CPP |
CPP TRI |
Probabilistic |
Not necessary |
Yes |
All relative or Partial relative |
(Sant'Anna et al., 2012140. SANT’ANNA AP, GOMES LFAM, COSTA FF DA, RANGEL LAD, FARIA MJ DA S, FERREIRA RG, FILHO RMM, RIBEIRO ROA & SENNA V DE. 2012. Análise multicritério baseada em probabilidades de preferência. In V. F. de Oliveira VCavenaghi & F. S. Másculo (Eds.), Tópicos emergentes e desafios metodológicos em Engenharia de Produção: casos, experiências e proposições - Volume V (p. 258). ABEPRO.) |
(Gavião et al., 201861. GAVIÃO LO, SANT’ANNA AP, LIMA GBA & GARCIA PA DE A. 2018. CPP: Composition of Probabilistic Preferences. R package version 0.1.0. (R package version 0.1.0.; p. 1-24). R Core Team. Available at: https://cran.r-project.org/package=CPP https://cran.r-project.org/package=CPP...
, 202062. GAVIÃO LO, SANT’ANNA AP, LIMA GBA & GARCIA PA DE A. 2020. Evaluation of soccer players under the Moneyball concept. Journal of Sports Sciences , 38(11-12 ), 1221-1247.; Monte, 2019101. MONTE F DE C. 2019. Classificação do nível de maturidade em gestão de processos de negócios através da aplicação da composição probabilística de preferências tricotômica (CPP-TRI) [Universidade Federal de Pernambuco]. Available at: https://attena.ufpe.br/bitstream/123456789/34083/1/DISSERTAOFrancieldeCarvalhoMonte.pdf https://attena.ufpe.br/bitstream/1234567...
; Sant'Anna et al., 2015133. SANT’ANNA AP, COSTA HG & PEREIRA V. 2015. CPP-TRI: a sorting method based on the probabilistic composition of preferences. International Journal of Information and Decision Sciences, 7(3): 193-212.; Sant'Anna, 2015131. SANT’ANNA AP. 2015. Probabilistic Composition of Preferences, Theory and Applications (1st ed.). Springer.; Sant'Anna et al., 2013139. SANT’ANNA AP, FARIA F & COSTA HG. 2013. Aplicação da Composição Probabilística e do método das K-Médias à classificação de municípios quanto à oferta de creches. Cadernos Do IME-Série Estatística, 34(1): 17., 2016138. SANT’ANNA AP, COSTA HG, NEPOMUCENO LDO & PEREIRA V. 2016. A Probabilistic Approach Applied to the Classification of Courses by Multiple Evaluators. Pesquisa Operacional .; Sant'Anna et al., 2015137. SANT’ANNA AP. 2015. Probabilistic human development indices. Brazilian Journal of Operations & Production Management, 12(1): 136-146.; Sant'Anna et al., 2015142. SANT’ANNA AP, MARTINS EF, LIMA GBA & SILVA RF DA. 2015. Beta Distributed Preferences in the Comparison of Failure Modes. Procedia Computer Science , 55, 862- 869.; Silva et al., 2016149. SILVA GB DA, BARROS MD DE & COSTA HG. 2016. Abordagem híbrida multicritério -mineração de dados aplicada a classificação de unidades da federação com base na população economicamente ocupada . In SPOLM (Ed.), Simpósio de Pesquisa Operacional e Logística da Marinha (Vol. 2, Issue 1, p. 377-387). CASNAV.) |
AHP |
AHPSort |
Deterministic |
Yes |
Yes |
Pairwise |
(Ishizaka et al., 201277. ISHIZAKA A, PEARMAN C & NEMERY P. 2012. AHPSort: an AHP-based method for sorting problems. International Journal of Production Research , 50(17): 4767-4784.) |
(Ishizaka et al., 202179. ISHIZAKA A, PEREIRA V & SIRAJ S. 2021. AHPSort-GAIA: a visualisation tool for the sorting of alternative in AHP portrayed through a case in the food and drink industry. Annals of Operations Research , 1-16.; Ishizaka et al., 202073. ISHIZAKA A, KHAN SA, KUSI-SARPONG S & NAIM I. 2020. Sustainable warehouse evaluation with AHPSort traffic light visualisation and post-optimal analysis method. Journal of the Operational Research Society , 1-18.; Ishizaka & López, 201975. ISHIZAKA A & LÓPEZ C. 2019. Cost-benefit AHPSort for performance analysis of offshore providers. International Journal of Production Research, 57(13): 4261-4277.) |
AHPSort II |
