{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T07:27:08Z","timestamp":1773214028961,"version":"3.50.1"},"reference-count":48,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,9,29]],"date-time":"2021-09-29T00:00:00Z","timestamp":1632873600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This manuscript aims to propose a new extension of the EDAS method, adapted for usage with single-valued neutrosophic numbers. By using single-valued neutrosophic numbers, the EDAS method can be more efficient for solving complex problems whose solution requires assessment and prediction, because truth- and falsity-membership functions can be used for expressing the level of satisfaction and dissatisfaction about an attitude. In addition, the indeterminacy-membership function can be used to point out the reliability of the information given with truth- and falsity-membership functions. Thus, the proposed extension of the EDAS method allows the use of a smaller number of complex evaluation criteria. The suitability and applicability of the proposed approach are presented through three illustrative examples.<\/jats:p>","DOI":"10.3390\/axioms10040245","type":"journal-article","created":{"date-parts":[[2021,9,30]],"date-time":"2021-09-30T00:03:42Z","timestamp":1632960222000},"page":"245","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["A Single-Valued Neutrosophic Extension of the EDAS Method"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6846-3074","authenticated-orcid":false,"given":"Dragi\u0161a","family":"Stanujki\u0107","sequence":"first","affiliation":[{"name":"Technical Faculty in Bor, University of Belgrade, Vojske Jugoslavije 12, 19210 Bor, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5308-2503","authenticated-orcid":false,"given":"Darjan","family":"Karaba\u0161evi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2652-4860","authenticated-orcid":false,"given":"Gabrijela","family":"Popovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dragan","family":"Pamu\u010dar","sequence":"additional","affiliation":[{"name":"Department of Logistics, Military Academy, University of Defence in Belgrade, Pavla Juri\u0161i\u0107a \u0160turma 33, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4452-5768","authenticated-orcid":false,"given":"\u017deljko","family":"Stevi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Transport and Traffic Engineering, University of East Sarajevo, Vojvode Mi\u0161i\u0107a 52, 74000 Doboj, Bosnia and Herzegovina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3201-949X","authenticated-orcid":false,"given":"Edmundas Kazimieras","family":"Zavadskas","sequence":"additional","affiliation":[{"name":"Institute of Sustainable Construction, Vilnius Gediminas Technical University, Sauletekio al. 11, LT-10223 Vilnius, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5560-5926","authenticated-orcid":false,"given":"Florentin","family":"Smarandache","sequence":"additional","affiliation":[{"name":"Mathematics and Science Division, Gallup Campus, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.31181\/dmame2104019k","article-title":"WeIghtIng the factors affect\u0131ng log\u0131st\u0131cs outsourc\u0131ng","volume":"4","author":"Demir","year":"2021","journal-title":"Decis. Mak. Appl. Manag. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Valipour, A., Sarvari, H., and Tamo\u0161aitiene, J. (2018). Risk Assessment in PPP Projects by Applying Different MCDM Methods and Comparative Results Analysis. Adm. Sci., 8.","DOI":"10.3390\/admsci8040080"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1108\/MD-02-2019-017","article-title":"MCDM\/A in practice: Methodological developments and real-world applications","volume":"57","author":"Ferreira","year":"2019","journal-title":"Manag. Decis."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1016\/j.eswa.2009.04.068","article-title":"Measures and evaluation for environment watershed plans using a novel hybrid MCDM model","volume":"37","author":"Chen","year":"2010","journal-title":"Expert Syst. Appl."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"127","DOI":"10.31181\/dmame2104127b","article-title":"Application of fuzzy AHP and fuzzy MARCOS approach for the evaluation of e-service quality in the airline industry","volume":"4","year":"2021","journal-title":"Decis. Mak. Appl. Manag. Eng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"82","DOI":"10.31181\/oresta2040182c","article-title":"Supplier selection process in dairy industry using fuzzy TOPSIS method","volume":"4","author":"Cakar","year":"2021","journal-title":"Oper. Res. Eng. Sci. Theory Appl."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"B141","DOI":"10.1287\/mnsc.17.4.B141","article-title":"Decision-Making in a Fuzzy Environment","volume":"17","author":"Bellman","year":"1970","journal-title":"Manag. Sci."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Set. Syst."},{"key":"ref_10","unstructured":"Smarandache, F. (1998). Neutrosophy Probability Set and Logic, American Research Press."},{"key":"ref_11","unstructured":"Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press."