{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T05:45:53Z","timestamp":1783748753846,"version":"3.55.0"},"reference-count":50,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T00:00:00Z","timestamp":1584921600000},"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>Multiple attribute group decision-making (MAGDM) methods have a significant influence on decision-making in a variety of strategic fields, including science, business and real-life studies. The problem of evaluation in green building energy-saving design projects could be regarded as a type of MAGDM problem. The evaluation based on distance from average solution (EDAS) method is one of the MAGDM methods, which simplifies the traditional decision-making process. Symmetry among some attributes that are known and unknown as well as between pure attribute sets and fuzzy attribute membership sets can be an effective way to solve MAGDM problems. In this paper, the classical EDAS method is extended to intuitionistic fuzzy environments to solve some MAGDM issues. First, some concepts of intuitionistic fuzzy sets (IFSs) are briefly reviewed. Then, by integrating the EDAS method with IFSs, we establish an IF-EDAS method to solve the MAGDM issues and present all calculating procedures in detail. Finally, we provide an empirical application for evaluating green building energy-saving design projects to demonstrate this novel method. Some comparative analyses are also made to show the merits of the method.<\/jats:p>","DOI":"10.3390\/sym12030484","type":"journal-article","created":{"date-parts":[[2020,3,24]],"date-time":"2020-03-24T13:04:04Z","timestamp":1585055044000},"page":"484","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":82,"title":["An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects"],"prefix":"10.3390","volume":"12","author":[{"given":"Yuan","family":"Liang","sequence":"first","affiliation":[{"name":"School of Civil Engineering and Architecture, Northeast Petroleum University, Daqing 163318, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2687","DOI":"10.1007\/s00521-016-2196-9","article-title":"MAGDM based on triangular Atanassov\u2019s intuitionistic fuzzy information aggregation","volume":"28","author":"Wan","year":"2017","journal-title":"Neural Comput. Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/j.ejor.2017.05.022","article-title":"Additive consistent interval-valued Atanassov intuitionistic fuzzy preference relation and likelihood comparison algorithm based group decision making","volume":"263","author":"Wan","year":"2017","journal-title":"Eur. J. Oper. Res."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Wang, J., Wang, P., Wei, G.W., Wei, C., and Wu, J. (2019). Some power Heronian mean operators in multiple attribute decision-making based on q-rung orthopair hesitant fuzzy environment. J. Exp. Theor. Artif. Intell.","DOI":"10.3390\/math7040344"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"799","DOI":"10.15388\/Informatica.2019.230","article-title":"The Multi-Attributive Border Approximation Area Comparison (MABAC) for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment","volume":"30","author":"Wang","year":"2019","journal-title":"Informatica"},{"key":"ref_5","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_6","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 Sets Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"129","DOI":"10.3233\/IFS-151739","article-title":"New operational laws and aggregation method of intuitionistic fuzzy information","volume":"30","author":"Gou","year":"2016","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Li, M., and Wu, C. (2016). A Distance Model of Intuitionistic Fuzzy Cross Entropy to Solve Preference Problem on Alternatives. Math. Probl. Eng.","DOI":"10.1155\/2016\/8324124"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Khan, M.S., and Lohani, Q.M.D. (2016, January 12\u201313). A Similarity Measure For Atanassov Intuitionistic Fuzzy Sets and its Application to Clustering. Proceedings of the 2016 International Workshop on Computational Intelligence (IWCI), Dhaka, Bangladesh.","DOI":"10.1109\/IWCI.2016.7860372"},{"key":"ref_10","first-page":"96","article-title":"Grey Target Method for Intuitionistic Fuzzy Decision Making Based on Grey Incidence Analysis","volume":"28","author":"Li","year":"2016","journal-title":"J. Grey Syst."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1547","DOI":"10.2991\/ijcis.d.191203.002","article-title":"GRA method for probabilistic linguistic multiple attribute group decision making with incomplete weight information and its application to waste incineration plants location problem","volume":"12","author":"Lei","year":"2019","journal-title":"Int. J. Comput. Intell. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/j.ins.2016.05.044","article-title":"Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values","volume":"367","author":"Chen","year":"2016","journal-title":"Inf. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"4431","DOI":"10.3233\/JIFS-169209","article-title":"Modified intuitionistic fuzzy SIR approach with an application to supplier selection","volume":"32","author":"Gupta","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.3233\/JIFS-179236","article-title":"TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information","volume":"37","author":"Lu","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2001","DOI":"10.3233\/JIFS-179262","article-title":"VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment","volume":"37","author":"Wu","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Wu, L.P., Wei, G.W., Wu, J., and Wei, C. (2020). Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas. Int. J. Environ. Res. Public Health, 17.","DOI":"10.3390\/ijerph17030829"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"5693","DOI":"10.3233\/JIFS-181545","article-title":"Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators","volume":"36","author":"Wu","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_18","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":"Zavadskas","year":"2015","journal-title":"Informatica"},{"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":"Zavadskas","year":"2016","journal-title":"Int. J. Comput. Commun. Control"},{"key":"ref_20","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":"26","author":"Zhang","year":"2019","journal-title":"Technol. Econ. Dev. Econ."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"955","DOI":"10.3233\/JIFS-161548","article-title":"Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set","volume":"32","author":"Peng","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2470","DOI":"10.1007\/s40815-018-0504-5","article-title":"EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making","volume":"20","author":"Feng","year":"2018","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1361","DOI":"10.2991\/ijcis.d.191028.001","article-title":"EDAS method for multiple attribute group decision making with probabilistic uncertain linguistic information and its application to green supplier selection","volume":"12","author":"He","year":"2019","journal-title":"Int. J. Comput. Intell. Syst."