(Miccoli & Ishizaka, 2017100. MICCOLI F & ISHIZAKA A. 2017. Sorting municipalities in Umbria according to the risk of wolf attacks with AHPSort II Ecological Indicators, 73, 741-755.) |
(Assumma et al., 202110. ASSUMMA V, BOTTERO M, ISHIZAKA A & TASIOU M. 2021. Group Analytic Hierarchy Process Sorting II Method: An Application to Evaluate the Economic Value of a Wine Region Landscape. Environmental Modeling & Assessment, 26(3): 355-369.; Guo et al., 202068. GUO Q, QIN J & QU, C. 2020. AHPSortll-GAIA: A Sorting Method in Model Engineering to Sort Cities According to the Risk of Sustainable. 2020 2nd International Conference on Economic Management and Model Engineering (ICEMME), 797-804.; Labella et al., 202088. LABELLA Á, RODRÍGUEZ-COHARD JC, SÁNCHEZ-MARTÍNEZ JD & MARTÍNEZ L. 2020. An AHPSort II Based Analysis of the Inequality Reduction within European Union. Mathematics, 8(4): 646.; Mei et al., 201999. MEI Y, TU Y, XIE K, YE Y & SHEN W. 2019. Internet Public Opinion Risk Grading under Emergency Event Based on AHPSort II-DEMATEL. Sustainability, 11(16): 4440.; Xie et al., 2019166. XIE K, MEI Y, GUI P & LIU Y. 2019. Early-warning analysis of crowd stampede in metro station commercial area based on internet of things. Multimedia Tools and Applications, 78(21): 30141-30157.; Xu et al., 2019167. XU Z, QIN J, LIU J & MARTINEZ L. 2019. Sustainable supplier selection based on AHPSort II in interval type-2 fuzzy environment. Information Sciences , 483, 273-293.) |
AHPSort I or II (Fuzzy) |
(Krejčí & Ishizaka, 201885. KREJČÍ J & ISHIZAKA A. 2018. FAHPSort: A fuzzy extension of the AHPSort method. International Journal of Information Technology & Decision Making, 17(04): 1119-1145.) |
(Ishizaka et al., 202073. ISHIZAKA A, KHAN SA, KUSI-SARPONG S & NAIM I. 2020. Sustainable warehouse evaluation with AHPSort traffic light visualisation and post-optimal analysis method. Journal of the Operational Research Society , 1-18.; Xu et al., 2019167. XU Z, QIN J, LIU J & MARTINEZ L. 2019. Sustainable supplier selection based on AHPSort II in interval type-2 fuzzy environment. Information Sciences , 483, 273-293.) |
GAHPSort |
(López & Ishizaka, 201793. LÓPEZ C & ISHIZAKA A. 2017. GAHPSort: A new group multi-criteria decision method for sorting a large number of the cloud-based ERP solutions. Computers in Industry, 92, 12-25.) |
(Labella et al., 202187. LABELLA Á, ISHIZAKA A & MARTÍNEZ L. 2021. Consensual Group-AHPSort: applying consensus to GAHPSort in sustainable development and industrial engineering. Computers & Industrial Engineering, 152, 107013.) |
GAHPSort II |
(Assumma et al., 202110. ASSUMMA V, BOTTERO M, ISHIZAKA A & TASIOU M. 2021. Group Analytic Hierarchy Process Sorting II Method: An Application to Evaluate the Economic Value of a Wine Region Landscape. Environmental Modeling & Assessment, 26(3): 355-369.) |
Not found |
AHP-K-GDSS |
(Ishizaka et al., 201774. ISHIZAKA A, LOLLI F, GAMBERINI R, RIMINI B & BALUGANI E. 2017. AHP-K-GDSS: a new sorting method based on AHP for group decisions. 16th International Conference on Modeling and Applied Simulation, MAS 2017, 1-5.) |
(Lolli et al., 201791. LOLLI F, ISHIZAKA A, GAMBERINI R, RIMINI B, BALUGANI E & PRANDINI L. 2017. Requalifying public buildings and utilities using a group decision support system. Journal of Cleaner Production , 164, 1081-1092.) |
ANPSort |
(Ishizaka & Pereira, 201978. ISHIZAKA A & PEREIRA V. 2019. Utilisation of ANPSort for sorting alternative with interdependent criteria illustrated through a researcher’s classification problem in an academic context. Soft Computing, 1-12.) |
Not found |
CODAS |
CODAS SORT |
Deterministic or fuzzy numbers |
Yes |
Yes |
Partial relative |
(Ouhibi & Frikha, 2019111. OUHIBI A & FRIKHA H. 2019. CODAS-SORT: A new CODAS based method for sorting problems. 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), 855-860.) |
