient [2]. Undoubtedly, MCDM has grown recently and been utilized in different fields such as sustainable energy[2,3], maintenance management [4,5], construction management[6], tourism management [7], machine selection [8], material selection [9], petroleum [10], supply chain management [11], aviation [12,13]and risk management [14]. MCDM methods are considered the most recommended tools when dealing with decision-making problems in various fields. Unfortunately, the identification of a single methodology in any field is difficult. Decision-makers can select different techniques for the same problem, and different results are approached. This is considered as the main limitation of MCDM [17]. For example, in the renewable energy field, Akash et al. [15] used the Analytical Hierarchy Process (AHP) to select a power plant in Jordan. However, Mladineo et al. [16] used PROMETHE to select a small hydro plant.

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MCDM is in continuous evolution every day. Hence, decision-makers should always review the literature to capture the updates and be able to improve their decision in real applications. To guide the decision-makers, we have updated Mardani et al. [18] paper that reviewed the use of MCDM methods and their development from 2000 to 2014. We believe that the use of MCDM methods has further developed in the last few years. Therefore, this study aims to review the literature from 2015 to 2019 to answer the following questions: (1) What are the most commonly MCDM methods used in real-world applications? (2) How is the trend of MCDM methods changing when compared to Mardani's article?

The organization of this research paper is as follows: Section II gives a brief overview of the MCDM methods in the literature. Section III discusses the methodology used in this study and presents the findings obtained by answering the research questions, and finally, Section IV presents the conclusion.

II. LITERATURE REVIEW OF MCDM METHODS

MCDM serves as an aid for decision-making but not to make the decision. In other words, MCDM does not prescribe how decisions should be made. It only leads to logical and reasonable decision rankings [71]. According to many authors, MCDM methods are classified into two groups due to the different problem settings [19]: Multi-Attribute Decision Making (MADM) and Multi-Objective Decision Making (MODM).

MADM deals with decision problems that have an implicit objective and a discrete decision space (finite number of alternatives and attributes). On the other hand, MODM problems have explicit objectives and a continuous decision space (infinite number of alternatives and attributes). Not all multi-objective problems have well-defined alternatives. Therefore, different methods are applied based on the nature of decision problems. Figure 1 presents the most well-known and applied methods in various fields. However, other MCDM methods are still practiced, but most decision-makers refer to the methods in Figure 1.

Figure 1. MADM and MODM methods

Most MCDM decision problems deal with discrete decision space MADM [3]. Hence, only the most common MADM methods will be briefly discussed below.

Analytical Hierarchy Process (AHP) is one of the most frequently used methods in real situations due to its natural ease. AHP determines the weight criteria, ranks alternatives, or both simultaneously. Ratnayake and Markese [20] used AHP to select a maintenance strategy of oil and gas installation considering the health, safety, environmental, and financial criteria. Rajak and Shaw [21] applied AHP to weight criteria during the selection of ideal mobile health (mHealth) applications. Chourabi et al. [22] evaluated workforce selection problems in the apparel industry using AHP. Usually, decision-makers use AHP in complex

Multi-Criteria Decision Making (MCDM)

Multi-Attribute Decision Making (MADM)

Analytical Hierarchy Process (AHP) & Analytic Network Process (ANP)

Et Choice Translating Reality (ELECTRE)

VIšekriterijumsko KOmpromisno Rangiranje (VIKOR)

Weight Sum Model (WSM) & Weight Product Model (WPM)

Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE)

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS)

Decision Making Trial and Evaluation Laboratory (DEMATEAL)

Multi-Objective Decision Making (MODM)

