{"title":"Why We Need Desirable Properties in Pairwise Comparison Methods?","authors":"Radomír Perzina, Jaroslav Ramík","doi":"10.1002/mcda.70002","DOIUrl":"https://doi.org/10.1002/mcda.70002","url":null,"abstract":"<div>\u0000 \u0000 <p>Pairwise comparison matrices (PCMs) are inevitable tools in some important multiple-criteria decision-making methods, for example AHP/ANP, TOPSIS, PROMETHEE and others. In this paper, we investigate some important properties of PCMs which influence the generated priority vectors for the final ranking of the given alternatives. The main subproblem of the Analytic Hierarchy Process (AHP) is to calculate the priority vectors, that is, the weights assigned to the elements of the hierarchy (criteria, sub-criteria, and/or alternatives or variants), by using the information provided in the form of a pairwise comparison matrix. Given a set of elements, and a corresponding pairwise comparison matrix, whose entries evaluate the relative importance of the elements with respect to a given criterion, the final ranking of the given alternatives is evaluated. We investigate some important and natural properties of PCMs called the desirable properties, particularly, the non-dominance, consistency, intensity and coherence, which influence the generated priority vectors. Usually, the priority vector is calculated based on some well-known method, for example, the Eigenvector Method, the Arithmetic Mean Method, the Geometric Mean Method, the Least Square Method, and so forth. The novelty of our approach is that the priority vector is calculated as the solution of an optimization problem where an error objective function is minimised with respect to constraints given by the desirable properties. The properties of the optimal solution are discussed and some illustrating examples are presented. The corresponding software tool has been developed and demonstrated in some examples.</p>\u0000 </div>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 5-6","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142860153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Analytical Framework for the Multiplicative Best-Worst Method","authors":"Harshit M. Ratandhara, Mohit Kumar","doi":"10.1002/mcda.1840","DOIUrl":"https://doi.org/10.1002/mcda.1840","url":null,"abstract":"<div>\u0000 \u0000 <p>The Best-Worst Method (BWM) is a well-known Multi-Criteria Decision-Making (MCDM) method. Numerous models of BWM have been developed by integrating various distance functions with the core principles of the method. This article addresses the multiplicative model of BWM. We first formulate an optimization model that is equivalent to the existing multiplicative model. This model provides a robust foundation for deriving analytical forms of optimal interval-weights, the Consistency Index (CI) and the Consistency Ratio (CR). The proposed approach eliminates the need for optimization software, enhancing its ease of implementation and time efficiency. Moreover, the derived analytical form of CR enables it to function as an input-based consistency measure. We then introduce a secondary objective function to select the best optimal weight set from the collection of all optimal weight sets. Finally, we present numerical examples to illustrate the proposed approach.</p>\u0000 </div>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 5-6","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142764013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Multi-Objective Optimization for Determination of Sustainable Crop Pattern Using Game Theory","authors":"Narges Ganjali, Caner Guney","doi":"10.1002/mcda.70000","DOIUrl":"https://doi.org/10.1002/mcda.70000","url":null,"abstract":"<div>\u0000 \u0000 <p>Amid growing concerns about environmental sustainability in agriculture, this study explores the potential of a game-theoretic approach to identify and implement sustainable crop patterns in the Marvdasht–Kherameh sub-basin, Iran. Employing a cooperative game-theoretic framework, the study considers farmers, environmental advocates and policymakers as stakeholders with distinct objectives: maximising profit, minimising environmental pollution and optimising water consumption. This research aims to develop and apply a comprehensive model that effectively integrates these diverse objectives, proposing practical, sustainable agricultural strategies for the region. The game-theoretic model is integrated with data analysis and optimization techniques to identify Pareto-optimal solutions that balance the competing objectives of stakeholders with vested interest. The advantage of this approach is its ability to produce a robust, spatially visualised solution using GIS-based mapping, which improves communication and aids in implementing sustainable crop patterns. Using regression models, an equilibrium point, defined as the intersection of the three polynomial regression models representing profit, nitrate fertiliser amount and water consumption objectives is identified. The optimised crop pattern corresponding to this equilibrium point is determined using a single-objective optimization model. Key findings include a 40% reduction in wheat cultivation and significant increases in barley (143%) and paddy rice (113%), leading to enhanced resource efficiency and sustainability by optimising water and nitrate fertiliser use. The results offer significant benefits, including detailed spatial visualisation and stakeholder-specific optimization for sustainable crop patterns, which can be adapted to other agricultural regions facing similar challenges.</p>\u0000 </div>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 5-6","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ceren Tuncer Şakar, Chloe Keith-Jopp, Barbaros Yet, Christopher Joyner, Adele Hill, James Roberts, William Marsh, Dylan Morrissey