Not found |
CODAS SORT (Fuzzy) |
(Ouhibi & Frikha, 2020a113. OUHIBI A & FRIKHA HM. 2020b. Evaluating environmental quality in Tunisia using Fuzzy CODAS SORT method. 2020 International Conference on Decision Aid Sciences and Application (DASA), 1115-1119.) |
(Ouhibi & Frikha, 2020b113. OUHIBI A & FRIKHA HM. 2020b. Evaluating environmental quality in Tunisia using Fuzzy CODAS SORT method. 2020 International Conference on Decision Aid Sciences and Application (DASA), 1115-1119.) |
DEA |
DEASORT |
Deterministic |
Yes |
Yes |
Pairwise |
(Ishizaka et al., 201277. ISHIZAKA A, PEARMAN C & NEMERY P. 2012. AHPSort: an AHP-based method for sorting problems. International Journal of Production Research , 50(17): 4767-4784.) |
(Qin et al., 2021121. QIN J, ZENG Y & ZHOU Y. 2021. Context-dependent DEASort: A multiple criteria sorting method for ecological risk assessment problems. Information Sciences , 572, 88- 108.; Zeng, 2019171. ZENG Y. 2019. Urban Public Safety Risk Assessment of 35 Cities in China Based on Context-Dependent DEA Approach And DEASort. E3S Web of Conferences, 136, 4094.; Zhou, 2020172. ZHOU Y. 2020. A Study of Country Economic Risks in Countries Along the Belt and Road: A Classification Method Based on DEA Sort. Journal of Physics: Conference Series, 1453(1): 12147.) |
DRSA |
DRSA |
Rough sets |
Not necessary |
Yes |
'If-then' rules |
(Greco et al., 200065. GRECO S, MATARAZZO B & SLOWINSKI R. 2000. Multicriteria classification by dominance-based rough set approach. In Laboratory of Intelligent Decision Support Systems. Institute of Computing Science. Available at: http://idss.cs.put.poznan.pl/site/ fileadmin/projects-images/4emka\ methodology.pdf http://idss.cs.put.poznan.pl/site/ filea...
) |
(Błaszczyński et al., 202112. BLASZCZYNSKI J, ALMEIDA FILHO AT DE, MATUSZYK A, SZELAG M & SLOWINSKI R. 2021. Auto loan fraud detection using dominance-based rough set approach versus machine learning methods. Expert Systems with Applications, 163: 113740.; Boggia et al., 201414. BOGGIA A, ROCCHI L, PAOLOTTI L, MUSOTTI F & GRECO S. 2014. Assessing rural sustainable development potentialities using a dominance-based rough set approach. Journal of Environmental Management, 144, 160-167.; Chakhar et al., 201622. CHAKHAR S, ISHIZAKA A, LABIB A & SAAD I. 2016. Dominance-based rough set approach for group decisions. European Journal of Operational Research , 251(1): 206- 224.; Greco et al., 200766. GRECO S, MATARAZZO B & SŁOWIŃSKI R. 2007. Dominance-based rough set approach as a proper way of handling graduality in rough set theory. In Transactions on rough sets VII (p. 36-52). Springer.; Hu et al., 201771. HU Q, CHAKHAR S, SIRAJ S & LABIB A. 2017. Spare parts classification in industrial manufacturing using the dominance-based rough set approach. European Journal of Operational Research , 262(3): 1136-1163.; Liou & Tzeng, 201089. LIOU JJH & TZENG, G.-H. 2010. A dominance-based rough set approach to customer behavior in the airline market. Information Sciences, 180(11): 2230-2238.) |
ELECTRE |
ELECTRE TRI (also TRI-B) |
Deterministic |
Not necessary |
Yes |
Partial relative |
(Roy & Bouyssou, 1993129. ROY B & BOUYSSOU D. 1993. Aide multicritère à la décision: méthodes et cas. Economica.; Yu, 1992170. YU W. 1992. Aide multicritère à la décision dans le cadre de la problématique du tri: concepts, méthodes et applications. Université Paris IX-Dauphine.) |
