{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T16:56:49Z","timestamp":1785430609157,"version":"3.56.0"},"reference-count":84,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2020,6,28]],"date-time":"2020-06-28T00:00:00Z","timestamp":1593302400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Companies can perform their freight distribution in three different ways. The first concept, the in-house concept, represents the use of a company\u2019s own resources and knowledge to organize transportation from the production to retailers or from the warehouse to customers. The opposite concept is to outsource distribution activities by hiring third-party logistics providers. The third concept represents a combination of the previous two. Although the arguments in favor of outsourcing can be found in the literature, an appropriate selection of a freight distribution concept is specific for each company and depends on many evaluation criteria and their symmetrical roles. This paper presents a methodology that can be used by companies that need to choose their freight distribution concept. An advanced extension of the Additive Ratio ASsessment (ARAS) method is developed to solve the freight distribution concept selection problem. To illustrate the implementation of the proposed methodology, a tire manufacturing company from the Czech Republic is taken as a case study. However, the proposed picture fuzzy ARAS method is general and can be used by any other company. To validate the novel picture fuzzy ARAS method, a comparative analysis with the nine existing state-of-the-art picture fuzzy multi-criteria decision-making methods is provided.<\/jats:p>","DOI":"10.3390\/sym12071062","type":"journal-article","created":{"date-parts":[[2020,6,30]],"date-time":"2020-06-30T14:29:39Z","timestamp":1593527379000},"page":"1062","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":64,"title":["Picture Fuzzy ARAS Method for Freight Distribution Concept Selection"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9162-2133","authenticated-orcid":false,"given":"Stefan","family":"Jov\u010di\u0107","sequence":"first","affiliation":[{"name":"Faculty of Transport Engineering, University of Pardubice, Studentsk\u00e1 95, 532 10 Pardubice, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5709-3744","authenticated-orcid":false,"given":"Vladimir","family":"Simi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Petr","family":"Pr\u016f\u0161a","sequence":"additional","affiliation":[{"name":"Faculty of Transport Engineering, University of Pardubice, Studentsk\u00e1 95, 532 10 Pardubice, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8112-8329","authenticated-orcid":false,"given":"Mom\u010dilo","family":"Dobrodolac","sequence":"additional","affiliation":[{"name":"Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,6,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Bennet, A., and Bennet, D. (2004). Organizational Survival in the New World: The Intelligent Complex Adaptive System, Elsevier.","DOI":"10.4324\/9780080513331"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1515\/eng-2019-0071","article-title":"Operative production planning utilising quantitative forecasting and Monte Carlo simulations","volume":"9","author":"Fabianova","year":"2019","journal-title":"Open Eng."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Fedorko, G., Molnar, V., Honus, S.H., Neradilova, A., and Kampf, R. The Application of Simulation Model of A Milk Run To Identify The Occurrence Of Failures. Int. J. Simul. Model., 2018.","DOI":"10.2507\/IJSIMM17(3)440"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"136","DOI":"10.12913\/22998624\/94965","article-title":"Use of Simulation for Waste Management and Reverse Material Flow","volume":"12","author":"Dovica","year":"2018","journal-title":"Adv. Sci. Technol. Res. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"210","DOI":"10.12913\/22998624\/94963","article-title":"Control of modular conveyor and automated handling devices interconnection","volume":"12","author":"Cempirek","year":"2018","journal-title":"Adv. Sci. Technol. Res. J."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1080\/03081060.2013.770945","article-title":"The location of public logistic centers: An expanded capacity-limited fixed cost location-allocation modeling approach","volume":"36","author":"Georgijevic","year":"2013","journal-title":"Transp. Plan. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Cuong, B.C., and Kreinovich, V. (2013, January 15\u201318). Picture fuzzy sets\u2014A new concept for computational intelligence problems. Proceedings of the Third World Congress on Information and Communication Technologies, Hanoi, Vietnam.","DOI":"10.1109\/WICT.2013.7113099"},{"key":"ref_8","first-page":"409","article-title":"Picture fuzzy sets","volume":"30","author":"Cuong","year":"2014","journal-title":"J. Comput. Sci. Cybern."