{"title":"A Multi-Criteria Decision Support Tool for Shared Decision Making in Clinical Consultation","authors":"Ceren Tuncer Şakar, Chloe Keith-Jopp, Barbaros Yet, Christopher Joyner, Adele Hill, James Roberts, William Marsh, Dylan Morrissey","doi":"10.1002/mcda.70001","DOIUrl":"https://doi.org/10.1002/mcda.70001","url":null,"abstract":"<div>\u0000 \u0000 <p>In clinical consultation, Shared Decision Making (SDM) between the patient and clinician can inform the patient about available treatment options, likely harms and benefits in order to reach a joint decision that accommodates the patient's preferences. Multi-Criteria Decision Analysis (MCDA) can be beneficial for this complex problem by offering systematic approaches to elicit preferences for multiple conflicting criteria and evaluate alternatives accordingly. We propose an online SDM tool based on MCDA to guide decisions in clinical consultation where there are multiple treatment options whose outcomes in different factors vary according to the patient. The tool was designed with a panel of domain experts and it enables rapid elicitation of patient preferences and clinician judgements. It is based on Preference Ranking Organization Method for Enrichment Evaluations II (PROMETHEE II) to produce a comprehensive evaluation of the options. The patient-specific outcomes used in the SDM tool are derived from predictive machine learning models or published evidence. The tool was firstly qualitatively evaluated using a fictitious shoulder pain scenario with three focus groups of consultant and specialist physiotherapists. It was evaluated further with patients via structured interview format. The general response was positive; stating that the tool was informative about options and their performance in multiple criteria, and also useful in making a joint decision. The tool is ready to be incorporated into clinical care and evaluated by clinicians and patients in parallel with existing processes.</p>\u0000 </div>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 5-6","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142708155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Bibliometric Exploration of Multiple Criteria Decision Aid and Clustering—A Conceptual Taxonomy","authors":"Pavlos Delias, Michalis Doumpos","doi":"10.1002/mcda.1839","DOIUrl":"https://doi.org/10.1002/mcda.1839","url":null,"abstract":"<p>This work explores the intersection of Multiple Criteria Decision Aid (MCDA) and clustering techniques, revealing unexploited potential and novel perspectives arising from their integration, challenging their conventional separation. It serves as a compass, guiding researchers through a bibliometric exploration and a conceptual taxonomy consolidating existing knowledge. Employing a two-fold methodology, we first sketch the field's contours through a bibliometric lens, uncovering its intellectual structure, thematic landscape, and social dynamics. Then, using science mapping techniques like co-word analysis, historiography, and collaboration network analysis, we examine patterns, revealing an interconnected mosaic of concepts. Our findings unveil a natural grouping into three categories: (1) Mixed-yet-not-integrated approaches, explores sequential applications—clustering followed by MCDA or vice versa—where one method precedes and informs the other. (2) ‘Relational/ordered clustering’ leveraging criteria dependency to refine structures. (3) Using MCDA to improve clustering mechanics through similarity metrics, domain knowledge incorporation, and robustness. We conclusively propose a taxonomy along three axes: Units of Analysis, Instrumentalisation, and Objective. The key takeaway emphasises the collaborative potential of MCDA, envisioning a landscape where the integration of MCDA and clustering not only enhances existing methodologies but also spawns innovative paradigms, fostering a symbiotic relationship that transcends conventional boundaries.</p>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 5-6","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mcda.1839","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142664940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Carlos Vílchez-Román, Anna Florek-Paszkowska, Enrique Mu