(Biluca et al., 202011. BILUCA J, DE AGUIAR CR & TROJAN F. 2020. Sorting of suitable areas for disposal of construction and demolition waste using GIS and ELECTRE TRI. Waste Management, 114, 307-320.; Cervi & Carpinetti, 201721. CERVI AFC & CARPINETTI LCR. 2017. Competências essenciais da organização: avaliação baseada no método ELECTRE TRI. Pesquisa Operacional Para o Desenvolvimento, 9(2): 95-108.; Dehraj & Sharma, 202034. DEHRAJ P & SHARMA A. 2020. Autonomic computing based trustworthiness attributes weight estimation using Electre-Tri method. Journal of Interdisciplinary Mathematics, 23(1): 21-29.; Fontana & Cavalcante, 201353. FONTANA ME & CAVALCANTE CA V. 2013. Electre tri method used to storage location assignment into categories. Pesquisa Operacional, 33(2): 283-303.; Gonçalves et al., 202163. GONÇALVES ATP, ARAÚJO MVP DE, MÓL ALR & ROCHA FAF DA. 2021. Application of the Electre Tri method for supplier classification in supply chains. Pesquisa Operacional , 41.; Şahin et al., 2021130. ŞAHIN M, ULUCAN A & YURDUGÜL H. 2021. Learner classification based on interaction data in E-learning environments: the ELECTRE TRI method. Education and Information Technologies, 26(2): 2309-2326.; Szajubok et al., 2006153. SZAJUBOK NK, MOTA CM DE M & ALMEIDA AT DE. 2006. Uso do método multicritério ELECTRE TRI para classificação de estoques na construção civil. Pesquisa Operacional , 26(3): 625-648.; Trojan & Morais, 2012163. TROJAN F & MORAIS DC. 2012. Using Electre TRI to support maintenance of water distribution networks. Pesquisa Operacional , 32(2): 423-442.) |
ELECTRE SORT |
(Ishizaka& Nemery, 201476. ISHIZAKA A & NEMERY P. 2014. Assigning machines to incomparable maintenance strategies with ELECTRE-SORT. Omega , 47, 45-59.) |
Not found |
ELECTRE TRI-nB |
(Fernández et al., 201746. FERNÁNDEZ E, FIGUEIRA JR, NAVARRO J & ROY B. 2017. ELECTRE TRI-nB: A new multiple criteria ordinal classification method. European Journal of Operational Research , 263(1): 214-224.) |
(Bouyssou et al., 202017. BOUYSSOU D, MARCHANT T & PIRLOT M. 2020. A theoretical look at ELECTRE TRI-nB. ArXiv Preprint ArXiv:2008.09484.; Fernández et al., 201944. FERNÁNDEZ E, FIGUEIRA JR & NAVARRO J. 2019. An indirect elicitation method for the parameters of the ELECTRE TRI-nB model using genetic algorithms. Applied Soft Computing , 77, 723-733., 202045. FERNÁNDEZ E, FIGUEIRA JR & NAVARRO J. 2020. Interval-based extensions of two outranking methods for multi-criteria ordinal classification. Omega , 95, 102065.) |
ELECTRE TRI-C |
(Almeida-Dias et al., 20102. ALMEIDA-DIAS J, FIGUEIRA JR & ROY B. 2010. Electre Tri-C: A multiple criteria sorting method based on characteristic reference actions. European Journal of Operational Research , 204(3): 565-580.) |
(Bouyssou & Marchant, 201516. BOUYSSOU D & MARCHANT T. 2015. On the relations between ELECTRE TRI-B and ELECTRE TRI-C and on a new variant of ELECTRE TRI-B. European Journal of Operational Research , 242(1): 201-211.; Costa et al., 201927. COSTA HG & DUARTE MB T. 2019. Applying ELECTRE TRI ME for Evaluating the Quality of Services Provided by a Library. Proceedings of the 2019 11th International Conference on Education Technology and Computers, 278-281.; Figueira et al., 201151. FIGUEIRA JR, ALMEIDA-DIAS J, MATIAS S, ROY B, CARVALHO MJ & PLANCHA CE. 2011. Electre Tri-C, a multiple criteria decision aiding sorting model applied to assisted reproduction. International Journal of Medical Informatics, 80(4): 262-273.; Govindan & Jepsen, 201664. GOVINDAN K & JEPSEN MB. 2016. Supplier risk assessment based on trapezoidal intuitionistic fuzzy numbers and ELECTRE TRI-C: a case illustration involving service suppliers. Journal of the Operational Research Society, 67(2): 339-376.; Pereira et al., 2019120. PEREIRA V. 2019. A proposal for avoiding compensatory effects while using ELECTRE TRI with multiple evaluators . Hybrid Intelligent Systems: 18th International Conference on Hybrid Intelligent Systems (HIS 2018) Held in Porto, Portugal, December 13-15, 2018, 923, 470.) |
ELECTRE TRI-ME |