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1973","DOI":"10.3233\/JIFS-179259","article-title":"Models for multiple attribute decision making with picture fuzzy information","volume":"37","author":"Liu","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"159","DOI":"10.3846\/tede.2010.10","article-title":"A new additive ratio assessment (ARAS) method in multi-criteria decision-making","volume":"16","author":"Zavadskas","year":"2010","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S1644-9665(12)60141-1","article-title":"Multiple criteria analysis of foundation instalment alternatives by applying Additive Ratio Assessment (ARAS) method","volume":"10","author":"Zavadskas","year":"2010","journal-title":"Arch. Civ. Mech. Eng."},{"key":"ref_12","first-page":"319","article-title":"A fuzzy ARAS method for supply chain management performance measurement in SMEs under uncertainty","volume":"16","author":"Rostamzadeh","year":"2017","journal-title":"Transform. Bus. Econ."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Alinezhad, A., and Khalili, J. (2019). ARAS method. New Methods and Applications in Multiple Attribute Decision Making (MADM), Springer.","DOI":"10.1007\/978-3-030-15009-9_9"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1016\/j.renene.2019.06.157","article-title":"Sustainability indicators for renewable energy systems using multi-criteria decision-making model and extended SWARA\/ARAS hybrid method","volume":"146","author":"Ghenai","year":"2020","journal-title":"Renew. Energy"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.ijpe.2007.05.017","article-title":"Third-party logistics: A literature review","volume":"113","author":"Marasco","year":"2008","journal-title":"Int. J. Prod. Econ."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/j.ijpe.2015.08.028","article-title":"Third-party purchase: An empirical study of third-party logistics providers in China","volume":"171","author":"Shi","year":"2016","journal-title":"Int. J. Prod. Econ."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1108\/09600039410066141","article-title":"Global Supply Chains: Factors Influencing Outsourcing of Logistics Functions","volume":"24","author":"Rao","year":"1994","journal-title":"Int. J. Phys. Distrib. Logist. Manag."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1108\/09600030610710854","article-title":"A comparative study on the use of third party logistics services by Singaporean and Malaysian firms","volume":"36","author":"Bhatnagar","year":"2006","journal-title":"Int. J. Phys. Distrib. Logist. Manag."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1108\/13598540610703864","article-title":"Outsourcing Decision Support: A Survey of Benefits, Risks, and Decision Factors","volume":"11","author":"Kremic","year":"2006","journal-title":"Supply Chain Manag. Int. J."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.jom.2011.10.003","article-title":"The perilous effects of capability loss on outsourcing management and performance","volume":"30","author":"Handley","year":"2012","journal-title":"J. Oper. Manag."},{"key":"ref_21","first-page":"285","article-title":"A Make-or-Buy Decision Process for Outsourcing","volume":"22","author":"Bajec","year":"2010","journal-title":"Promet Traffic Transp."},{"key":"ref_22","first-page":"1723","article-title":"Outsourcing priorities of government functions: Analytic network process approach","volume":"4","author":"Pirannejad","year":"2010","journal-title":"Afr. J. Bus. Manag."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3755","DOI":"10.1016\/j.eswa.2009.11.048","article-title":"Developing a hybrid multi-criteria model for selection of outsourcing providers","volume":"37","author":"Liou","year":"2010","journal-title":"Expert Syst Appl."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1111","DOI":"10.1016\/j.indmarman.2009.10.004","article-title":"Outsourcing reverse logistics of high-tech manufacturing firms by using a systematic decision-making approach: TFT-LCD sector in Taiwan","volume":"39","author":"Cheng","year":"2010","journal-title":"Ind. Mark. Manag."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1016\/j.trc.2011.02.005","article-title":"The use of outsourcing logistics activities: The case of Turkey","volume":"19","author":"Aktas","year":"2011","journal-title":"Transp. Res. Part C Emerg. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1080\/09537287.2011.648490","article-title":"Logistics outsourcing, its motives and the level of logistics costs in manufacturing and trading companies operating in Finland","volume":"24","author":"Solakivi","year":"2013","journal-title":"Prod. Plan. Control"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.jairtraman.2012.12.009","article-title":"An outsourcing provider decision model for the airline industry","volume":"28","author":"Hsu","year":"2013","journal-title":"J. Air Transp. Manag."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1108\/JM2-06-2014-0045","article-title":"A novel hybrid MCDM approach for outsourcing supplier selection","volume":"11","author":"Rezaeisaray","year":"2016","journal-title":"J. Model. Manag."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1520\/JTE20140065","article-title":"Evaluating and Selecting the Best Outsourcing Service Country in East and Southeast Asia: An AHP Approach","volume":"1","author":"Chen","year":"2016","journal-title":"J. Test. Eval."