},{"key":"ref_24","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":"Karasan","year":"2018","journal-title":"Soft Comput."},{"key":"ref_25","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_26","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_27","doi-asserted-by":"crossref","first-page":"1627","DOI":"10.3233\/JIFS-17184","article-title":"Stochastic EDAS method for multi-criteria decision-making with normally distributed data","volume":"33","author":"Amiri","year":"2017","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Zhang, S.Q., Gao, H., Wei, G.W., Wei, Y., and Wei, C. (2019). Evaluation Based on Distance from Average Solution Method for Multiple Criteria Group Decision Making under Picture 2-Tuple Linguistic Environment. Mathematics, 7.","DOI":"10.3390\/math7030243"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"141179","DOI":"10.1109\/ACCESS.2019.2943348","article-title":"Multi-Attribute Group Decision Making Method Based on EDAS Under Picture Fuzzy Environment","volume":"7","author":"Li","year":"2019","journal-title":"IEEE Access"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1080\/03081070600574353","article-title":"Some geometric aggregation operators based on intuitionistic fuzzy sets","volume":"35","author":"Xu","year":"2006","journal-title":"Int. J. Gen. Syst."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.ejor.2006.04.009","article-title":"Multi-criteria decision-making methods based on intuitionistic fuzzy sets","volume":"179","author":"Liu","year":"2007","journal-title":"Eur. J. Oper. Res."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1080\/0952813X.2019.1579258","article-title":"Some 2-tuple linguistic Pythagorean Heronian mean operators and their application to multiple attribute decision-making","volume":"31","author":"Deng","year":"2019","journal-title":"J. Exp. Theor. Artif. Intell."},{"key":"ref_33","first-page":"339","article-title":"Dual hesitant Pythagorean fuzzy Bonferroni mean operators in multi-attribute decision making","volume":"29","author":"Tang","year":"2019","journal-title":"Arch. Control Sci."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"166138","DOI":"10.1109\/ACCESS.2019.2953316","article-title":"An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project","volume":"7","author":"Wei","year":"2019","journal-title":"IEEE Access"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1769","DOI":"10.3233\/JIFS-179240","article-title":"TODIM method for multiple attribute decision making with 2-tuple linguistic Pythagorean fuzzy information","volume":"37","author":"Deng","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"5755","DOI":"10.3233\/JIFS-18266","article-title":"Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making","volume":"37","author":"Gao","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1781","DOI":"10.3233\/JIFS-179241","article-title":"Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications","volume":"37","author":"Li","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1707","DOI":"10.3233\/JIFS-179235","article-title":"Approaches to strategic supplier selection under interval neutrosophic environment","volume":"37","author":"Wang","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.3233\/JIFS-179237","article-title":"Research on the Application of the Financial Investment Risk Appraisal Models with Some Interval Number Muirhead Mean Operators","volume":"37","author":"Wang","year":"2019","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.ins.2019.03.018","article-title":"Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method","volume":"488","author":"Zeng","year":"2019","journal-title":"Inf. Sci."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"11401","DOI":"10.1016\/j.eswa.2011.03.012","article-title":"A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection","volume":"38","author":"Zhang","year":"2011","journal-title":"Expert Syst. Appl."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Zuo, C., Pal, A., and Dey, A. (2019). New Concepts of Picture Fuzzy Graphs with Application. Mathematics, 7.","DOI":"10.3390\/math7050470"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Huang, L.S., Hu, Y., Li, Y.X., Kumar, P.K.K., Koley, D., and Dey, A. (2019). A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications. Mathematics, 7.","DOI":"10.3390\/math7060551"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3963","DOI":"10.1007\/s00500-019-04166-1","article-title":"Fuzzy minimum spanning tree with interval type 2 fuzzy arc length: Formulation and a new genetic algorithm","volume":"24","author":"Dey","year":"2020","journal-title":"Soft Comput."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"255","DOI":"10.22452\/mjcs.vol31no4.2","article-title":"A genetic algorithm for solving fuzzy shortest path problems with interval type-2 fuzzy arc lengths","volume":"31","author":"Dey","year":"2018","journal-title":"Malays. J. Comput. Sci."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Liu, P.D., and Liu, X. (2017). Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators. Complexity.","DOI":"10.1155\/2017\/3571459"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1142\/S0218488518500290","article-title":"Some Interval-Valued Intuitionistic Fuzzy Zhenyuan Aggregation Operators and Their Application to Multi-Attribute Decision Making","volume":"26","author":"Mu","year":"2018","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Dey, A., Pradhan, R., Pal, A., and Pal, T. (2015). The fuzzy robust graph coloring problem. Proceedings of the 3rd International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2014, Springer.","DOI":"10.1007\/978-3-319-11933-5_91"},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Lu, J.P., He, T.T., Wei, G.W., Wu, J., and Wei, C. (2020). Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method. Int. J. Environ. Res. Public Health, 17.","DOI":"10.3390\/ijerph17061939"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/s41066-018-0084-7","article-title":"A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs","volume":"4","author":"Dey","year":"2019","journal-title":"Granul. Comput."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/3\/484\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:10:40Z","timestamp":1760173840000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/3\/484"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,23]]},"references-count":50,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,3]]}},"alternative-id":["sym12030484"],"URL":"https:\/\/doi.org\/10.3390\/sym12030484","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3,23]]}}}