(Costa et al., 201826. COSTA HG, DE OLIVEIRA NEPOMUCENO LD & PEREIRA V. 2018. A proposal for avoiding compensatory effects while using ELECTRE TRI with multiple evaluators. International Conference on Hybrid Intelligent Systems, 470-480.) |
(Costa & Duarte, 201927. COSTA HG & DUARTE MB T. 2019. Applying ELECTRE TRI ME for Evaluating the Quality of Services Provided by a Library. Proceedings of the 2019 11th International Conference on Education Technology and Computers, 278-281.; Pereira, 2019120. PEREIRA V. 2019. A proposal for avoiding compensatory effects while using ELECTRE TRI with multiple evaluators . Hybrid Intelligent Systems: 18th International Conference on Hybrid Intelligent Systems (HIS 2018) Held in Porto, Portugal, December 13-15, 2018, 923, 470.) |
ELECTRE TRI-nC |
(Almeida-Dias et al., 20121. ALMEIDA-DIAS J, FIGUEIRA JR & ROY B. 2012. A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method. European Journal of Operational Research, 217(3): 567-579.) |
(Almeida-Dias et al., 20123. ALMEIDA-DIAS J, FIGUEIRA JR & ROY B. 2012. A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method. European Journal of Operational Research , 217(3): 567-579.; Costa et al., 201826. COSTA HG, DE OLIVEIRA NEPOMUCENO LD & PEREIRA V. 2018. A proposal for avoiding compensatory effects while using ELECTRE TRI with multiple evaluators. International Conference on Hybrid Intelligent Systems, 470-480.; Doumpos & Figueira, 201937. DOUMPOS M & FIGUEIRA JR. 2019. A multicriteria outranking approach for modeling corporate credit ratings: An application of the Electre Tri-nC method. Omega, 82, 166- 180.; Fernández et al., 202045. FERNÁNDEZ E, FIGUEIRA JR & NAVARRO J. 2020. Interval-based extensions of two outranking methods for multi-criteria ordinal classification. Omega , 95, 102065.) |
ELECTRE TRI-Rc |
(Kadziński et al., 201582. KADZIŃSKI M,TERVONEN T & FIGUEIRA JR. 2015. Robust multi-criteria sorting with the outranking preference model and characteristic profiles. Omega , 55, 126-140.) |
(Rezaei et al., 2017126. REZAEI J, KADZIŃSKI M, VANA C & TAVASSZY L. 2017. Embedding carbon impact assessment in multi-criteria supplier segmentation using ELECTRE TRI-rC. Annals of Operations Research , 1-23.; Rocchi et al., 2018127. ROCCHI L, KADZIŃSKI M, MENCONI ME, GROHMANN D, MIEBS G, PAOLOTTI L & BOGGIA A. 2018. Sustainability evaluation of retrofitting solutions for rural buildings through life cycle approach and multi-criteria analysis. Energy and Buildings, 173, 281- 290.) |
ELECTRE TRI-NG |
(Sobral & Costa, 2012151. SOBRAL MFF & COSTA AP C. S. 2012. Negotiation model for group decision with ELECTRE TRI-the ELECTRE TRI-NG. Journal of Decision Systems, 21(2): 121-136.) |
Not found |
PROMETHEE |
FLOW SORT |
Deterministic |
Not necessary |
Yes |
Pairwise |
(Nemery & Lamboray, 2007109. NEMERY P & LAMBORAY C. 2007. FlowSort: a sorting method based on flows. Proceedings of the ORP3 Conference, 45-60.) |
(Nemery & Lamboray, 2008108. NEMERY P & LAMBORAY C. 2008. Flow Sort: a flow-based sorting method with limiting or central profiles. Top , 16(1): 90-113.; Remadi & Frikha, 2020125. REMADI FD & FRIKHA HM. 2020. The Intuitionistic Fuzzy Set FlowSort methodology for green supplier Evaluation. 2020 International Conference on Decision Aid Sciences and Application (DASA), 719-725.; Sepulveda et al., 2010144. SEPULVEDA J, GONZALEZ J, ALFARO M & CAMARGO M. 2010. A metrics-based diagnosis tool for enhancing innovation capabilities in SMEs. International Journal of Computers Communications & Control, 5(5): 919-928.) |
FLOW SORT GDSS |
(Lolli et al., 201592. LOLLI F, ISHIZAKA A, GAMBERINI R, RIMINI B & MESSORI M. 2015. FlowSort-GDSS-A novel group multi-criteria decision support system for sorting problems with application to FMEA. Expert Systems with Applications , 42(17-18), 6342-6349.) |