linear Programming

Goal Programming

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problems due to its capability of decomposing any problem to a hierarchy structure, showing clearly the main goal, criteria, and sub-criteria that affect decision-making, and all the feasible alternatives. The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a unique method that uses simple and logical-mathematical concepts. It is an easy and straightforward process [3]. The best alternative should have the shortest distance from the reference point while the furthest distance from the anti-ideal point in Euclidean space [8]. Compared to Weighed-Sum Procedure (WSP), TOPSIS is more sensitive, as Simanaviciene & Ustinovichius [21] stated. Štirbanović et al. [8] applied TOPSIS to select the most suitable flotation machine. In material selection problems, Mousavi-Nasab & Sotoudeh-Anvari [9] and Chakraborty & Chatterjee [23] applied the TOPSIS approach because of its comprehensiveness and simplicity. Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) is an outranking method that estimates the strength of one alternative over the other. Different versions of PROMETHEE are applied based on the nature of the problem (i.e., PROMETHEE I for partial ranking and PROMETHEE II for full ranking). Mohamadabadi et al. [24] studied the most appropriate transportation fuel vehicle using PROMETHEE. Oberschmidt et al. [25] evaluated the energy technologies based on efficiency, cost, and availability criteria. Et Choice Translating Reality (ELECTRE) is another outranking method that uses pair-wise comparison to prefer an alternative, among others. This method eliminates the least favorable alternative, which makes it suitable for decision problems with few criteria and many alternatives. A significant criticism of ELECTRE is its long computational process when compared to other techniques [3]. Sites for subsurface dams construction were ranked by Dortaj et al. [26] using ELECTRE. Öztürk et al.[27] selected the most appropriate supplier for a cable company in Samsun using ELECTRE. The methodological process to achieve the aim of this study is illustrated as follows: Phase I presents a brief overview of Mardani et al. [18] paper. Phase II conducts a literature review for MCDM articles during the period from 2015 to 2019. Phase III classifies the MCDM identified articles based on the techniques used and the year of publication, as it was done in Mardani’s paper. Phase IV analyses the outcomes of Phase III and compares the results with Mardani's paper.

III. RESULTS AND DISCUSSION This section follows the methodological procedures introduced in Section II to obtain answers to the previously stated research questions. Phase I: Overview of Mardani’s paper Mardani et al. [18] reviewed a total of 393 articles from 2000 to 2014. The paper documented the development of MCDM methods. One of the main results of the paper is the frequency distribution of the most used MCDM methods, as shown in Figure 2. The methods were listed from the most frequently used method to the least frequently used one.

Figure 2. Mardani's distribution of MCDM methods

Mardani et al. [18] classified the articles based on the use of MCDM methods, including; AHP, TOPSIS, ELECTRE, ANP, PROMETHEE, DEMATEL, VIKOR, hybrid MCDM, and DM aggregation methods. As Mardani’s paper stated, hybrid methods involve the combination of two or more different methods for the sake of obtaining better results. Aggregate methods are Complex Proportional Assessment (COPRAS), Additive Ratio Assessment (ARAS), Weighted aggregated sum product assessment

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(WASPAS), Step-wise Weight Assessment Ratio Analysis (SWARA) and Multi-Objective Optimization by Ratio Analysis (MOORA or MULTIMOORA). MULTIMOORA is the updated version of MOORA. Phase II: Literature review results from 2015 to 2019. In this study, like the method adopted by Mardani's paper and based on its outcomes, we conducted a literature review for the MCDM articles published in scientific databases during the period starting from 2015 to 2019. The aim is to map out the most common decision-making techniques published over the last five years. The research used most keywords that were used in Mardani's paper: PROMETHEE, DEMATEL, AHP, TOPSIS, ELECTRE, VIKOR, ARAS, ANP, and COPRAS. As a result, we selected 89 articles from different fields that deal with different decision-making problems. The selection of these articles was based on their relevance, citation number, and whether each paper discusses the application of MCDM thoroughly. This literature review is not exhaustive, it is planned to cover more methods and extend the paper selection criteria in a full journal paper. Phase III: Classification of searched articles For the scope of this study, each article is classified based on the year of publication and the MCDM method used to tackle the decision-making problem. Distribution of MCDM papers over time While the articles were intensified between the years 2015 and 2019, it is observed in Figure 3 that generally, MCDM methods have more interest throughout the years. It can be predicted that the use of MCDM tools will increase in all decision-making problems due to its growing trend.

Figure 3. Distribution of the number of MCDM publications over time.

Distribution based on MCDM approaches Figure (4) presents the distribution of the 89 articles based on MCDM methods. Based on the 89 articles researched, the top-ranked MCDM methods used are the hybrid methods with 28 articles (32%), AHP follows with 19 articles (21%), and aggregated methods with 16 articles (18%). ELECTRE and TOPSIS are almost equally ranked. Finally, the other MCDM methods are shown in Figure 4.

Figure 4. Distribution of publications based on MCDM methods

It is clearly displayed that hybrid methods are obtaining a well-known reputation as Mardani’s paper predicted. Noticeably, many articles that used the hybrid method, Özcan et al. [50], He et al. [35], Rajak & Shaw [53], Abdel-Malak et al. [52], Parezanović et al. [60] and Kumar et al. [70] combined AHP for weight criteria and TOPSIS for alternative ranking. The majority of hybrid methods use AHP to weigh criteria, while only five articles used other methods (BWM or ANP). Decision-makers find it challenging to select a single method as each has its pros and cons [41]. Therefore, decision-makers find it advantageous to combine two methods to increase the pros of both methods and try to mitigate the cons as much as possible. While researching

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ANP, VIKOR, DEMATEL and PROMETHEE, it was difficult to find articles that used each method individually to obtain a result. On the other hand, many papers [55,62,71] combined these methods with other methods (Hybrid methods).