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Kahraman, C., \u00d6ztay\u015fi, B., and Onar, \u00c7.S. (2018). An Integrated Intuitionistic Fuzzy AHP and TOPSIS Approach to Evaluation of Outsource Manufacturers. J. Intell. Syst.","DOI":"10.1515\/jisys-2017-0363"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Arif, J., and Jawab, F. (2018, January 26\u201327). Outsourcing of Logistics\u2019 Activities: Impact Analysis on Logistics Service Performance. Proceedings of the 2018 International Colloquium on Logistics and Supply Chain Management (LOGISTIQUA), Tangier, Morocco.","DOI":"10.1109\/LOGISTIQUA.2018.8428272"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Sanchis-Pedregosa, C., Machuca, J.A.D., and Gonzalez-Zamora, M.D.M. (2018). Determinants of success in transport services outsourcing: Empirical study in Europe. Int. J. Logist. Manag.","DOI":"10.1108\/IJLM-09-2016-0207"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1007\/s11628-018-00394-x","article-title":"Balancing in-house and outsourced logistics services: Effects on supply chain agility and firm performance","volume":"13","author":"Hwang","year":"2019","journal-title":"Serv. Bus."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"964","DOI":"10.1108\/JEIM-10-2018-0236","article-title":"Disentangling the driving factors of logistics outsourcing: A configurational perspective","volume":"32","author":"Wan","year":"2019","journal-title":"J. Enterp. Inf. Manag."},{"key":"ref_35","first-page":"447","article-title":"Is outsourcing the best solution in increasing organizational performance?","volume":"20","author":"Bucovetchi","year":"2019","journal-title":"Qual. Access Success"},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Zarbakhshnia, N., Wu, Y., Govindan, K., and Soleimani, H. (2019). A novel hybrid multiple attribute decision-making approach for outsourcing sustainable reverse logistics. J. Clean. Prod. J. Clean. Prod., 242.","DOI":"10.1016\/j.jclepro.2019.118461"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Kiani, M., Bagheri, M., Ebrahimi, A., and Alimohammadlou, M. (2019). A model for prioritizing outsourceable activities in universities through an integrated fuzzy-MCDM method. Int. J. Constr. Manag.","DOI":"10.1080\/15623599.2019.1645264"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.ajsl.2019.12.011","article-title":"Green Logistics Outsourcing Employing Multi Criteria Decision Making and Quality Function Deployment in the Petrochemical Industry","volume":"35","author":"Vazifehdan","year":"2019","journal-title":"Assian J. Shipp. Logist."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Sayed, M., Hendry, L.C., and Bell, M.Z. (2020). Sustainable procurement: Comparing in-house and outsourcing implementation modes. Prod. Plan. Control.","DOI":"10.1080\/09537287.2020.1717661"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Mokrini, A., and Aouam, T. (2020). A fuzzy multi-criteria decision analysis approach for risk evaluation in healthcare logistics outsourcing: Case of Morocco. Health Serv. Manag. Res., 1\u201311.","DOI":"10.1177\/0951484820901668"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1016\/j.asoc.2015.12.005","article-title":"An integrated intuitionistic fuzzy AHP and SWOT method for outsourcing reverse logistics","volume":"40","author":"Tavana","year":"2016","journal-title":"Appl. Soft Comput."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1016\/j.asoc.2016.07.023","article-title":"Supplier selection in nuclear power industry with extended VIKOR method under linguistic information","volume":"48","author":"Wu","year":"2016","journal-title":"Appl. Soft Comput."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"257","DOI":"10.3846\/jcem.2010.30","article-title":"Multiple criteria assessment of alternatives for built and human environment renovation","volume":"16","author":"Tupenaite","year":"2010","journal-title":"J. Civ. Eng. Manag."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"423","DOI":"10.3846\/transport.2010.52","article-title":"A new fuzzy additive ratio assessment method (ARAS-F). Case study: The analysis of fuzzy multiple criteria in order to select the logistic centers location","volume":"25","author":"Turskis","year":"2010","journal-title":"Transport"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"597","DOI":"10.15388\/Informatica.2010.307","article-title":"A novel method for multiple criteria analysis: Grey Additive Ratio Assessment (ARAS-G) method","volume":"21","author":"Turskis","year":"2010","journal-title":"Informatica"},{"key":"ref_46","first-page":"645","article-title":"Integrated fuzzy multiple criteria decision-making model for architect selection","volume":"17","author":"Turskis","year":"2011","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"34","DOI":"10.3846\/20294913.2012.656151","article-title":"Integrated assessment of Lithuanian economic sectors based on financial ratios and fuzzy MCDM Methods","volume":"18","year":"2012","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_48","first-page":"65","article-title":"Multiple criteria assessment of elite security personal based on ARAS and expert methods","volume":"46","author":"Dadelo","year":"2012","journal-title":"Econ. Comput. Econ. Cybern. Stud. Res."