{"title":"Charting the evolutionary conceptual pathway of analytic network process research: A main path analysis","authors":"Carlos Vílchez-Román, Anna Florek-Paszkowska, Enrique Mu","doi":"10.1002/mcda.1837","DOIUrl":"https://doi.org/10.1002/mcda.1837","url":null,"abstract":"<p>This study delves into the flow and structure of knowledge prevalent in Analytic Network Process (ANP) literature. It traces the evolutionary pathway of ANP research, spotlighting seminal works and unfolding the development of topics over time. Analysing 4583 ANP literature records from 1986 to 2022, this research utilizes two pivotal data sources: Web of Science (WoS) and Dimensions. This main path analysis (MPA) approach is coupled with techniques such as citation analysis, social network analysis, and centrality measures to identify most influential papers, as well as using a search path algorithm (SPC) to provide higher weights to papers that serve as bridges connecting different research paths rather than simply counting all citations equally. Key works emerged as focal points in both datasets, including notable contributions from Lee, Kheybari and Büyüközkan, with the Dimensions dataset uniquely highlighting Saaty as the initial conceptual knowledge source of the ANP. The centrality measures unearthed persistent bridge roles undertaken by key contributors such as Saaty and Sarkis over different time periods. Furthermore, a detailed topic analysis discerned eight distinctive thematic clusters among the two data sources: analytical network process, network process, fuzzy analytic, evaluation laboratory, supply chain, quality function, hierarchy process, and information systems. These clusters emerged, providing a comprehensive map of ANP topics and their evolution. The study offers a comprehensive framework for scholars to navigate the expansive domain of ANP research. Identifying pivotal works and emergent themes provides direction for future research endeavours. It allows practitioners to gain invaluable insights into the foundational and transformative works in the ANP realm, enhancing their understanding and application of the methodology. This paper proposes of a dual methodological strategy: First, by using traditional academic data sources (WoS) along with a more encompassing Dimensions database; and second, by using a SPC algorithm to weight MPA papers based on their connecting role among different research paths. At the discipline level, this study carves out a novel vantage point in understanding the ANP research landscape. It offers an integrated portrayal of the field's conceptual evolution, identifying specific cluster topics as an indispensable resource for scholars, practitioners, and students.</p>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 3-4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142077786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ana Krstić Srejović, Mladen Stamenković, Nemanja Vuksanović
{"title":"Monitoring Sustainable Development Goals: Stepwise Benchmarking Approach","authors":"Ana Krstić Srejović, Mladen Stamenković, Nemanja Vuksanović","doi":"10.1002/mcda.1838","DOIUrl":"https://doi.org/10.1002/mcda.1838","url":null,"abstract":"<div>\u0000 \u0000 <p>We present a multiple criteria decision aiding approach to monitor countries' progress on Sustainable Development Goals indicators and obtain policy measures for improvement. We do it using stepwise benchmarking, a method that provides recommendations on a country level and potential direction for improvement by providing direct and ideal benchmarks, pointing out areas where improvements can be achieved. The results from stepwise benchmarking are based on the underlying outranking procedure. To show the effectiveness of the approach, we used ELECTRE III as the method to rank European countries on the progress on equality of educational opportunities and then applied stepwise benchmarking to provide policy recommendations. This approach has the potential to evaluate progress and propose improvements to all aspects of the Sustainable Development Agenda.</p>\u0000 </div>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 3-4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142077785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Habib Tariq, Yousaf Ali, Antonella Petrillo, Fabio De Felice
{"title":"Socio-economic strategy for settlement of refugees amidst crisis: The case of Pak-Afghan","authors":"Habib Tariq, Yousaf Ali, Antonella Petrillo, Fabio De Felice","doi":"10.1002/mcda.1836","DOIUrl":"10.1002/mcda.1836","url":null,"abstract":"<p>Today, global concerns are at their peak due to the fast-growing number of refugees. The world faces the dilemma of the refugee crisis, which needs to be addressed by the United Nations (U.N.) sustainable development goals (SDGs). Pakistan hosts about 1.4 million registered refugees in camps and urban areas. The majority consist of Afghans who departed due to severe poverty, conflict, and security concerns. These refugees bring socio-economic distress to the host country. In order to comprehend the whole crisis, this study primarily focuses on three areas: the unstable political and security situation in the country of origin, the refugee concerns and their implications. This research is unique throughout the literature as it applies the interpretive structural modelling (ISM) tool to view the refugee crisis holistically. Results from ISM show that the ‘Political situation of Afghanistan’ is the most influential factor with very high driving power. Afterward, 10 resulting factors were opted from the ISM model, which demonstrate the implications on the host country. The relative importance index (RII) approach was used to rank the resultant factors. Ranking from RII depicts a significantly different impact of refugees while residing in urban areas. Using the Prisoner's dilemma of cooperative game theory (GT), this study concludes by recommending refugees to get registered and the host country to settle them in the local population. The use of cooperative GT with the nexus of ISM and RII is also exceptional and will be helpful for researchers and policymakers to resolve any conflict.