Phase IV: Comparison of results with Mardani’s paper The results in Table 1 help in answering the second research question. It shows how the trend of the used methods changed throughout the years. Hybrid methods have developed well to become the first and most appropriate choice for decision-makers. Although TOPSIS is characterized by its simple process, ease of use, and high computational efficiency [72,17], its use became scarce recently. Similarly, the ELECTRE method is ranked just after TOPSIS, although it is also highly efficient [72]. Surprisingly, TOPSIS and ELECTRE have not advanced nor became less useful. However, they stayed stable in both periods. According to Amirshenava & Osanloo [56], PROMETHEE is devoid of ELECTRE limitations such as complex calculations and a time-consuming process. However, PROMETHEE is ranked after ELECTRE in both results.

Table 1. Comparison of the rank of MCDM methods over time. 2000-2014 2015-2019 AHP 1 2 TOPSIS 4 4 ELECTRE 5 5 Hybrid MCDM 2 1 Aggregation methods 3 3 ANP 6 7 PROMETHEE 7 6 VIKOR 8 8 DEMATEL 9 9

The usage of single methods such as AHP, ELECTRE, and TOPSIS purely are becoming less popular in solving decision-making problems when compared to previous years. Hybrid MCDM is the leading method where most decision-makers refer to it for more efficient selections. Ghenai et al. [68] stated that the SWARA method improves the criteria prioritization process, which means more reliable decision-making. Therefore, Aggregation methods are suggested to be the new leading technique in the next upcoming years due to their higher efficiency and reliability. IV. CONCLUSION A review of the published literature in MCDM methods used over the last five years was presented in this paper. The use of MCDM methods is in continuous development throughout the years. Thus, observing the trends in solving decision-making problems is essential. In this paper, the authors conducted an updated literature review and analyzed the identified papers. It was found that the most common methods used in real-world applications are hybrid methods. This result confirms what Mardani's paper predicted. Mardani's paper results showed that the AHP method was the most common method from 2000 to 2014. In our results, we concluded that hybrid methods were ranked first during the period 2015 to 2019, and AHP methods were ranked second; the answer to our second research question. Overall, this study suggests that, in the coming future, aggregate methods will be used more regularly due to their higher efficiency and effectiveness.

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Biographies

Fatma Eltarabishi is a full-time student of Engineering Management at University of Sharjah, UAE and earned a degree in Bachelor of Science in Nuclear Engineering from University of Sharjah, UAE. Research Interest: Multi-Criteria Decision Making (MCDM), Engineering Management, Safety Engineering Management and Radiation protection. Omar Hassan Omar is a Laboratory Engineer in the Department of Industrial Engineering and Engineering Management at the University of Sharjah and holder of a degree in Bachelor of Science in Industrial Engineering and Engineering Management. In addition, a current student in the Master of Science in Engineering Management program at the University of Sharjah. Research interests include: Multi-Criteria Decision Making (MCDM), Engineering Management, Safety Engineering Management and Tribology and Slip, trip & fall.” Imad Alsyouf is an associate professor of Industrial Engineering, employed by University of Sharjah, UAE. He is the founder and coordinator of the Sustainable Engineering Asset Management (SEAM) Research Group. He has produced more than 67 conference and journal papers. He has about 30 years of industrial and academic experience in various positions in Jordan, Sweden and UAE. His research interests include reliability, quality, maintenance, and optimization. He has developed and taught more than 25 post and undergrad courses. He delivered training courses in Kaizen, TQM, and organizational excellence. Maamar Bettayeb received the B.S., M.S., and Ph.D. degrees in Electrical Engineering from University of Southern California, Los Angeles, in 1976, 1978 and 1981, respectively. He worked as a Research Scientist at the Bellaire Research Center at Shell Oil Development Company, Houston, Texas, USA. From 1982 to 1988, He directed the Instrumentation and Control Laboratory of High Commission for Research in Algeria. In 1988, He joined the Electrical Engineering Department at King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. He has been Professor at University of Sharjah UAE since August 2000. He is the Vice Chancellor for Research and Graduate Studies at University of Sharjah, starting September 2014. He has published over 350 journal and conference papers in the fields of control and signal processing. He has also supervised over 50 M. Sc. and Ph. D. students. His recent research interest is in process control, fractional dynamics and control, soft computing, and renewable energies.

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