Not found |
P2CLUST |
(De Smet, 201333. DE SMET Y. 2013. P2CLUST: An extension of PROMETHEE II for multicriteria ordered clustering. 2013 IEEE International Conference on Industrial Engineering and Engineering Management, 848-851.) |
(Rosenfeld & Smet, 2019128. ROSENFELD J & SMET YDE. 2019. An extension of PROMETHEE to hierarchical multicriteria clustering. International Journal of Multicriteria Decision Making, 8(2): 133-150.; Sarrazin et al., 2018143. SARRAZIN R, DE SMET Y & ROSENFELD J. 2018. An extension of PROMETHEE to interval clustering. Omega , 80, 12-21.) |
PROMSORT |
(Araz & Ozkarahan, 20057. ARAZ C & OZKARAHAN I. 2005. A multicriteria sorting procedure for financial classification problems: The case of business failure risk assessment. International Conference on Intelligent Data Engineering and Automated Learning, 563-570.) |
(Küçükbay & Metin, 201986. KÜÇÜKBAY F & METIN İ. 2019. A new methodology for credit evaluation process of Turk Eximbank. Uşak Üniversitesi Sosyal Bilimler Dergisi, 12(2): 122-130.; Silva & Alencar, 2019146. SILVA ACCLM & ALENCAR LH. 2019. Model for sorting partners in construction: a case study in a highway project. 2019 IEEE International Conference on Systems, Man and Cybernetics (SMC), 1518-1523.; Viana & Alencar, 2015164. VIANA VFC & ALENCAR LH. 2015. Modelo de classificação de projetos de acordo com a complexidade gerencial para uma empresa de médio porte em Pernambuco. XLVII SBPO, Porto de Galinhas, Pernambuco.) |
PROMETHEE TRI |
Yes (preference functions) |
(Figueira et al., 200550. FIGUEIRA JJR, DE SMET Y & BRANS JP. 2005. MCDA methods for sorting and clustering problems: Promethee TRI and Promethee CLUSTER. Technical report TR/SMG/2004-002.) |
(De Smet, 201932. DE SMET Y. 2019. Beyond Multicriteria Ranking Problems: The Case of PROMETHEE. In New Perspectives in Multiple Criteria Decision Making. Springer, p. 95-114.; Garcez et al., 201257. GARCEZ TV, MARESCHAL B & ALMEIDA AT DE. 2012. Inferência dos pesos dos critérios no método de classificação Promethee TRI. Congresso Latino-Iberoamricano de Investigacion Operativa. Rio de Janeiro, Brasil, Setembro, 24-28.) |
GAIA |
GAIA SORT |
Deterministic |
Yes |
Yes |
Partial relative |
(Nemery et al., 2012107. NEMERY P, ISHIZAKA A, CAMARGO M & MOREL L. 2012. Enriching descriptive information in ranking and sorting problems with visualizations techniques. Journal of Modelling in Management.) |
Not found |
MACBETH |
MACBETHSort |
Qualitative assessment |
Not necessary |
Yes |
Pairwise |
(Ishizaka& Gordon, 201772. ISHIZAKA A & GORDON M. 2017. MACBETHSort: a multiple criteria decision aid procedure for sorting strategic products. Journal of the Operational Research Society , 68(1): 53-61.) |
Not found |
SMAA |
SMAA-TRI (SMAA + ELECTRE TRI) |
Ordinal, Probabilistic or Fuzzy numbers |
Not necessary |
Yes |
Partial relative |
(Tervonen et al., 2007159. TERVONEN T, LAHDELMA R, DIAS JA, FIGUEIRA J & SALMINEN P. 2007. SMAA-TRI. In Environmental security in harbors and coastal areas (p. 217-231). Springer.) |
(Angilella & Mazzù, 20155. ANGILELLA S & MAZZÙ S. 2015. The financing of innovative SMEs: A multicriteria credit rating model. European Journal of Operational Research , 244(2): 540-554.; Jasiński et al., 201881. JASIŃSKI D, CINELLI M, DIAS LC, MEREDITH J & KIRWAN K. 2018. Assessing supply risks for non-fossil mineral resources via multi-criteria decision analysis. Resources Policy, 58, 150-158.; Karabay et al., 201683. KARABAY S, KÖSE E, KABAK M & OZCEYLAN E. 2016. Mathematical model and stochastic multi-criteria acceptability analysis for facility location problem. Promet-Traffic&Transportation, 28(3): 245-256.; Tervonen, 2014156. TERVONEN T. 2014. JSMAA: open source software for SMAA computations. International Journal of Systems Science, 45(1): 69-81.; Tervonen, Figueira, et al., 2009158. TERVONEN T, FIGUEIRA JR, LAHDELMA R, DIAS JA & SALMINEN P. 2009. A stochastic method for robustness analysis in sorting problems. European Journal of Operational Research , 192(1): 236-242.; Tervonen, Linkov, et al., 2009160. TERVONEN T, LINKOV I, FIGUEIRA JR, STEEVENS J, CHAPPELL M & MERAD M. 2009. Risk-based classification system of nanomaterials. Journal of Nanoparticle Research, 11(4): 757-766.) |