},{"key":"ref_12","first-page":"10","article-title":"Single valued neutrosophic sets","volume":"1","author":"Wang","year":"2010","journal-title":"Rev. Air Force Acad."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"85","DOI":"10.15388\/Informatica.2016.78","article-title":"Some Single Valued Neutrosophic Number Heronian Mean Operators and Their Application in Multiple Attribute Group Decision Making","volume":"27","author":"Li","year":"2016","journal-title":"Informatica"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"389","DOI":"10.24846\/v29i4y202001","article-title":"M-generalised q-neutrosophic MULTIMOORA for Decision Making","volume":"29","author":"Zavadskas","year":"2020","journal-title":"Stud. Inform. Control."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Zavadskas, E.K., Bausys, R., Lescauskiene, I., and Usovaite, A. (2021). MULTIMOORA under Interval-Valued Neutrosophic Sets as the Basis for the Quantitative Heuristic Evaluation Methodology HEBIN. Mathematics, 9.","DOI":"10.3390\/math9010066"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"435","DOI":"10.15388\/Informatica.2015.57","article-title":"Multi-Criteria Inventory Classification Using a New Method of Evaluation Based on Distance from Average Solution (EDAS)","volume":"26","author":"Ghorabaee","year":"2015","journal-title":"Informatica"},{"key":"ref_17","first-page":"76","article-title":"Evaluation by an area-based method of ranking interval type-2 fuzzy sets (EAMRIT-2F) for multi-criteria group decision-making","volume":"15","author":"Zavadskas","year":"2016","journal-title":"Trans. Bus. Econ."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/j.cie.2017.08.017","article-title":"A new multi-criteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations","volume":"112","author":"Ghorabaee","year":"2017","journal-title":"Comput. Ind. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"358","DOI":"10.15837\/ijccc.2016.3.2557","article-title":"Extended EDAS Method for Fuzzy Multi-criteria Decision-making: An Application to Supplier Selection","volume":"11","author":"Ghorabaee","year":"2016","journal-title":"Int. J. Comput. Commun. Control."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Stevi\u0107, \u017d., Pamu\u010dar, D., Vasiljevi\u0107, M., Stoji\u0107, G., and Korica, S. (2017). Novel Integrated Multi-Criteria Model for Supplier Selection: Case Study Construction Company. Symmetry, 9.","DOI":"10.3390\/sym9110279"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"615","DOI":"10.3846\/20294913.2016.1213207","article-title":"Third-party logistics (3PLs) provider selection via Fuzzy AHP and EDAS integrated model","volume":"24","author":"Ecer","year":"2018","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"4891","DOI":"10.1007\/s00500-018-3088-y","article-title":"A novel interval-valued neutrosophic EDAS method: Prioritization of the United Nations national sustainable development goals","volume":"22","author":"Kahraman","year":"2018","journal-title":"Soft Comput."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"255","DOI":"10.24846\/v28i3y201902","article-title":"A Novel Extended EDAS in Minkowski Space (EDAS-M) Method for Evaluating Autonomous Vehicles","volume":"28","author":"Zavadskas","year":"2019","journal-title":"Stud. Inform. Control."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"47","DOI":"10.5937\/ekonomika2004047J","article-title":"An approach for e-learning courses evaluation based on the EDAS method","volume":"66","year":"2020","journal-title":"Ekonomika"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"111479","DOI":"10.1016\/j.enpol.2020.111479","article-title":"Exploring the barriers to renewable energy adoption utilising MULTIMOORA-EDAS method","volume":"142","author":"Asante","year":"2020","journal-title":"Energy Policy"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"107436","DOI":"10.1016\/j.asoc.2021.107436","article-title":"Safety risk assessment of metro construction under epistemic uncertainty: An integrated framework using credal networks and the EDAS method","volume":"108","author":"Hou","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Rashid, T., Ali, A., and Chu, Y.-M. (2021). Hybrid BW-EDAS MCDM methodology for optimal industrial robot selection. PLoS ONE, 16.","DOI":"10.1371\/journal.pone.0246738"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"5","DOI":"10.24846\/v26i1y201701","article-title":"An Extension of the EDAS Method Based on the Use of Interval Grey Numbers","volume":"26","author":"Stanujkic","year":"2017","journal-title":"Stud. Inform. Control."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3846\/16486897.2017.1281139","article-title":"Intuitionistic fuzzy EDAS method: An application to solid waste disposal site selection","volume":"25","author":"Kahraman","year":"2017","journal-title":"J. Environ. Eng. Landsc. Manag."