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"834","DOI":"10.3846\/13923730.2012.744537","article-title":"Multiple criteria selection of pile-column construction technology","volume":"18","author":"Zavadskas","year":"2012","journal-title":"J. Civ. Eng. Manag."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1142\/S0219622012400135","article-title":"Multiple criteria decision support system for assessment of projects managers in construction","volume":"11","author":"Zavadskas","year":"2012","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1142\/S021962201350003X","article-title":"A model based on ARAS-G and AHP methods for multiple criteria prioritizing of heritage value","volume":"12","author":"Turskis","year":"2013","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"232","DOI":"10.3846\/16111699.2014.903201","article-title":"A hybrid linguistic fuzzy multiple criteria group selection of a chief accounting officer","volume":"15","author":"Turskis","year":"2014","journal-title":"J. Bus. Econ. Manag."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/j.acme.2013.10.007","article-title":"Assessment of priority alternatives for preservation of historic buildings using model based on ARAS and AHP methods","volume":"14","author":"Kutut","year":"2014","journal-title":"Arch. Civ. Mech. Eng."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"403","DOI":"10.3846\/16111699.2014.923929","article-title":"An integrated model for extending brand based on fuzzy ARAS and ANP methods","volume":"15","author":"Zamani","year":"2014","journal-title":"J. Bus. Econ. Manag."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.acme.2014.09.001","article-title":"Multi-criteria decision-making system for sustainable building assessment\/certification","volume":"15","author":"Medineckiene","year":"2015","journal-title":"Arch. Civ. Mech. Eng."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"335","DOI":"10.15388\/Informatica.2015.51","article-title":"Extension of the ARAS method for decision-making problems with interval-valued triangular fuzzy numbers","volume":"26","author":"Stanujkic","year":"2015","journal-title":"Informatica"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.asoc.2014.09.019","article-title":"Multi-criteria selection of a deep-water port in the Eastern Baltic Sea","volume":"26","author":"Zavadskas","year":"2015","journal-title":"Appl. Soft Comput."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"651","DOI":"10.3846\/20294913.2015.1072750","article-title":"Integrated FAHP, ARAS-F and MSGP methods for green supplier evaluation and selection","volume":"22","author":"Liao","year":"2016","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_59","doi-asserted-by":"crossref","unstructured":"Nguyen, H.-T., Md Dawal, S.Z., Nukman, Y., Rifai, A.P., and Aoyama, H. (2016). An integrated MCDM model for conveyor equipment evaluation and selection in an FMC based on a fuzzy AHP and fuzzy ARAS in the presence of vagueness. PLoS ONE, 11.","DOI":"10.1371\/journal.pone.0153222"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.renene.2015.06.032","article-title":"Multi-criteria analysis of electricity generation technologies in Lithuania","volume":"85","author":"Turskis","year":"2016","journal-title":"Renew. Energy"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1016\/j.asoc.2018.04.040","article-title":"An extension of ARAS methodology under interval valued intuitionistic fuzzy environment for digital supply chain","volume":"69","year":"2018","journal-title":"Appl. Soft Comput."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1002\/hfm.20713","article-title":"Competency-based IT personnel selection using a hybrid SWARA and ARAS-G methodology","volume":"28","author":"Dahooie","year":"2018","journal-title":"Hum. Factors Ergon. Manuf. Serv. Ind."},{"key":"ref_63","doi-asserted-by":"crossref","unstructured":"Dahooie, J.H., Zavadskas, E.K., Abolhasani, M., Vanaki, A., and Turskis, Z. (2018). A novel approach for evaluation of projects using an interval\u2013valued fuzzy Additive Ratio Assessment (ARAS) method: A case study of oil and gas well drilling projects. Symmetry, 10.","DOI":"10.3390\/sym10020045"},{"key":"ref_64","doi-asserted-by":"crossref","unstructured":"Radovi\u0107, D., Stevi\u0107, \u017d, Pamu\u010dar, D., Zavadskas, E.K., Badi, I., Antuchevi\u010diene, J., and Turskis, Z. (2018). Measuring performance in transportation companies in developing countries: A novel rough ARAS Model. Symmetry, 10.","DOI":"10.3390\/sym10100434"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"100382","DOI":"10.1016\/j.spasta.2019.100382","article-title":"BWM-ARAS: A new hybrid MCDM method for Cu prospectively mapping in the Abhar area, NW Iran","volume":"33","author":"Bahrami","year":"2019","journal-title":"Spat. Stat."},{"key":"ref_66","first-page":"1088","article-title":"A new evaluation model for corporate financial performance using integrated CCSD and FCM-ARAS approach","volume":"32","author":"Dahooie","year":"2019","journal-title":"Econ. Res. Ekon. Istraz."