SMAA-FFS (SMAA + Fuzzy Flow Sort) |
(Pelissari, Oliveira, et al., 2019118. PELISSARI R, OLIVEIRA MC, AMOR S, BEN & ABACKERLI AJ. 2019. A new FlowSort-based method to deal with information imperfections in sorting decision-making problems. European Journal of Operational Research , 276(1): 235-246.) |
(Gaganis et al., 202056. GAGANIS C, PAPADIMITRI P & TASIOU M. 2020. A multicriteria decision support tool for modelling bank credit ratings. Annals of Operations Research, 1-30.; Pelissari et al., 2021116. PELISSARI R, ABACKERLI AJ, AMOR SBEN, OLIVEIRA MC & INFANTE KM. 2021. Multiple criteria hierarchy process for sorting problems under uncertainty applied to the evaluation of the operational maturity of research institutions. Omega , 103, 102381.; Pelissari et al., 2019117. PELISSARI R, BEN-AMOR S & DE OLIVEIRA MC. 2019. A Multiple-Criteria Decision Sorting Model for Pharmaceutical Suppliers Classification Under Multiple Uncertainties. In Pharmaceutical Supply Chains-Medicines Shortages (p. 229-247). Springer.) |
THESEUS |
THESEUS |
Fuzzy numbers |
Not necessary |
Yes |
Partial relative |
(Fernandez & Navarro, 201147. FERNANDEZ E & NAVARRO J. 2011. A new approach to multi-criteria sorting based on fuzzy outranking relations: The THESEUS method. European Journal of Operational Research , 213(2): 405-413.) |
(Fernandez et al., 201449. FERNANDEZ E, NAVARRO J & SALOMON E. 2014. Automatic enhancement of the reference set for multi-criteria sorting in the frame of THESEUS method. Foundations of Computing and Decision Sciences, 39(2): 57-77., 201748. FERNANDEZ E, NAVARRO J, COVANTES E & RODRIGUEZ J. 2017. Analysis of the effectiveness of the THESEUS multi-criteria sorting method: theoretical remarks and experimental evidence. Top, 25(2): 314-339.; Navarro et al., 2013106. NAVARRO J, FERNANDEZ E & OLMEDO R. 2013. Handling incomplete information in the framework of THESEUS multicriteria sorting method. Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support, 164-168.) |
TODIM and FSE |
TODIM-FSE |
Deterministic |
Yes (contribution function) |
No |
Partial relative (Prospect Theory's value function) |
(Passos & Gomes, 2014115. PASSOS AC, TEIXEIRA MG, GARCIA KC, CARDOSO AM & GOMES LFAM. 2014. Using the TODIM-FSE method as a decision-making support methodology for oil spill response. Computers & Operations Research, 42, 40-48.) |
(Araújo, 20156. ARAÚJO RM. 2015. Multicriteria Classification with TODIM-FSE. Procedia Computer Science, 55, 559-565. Available at: https://doi.org/10.1016/j.procs.2015.07.043 https://doi.org/10.1016/j.procs.2015.07....
; Passos et al., 2014115. PASSOS AC, TEIXEIRA MG, GARCIA KC, CARDOSO AM & GOMES LFAM. 2014. Using the TODIM-FSE method as a decision-making support methodology for oil spill response. Computers & Operations Research, 42, 40-48.) |
TOPSIS |
TOPSIS SORT |
Deterministic |
Yes |
Yes |
Pairwise (ideal solution) |
(Sabokbar et al., 201643. FARAJI SABOKBAR H, HOSSEINI A, BANAITIS A & BANAITIENE N. 2016. A novel sorting method TOPSIS-SORT: an applicaiton for Tehran environmental quality evaluation. Business Administration and Management, XIX(2): 87-104. Available at: https://doi.org/10.15240/tul/001/2016-2-006 https://doi.org/https://doi.org/10.15240...