</p>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 3-4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mcda.1836","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Igor Danilo Costa Matos, Helder Gomes Costa, Marcos Roboredo, Diogo Lima
{"title":"Refining the PROMETHEE-scoring method: Propositions and an economic freedom assessment","authors":"Igor Danilo Costa Matos, Helder Gomes Costa, Marcos Roboredo, Diogo Lima","doi":"10.1002/mcda.1835","DOIUrl":"https://doi.org/10.1002/mcda.1835","url":null,"abstract":"<p>The recent PROMETHEE-Scoring approach offers a method for generating cardinal scores through an outranking procedure utilizing Stochastic Multicriteria Acceptability and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>σ</mi>\u0000 </mrow>\u0000 <annotation>$$ sigma $$</annotation>\u0000 </semantics></math>–<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>μ</mi>\u0000 </mrow>\u0000 <annotation>$$ mu $$</annotation>\u0000 </semantics></math> analysis. In this paper, we illustrate some undesirable effects of this method and explore possible approaches to address them. First, we modify the original LP by inserting a new constraint that limits negative impacts caused by alternatives with low flow mean and standard deviation. Also, clustering is used to identify outliers in the decision matrix that may induce undesirable effects. A toy example demonstrates the issues and explores the proposed implementations. In addition, a numerical application is presented where a set of countries is ordered based on criteria from an economic freedom assessment. Both the numerical application and the toy example show that the propositions can improve the consistency of the results and prevent inconsistent outputs. The results include comparisons between the rank of alternatives when using purely the PROMETHEE-Scoring method, the proposed improvements, and the expected results from SMAA-PROMETHEE.</p>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 3-4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141583844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hend K. Eldeib, Maggie M. Abbassi, Nirmeen A. Sabry
{"title":"Validation, adaptation and application of a multi-criteria decision analysis-based framework for chemotherapeutic agents in Egypt","authors":"Hend K. Eldeib, Maggie M. Abbassi, Nirmeen A. Sabry","doi":"10.1002/mcda.1834","DOIUrl":"https://doi.org/10.1002/mcda.1834","url":null,"abstract":"<p>Health technology assessment is a systematic, transparent, robust, and unbiased assessment of healthcare technology that links evidence and decisions. Healthcare decisions usually require trading-off, and using a structured approach, such as multi-criteria decision analysis (MCDA), could improve decision quality. This study aimed to adapt an MCDA-based framework for oncological drug evaluation in an Egyptian clinical setting to explore the perspectives of different stakeholders. The 10th edition of the Evidence and Value: Impact on decision making framework was translated, validated, adapted, and applied to explore key differences between the priorities of different stakeholders for coverage decisions in the oncology field in Egypt. A direct rating scale or hierarchical point allocation was used to elicit criteria weights. Normalized weights were calculated and compared using the preset cut-off value of 0.008. Understandability, willingness to use the adopted weighting techniques, and cognitive burden were assessed and compared. Ninety participants completed the criteria-weighting interview for the adapted tool. The elicited criteria weights differed between the two adopted weighting techniques when comparing stakeholders' priorities using the preset cut-off (0.008). However, there was no significant difference in the weighting technique understandability, future use willingness, and cognitive burden parameters on categorization by either the weighting technique or stakeholder group. This study provides a specially tailored, straightforward procedure for Egyptian stakeholders to evaluate oncologic drugs in a standardized manner by combining various inputs. It also highlights the main variations across Egyptian stakeholder preferences.</p>","PeriodicalId":45876,"journal":{"name":"Journal of Multi-Criteria Decision Analysis","volume":"31 3-4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141488780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}