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"1088","DOI":"10.1016\/j.petrol.2019.01.051","article-title":"An integrated ARAS and interval type-2 hesitant fuzzy sets method for underground site selection: Seasonal hydrogen storage in salt caverns","volume":"175","author":"Iordache","year":"2019","journal-title":"J. Pet. Sci. Eng."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1016\/j.jairtraman.2019.01.011","article-title":"An integrated approach to catering supplier selection using AHP-ARAS-MCGP methodology","volume":"75","author":"Fu","year":"2019","journal-title":"J. Air Transp. Manag."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1016\/j.jclepro.2019.03.257","article-title":"A framework for sustainable utility scale renewable energy selection in South Africa","volume":"224","author":"Naicker","year":"2019","journal-title":"J. Clean. Prod."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"1871","DOI":"10.1108\/K-04-2018-0184","article-title":"Determination of individuals\u2019 life satisfaction levels living in Turkey by FMCDM methods","volume":"48","author":"Pehlivan","year":"2019","journal-title":"Kybernetes"},{"key":"ref_71","doi-asserted-by":"crossref","unstructured":"Turskis, Z., Urbonas, K., and Dani\u016bnas, A. (2019). A hybrid fuzzy group multi-criteria assessment of structural solutions of the symmetric frame alternatives. Symmetry, 11.","DOI":"10.3390\/sym11020261"},{"key":"ref_72","first-page":"477","article-title":"Some geometric aggregation operators based on picture fuzzy sets and their application in multiple attribute decision-making","volume":"37","author":"Wang","year":"2017","journal-title":"Ital. J. Pure Appl. Math."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"65747","DOI":"10.1109\/ACCESS.2018.2878747","article-title":"An integrated EDAS-ELECTRE method with picture fuzzy information for cleaner production evaluation in gold mines","volume":"6","author":"Liang","year":"2018","journal-title":"Ieee Access"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/s10700-016-9249-5","article-title":"Measuring analogousness in picture fuzzy sets: From picture distance measures to picture association measures","volume":"16","author":"Son","year":"2017","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"ref_75","doi-asserted-by":"crossref","unstructured":"Xu, X.-G., Shi, H., Xu, D.-H., and Liu, H.-C. (2019). Picture fuzzy Petri nets for knowledge representation and acquisition in considering conflicting opinions. Appl. Sci., 9.","DOI":"10.3390\/app9050983"},{"key":"ref_76","doi-asserted-by":"crossref","unstructured":"Torun, H., and G\u00f6rdebil, M. (2019). Multi criteria decision making based on TOPSIS method with extended fuzzy sets. Adv. Intell. Syst. Comput., 558\u2013566.","DOI":"10.1007\/978-3-030-23756-1_68"},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.3846\/tede.2019.10714","article-title":"EDAS method for multiple criteria group decision making with picture fuzzy information and its application to green suppliers selections","volume":"25","author":"Zhang","year":"2019","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"555","DOI":"10.15388\/Informatica.2018.181","article-title":"TODIM method for picture fuzzy multiple attribute decision-making","volume":"29","author":"Wei","year":"2018","journal-title":"Informatica"},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"103961","DOI":"10.1016\/j.tourman.2019.103961","article-title":"The differences in hotel selection among various types of travelers: A comparative analysis with a useful bounded rationality behavioral decision support model","volume":"76","author":"Wang","year":"2020","journal-title":"Tour. Manag."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.asoc.2017.12.014","article-title":"Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project","volume":"64","author":"Wang","year":"2018","journal-title":"Appl. Soft Comput."},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.jclepro.2018.04.169","article-title":"A multi-criteria decision-making framework for risk ranking of energy performance contracting project under picture fuzzy environment","volume":"191","author":"Wang","year":"2018","journal-title":"J. Clean. Prod."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"491","DOI":"10.3846\/16111699.2016.1197147","article-title":"Picture fuzzy cross-entropy for multiple attribute decision making problems","volume":"17","author":"Wei","year":"2016","journal-title":"J. Bus. Econ. Manag."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/s13042-016-0604-1","article-title":"Projection models for multiple attribute decision making with picture fuzzy information","volume":"9","author":"Wei","year":"2018","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"1271","DOI":"10.1016\/j.cie.2018.07.048","article-title":"Study of site selection of electric vehicle charging station based on extended GRP method under picture fuzzy environment","volume":"135","author":"Ju","year":"2019","journal-title":"Comput. Ind. 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