) |
(Gül, 202167. GÜL M. 2021. A quantitative occupational risk assessment methodology based on TOPSIS-Sort with its application in aluminum extrusion industry. International Journal of Pure and Applied Sciences, 7(1): 163-172.; Silva et al., 2020148. SILVA DF DE L, FERREIRA L & ALMEIDA FILHO AT DE. 2020. A new preference disaggregation TOPSIS approach applied to sort corporate bonds based on financial statements and expert’s assessment. Expert Systems with Applications , 152, 113369.; Silva & Almeida Filho, 2020147. SILVA DF DE L & ALMEIDA FILHO AT DE. 2020. Sorting with TOPSIS through boundary and characteristic profiles. Computers & Industrial Engineering, 141, 106328.; Yamagishi & Ocampo, 2021168. YAMAGISHI K & OCAMPO L. 2021. Utilizing TOPSIS-Sort for sorting tourist sites for perceived COVID-19 exposure. Current Issues in Tourism, 1-11.) |
TOPSIS SORT-B |
(Silva & Almeida Filho, 2020147. SILVA DF DE L & ALMEIDA FILHO AT DE. 2020. Sorting with TOPSIS through boundary and characteristic profiles. Computers & Industrial Engineering, 141, 106328.) |
Not found |
TOPSIS SORT-C |
(Silva & Almeida Filho, 2020147. SILVA DF DE L & ALMEIDA FILHO AT DE. 2020. Sorting with TOPSIS through boundary and characteristic profiles. Computers & Industrial Engineering, 141, 106328.) |
Not found |
UTA |
UTADIS (I, II and III) |
Deterministic |
Yes |
Yes |
Preference disaggregation of decision maker's overall preference |
(Devaud et al., 198036. DEVAUD JM, GROUSSAUD G & JACQUET-LAGREZE E. 1980. UTADIS: Une me´thode de construction de fonctions d’utilite´ additives rendant compte de jugements globaux. European Working Group on Multicriteria Decision Aid, Bochum, 94.) |
(Asl et al., 20219. ASL FR, SINAEI H & NEISI A. 2021. Forming a Portfolio of Exchange Traded Funds with the Clustering and UTADIS Hybrid Models. Quarterly Journal of Quantitative Economics (Former Economic Studies), 18(1): 79-96.; Esmaelian et al., 201642. ESMAELIAN M, SHAHMORADI H & VALI M. 2016. A novel classification method: A hybrid approach based on extension of the UTADIS with polynomial and PSO-GA algorithm. Applied Soft Computing, 49, 56-70., 201741. ESMAELIAN M, SHAHMORADI H & NEMATI F. 2017. P-UTADIS: a multi criteria classification method. Intelligent Computational Systems: A Multi-Disciplinary Perspective, 1, 214.; Manshadi et al., 201594. MANSHADI ED, MEHREGAN MR & SAFARI H. 2015. Supplier classification using UTADIS method based on performance criteria. International Journal of Academic Research in Business and Social Sciences, 5(2): 31.; Mehregan et al., 201898. MEHREGAN MR, SADEGHI MOGHADAM MR & EMAMAT M. 2018. Applying the Clustering and UTADIS Models to form an Investment Portfolio. Financial Research Journal, 20(1): 53-74.; Asl et al., 20219. ASL FR, SINAEI H & NEISI A. 2021. Forming a Portfolio of Exchange Traded Funds with the Clustering and UTADIS Hybrid Models. Quarterly Journal of Quantitative Economics (Former Economic Studies), 18(1): 79-96.; Yang & Jiang, 2020169. YANG R & JIANG Q. 2020. Detecting Falsified Financial Statements Using a Hybrid SM-UTADIS Approach: Empirical Analysis of Listed Traditional Chinese Medicine Companies in China. Discrete Dynamics in Nature and Society, 2020.; Zopounidis& Doumpos, 1999173. ZOPOUNIDIS C & DOUMPOS M. 1999. Business failure prediction using the UTADIS multicriteria analysis method. Journal of the Operational Research Society , 50(11): 1138- 1148.) |
VIKOR |
VIKOR SORT |
Deterministic |
Not necessary |
Yes |
Pairwise (ideal solution) |
(Demir et al., 201835. DEMIR L, AKPINAR ME, ARAZ C & ILGIN MA. 2018. A green supplier evaluation system based on a new multi-criteria sorting method: VIKORSORT. Expert Systems with Applications , 114, 479-487.) |
Not found |