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"373","DOI":"10.3233\/FI-2017-1525","article-title":"Interval-valued Fuzzy Soft Decision Making Methods Based on MABAC, Similarity Measure and EDAS","volume":"152","author":"Peng","year":"2017","journal-title":"Fundam. Informaticae"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"86","DOI":"10.3846\/tede.2019.11333","article-title":"EDAS method for multiple attribute group decision making under q-rung orthopair fuzzy environment","volume":"26","author":"Li","year":"2020","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"105546","DOI":"10.1109\/ACCESS.2019.2932267","article-title":"Extended EDAS Methods for Multi-Criteria Group Decision-Making Based on IV-CFSWAA and IV-CFSWGA Operators with Interval-Valued Complex Fuzzy Soft Information","volume":"7","author":"Fan","year":"2019","journal-title":"IEEE Access"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"\u00d6z\u00e7elik, G., and Nalk\u0131ran, M. (2021). An Extension of EDAS Method Equipped with Trapezoidal Bipolar Fuzzy Information: An Application from Healthcare System. Int. J. Fuzzy Syst.","DOI":"10.1007\/s40815-021-01110-0"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10489-020-01706-3","article-title":"Decision-making method based on new entropy and refined single-valued neutrosophic sets and its application in typhoon disaster assessment","volume":"51","author":"Tan","year":"2021","journal-title":"Appl. Intell."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"125805","DOI":"10.1016\/j.jclepro.2021.125805","article-title":"Development of a hybrid multi-criteria decision-making approach for sustainability evaluation of bioenergy production technologies: A case study","volume":"290","author":"Gamal","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Xu, D., Cui, X., and Xian, H. (2020). An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection. Mathematics, 8.","DOI":"10.3390\/math8020282"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2089","DOI":"10.3233\/JIFS-190811","article-title":"A new multi-criteria group decision model based on Single-valued triangular Neutrosophic sets and EDAS method","volume":"38","author":"Fan","year":"2020","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"118237","DOI":"10.1016\/j.energy.2020.118237","article-title":"Selection of wind turbines with multi-criteria decision making techniques involving neutrosophic numbers: A case from Turkey","volume":"207","author":"Supciller","year":"2020","journal-title":"Energy"},{"key":"ref_39","first-page":"1","article-title":"An Extended EDAS Method for Multicriteria Decision-Making Based on Multivalued Neutrosophic Sets","volume":"2020","author":"Han","year":"2020","journal-title":"Complexity"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"2737","DOI":"10.1007\/s13369-018-3487-5","article-title":"A Linguistic Neutrosophic Multi-criteria Group Decision-Making Approach with EDAS Method","volume":"44","author":"Li","year":"2019","journal-title":"Arab. J. Sci. Eng."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.3233\/JIFS-179223","article-title":"EDAS method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment","volume":"37","author":"Wang","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Kara\u015fan, A., and Kahraman, C. (2017). Interval-Valued Neutrosophic Extension of EDAS Method. Advances in Fuzzy Logic and Technology, Springer.","DOI":"10.1007\/978-3-319-66824-6_31"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1615\/Int.J.UncertaintyQuantification.2017020416","article-title":"Algorithms for interval neutrosophic multiple attribute decision-making based on MABAC, similarity measure, and EDAS","volume":"7","author":"Peng","year":"2017","journal-title":"Int. J. Uncertain. Quantif."},{"key":"ref_44","unstructured":"Sahin, R. (2014). Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment. arXiv."},{"key":"ref_45","first-page":"22","article-title":"A novel approach for assessing the reliability of data contained in a single valued neutrosophic number and its application in multiple criteria decision making","volume":"11","author":"Stanujkic","year":"2020","journal-title":"Int. J. Neutrosophic. Sci."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1007\/s00521-015-1891-2","article-title":"TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment","volume":"27","author":"Biswas","year":"2016","journal-title":"Neural Comput. Appl."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"181","DOI":"10.15388\/Informatica.2017.125","article-title":"A neutrosophic extension of the MULTI-MOORA method","volume":"28","author":"Stanujkic","year":"2017","journal-title":"Informatica"},{"key":"ref_48","first-page":"40","article-title":"An Approach to Measuring the Website Quality Based on Neutrosophic Sets","volume":"Volume II","author":"Stanujkic","year":"2018","journal-title":"New Trends in Neutrosophic Theory and Applications"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/4\/245\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:07:30Z","timestamp":1760166450000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/4\/245"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,29]]},"references-count":48,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,12]]}},"alternative-id":["axioms10040245"],"URL":"https:\/\/doi.org\/10.3390\/axioms10040245","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,29]]}}}