{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T17:01:45Z","timestamp":1783789305889,"version":"3.55.0"},"reference-count":41,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T00:00:00Z","timestamp":1562112000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["91746116"],"award-info":[{"award-number":["91746116"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004001","name":"Science and Technology Foundation of Guizhou Province","doi-asserted-by":"publisher","award":["[2015]4011"],"award-info":[{"award-number":["[2015]4011"]}],"id":[{"id":"10.13039\/501100004001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004001","name":"Science and Technology Foundation of Guizhou Province","doi-asserted-by":"publisher","award":["[2016]5013"],"award-info":[{"award-number":["[2016]5013"]}],"id":[{"id":"10.13039\/501100004001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004001","name":"Science and Technology Foundation of Guizhou Province","doi-asserted-by":"publisher","award":["[2015]02"],"award-info":[{"award-number":["[2015]02"]}],"id":[{"id":"10.13039\/501100004001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004001","name":"Science and Technology Foundation of Guizhou Province","doi-asserted-by":"publisher","award":["[2019]3003"],"award-info":[{"award-number":["[2019]3003"]}],"id":[{"id":"10.13039\/501100004001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>With the improvement of human living standards, users\u2019 requirements have changed from function to emotion. Helping users pick out the most suitable product based on their subjective requirements is of great importance for enterprises. This paper proposes a Kansei engineering-based grey relational analysis and techniques for order preference by similarity to ideal solution (KE-GAR-TOPSIS) method to make a subjective user personalized ranking of alternative products. The KE-GRA-TOPSIS method integrates five methods, including Kansei Engineering (KE), analytic hierarchy process (AHP), entropy, game theory, and grey relational analysis-TOPSIS (GRA-TOPSIS). First, an evaluation system is established by KE and AHP. Second, we define a matrix variate\u2014Kansei decision matrix (KDM)\u2014to describe the satisfaction of user requirements. Third, the AHP is used to obtain subjective weight. Next, the entropy method is employed to obtain objective weights by taking the KDM as input. Then the two types of weights are optimized using game theory to obtain the comprehensive weights. Finally, the GRA-TOPSIS method takes the comprehensive weights and the KMD as inputs to rank alternatives. A comparison of the KE-GRA-TOPSIS, KE-TOPSIS, KE-GRA, GRA-TOPSIS, and TOPSIS is conducted to illustrate the unique merits of the KE-GRA-TOPSIS method in Kansei evaluation. Finally, taking the electric drill as an example, we describe the process of the proposed method in detail, which achieves a symmetry between the objectivity of products and subjectivity of users.<\/jats:p>","DOI":"10.3390\/sym11070867","type":"journal-article","created":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T11:14:49Z","timestamp":1562152489000},"page":"867","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":57,"title":["Personalized Product Evaluation Based on GRA-TOPSIS and Kansei Engineering"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1380-4203","authenticated-orcid":false,"given":"Huafeng","family":"Quan","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4759-6000","authenticated-orcid":false,"given":"Shaobo","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Guizhou University, Guiyang 550025, China"},{"name":"Key Laboratory of Advanced Manfacturing Technology of the Ministry of Education, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongjing","family":"Wei","sequence":"additional","affiliation":[{"name":"Key Laboratory of Advanced Manfacturing Technology of the Ministry of Education, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jianjun","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Guizhou University, Guiyang 550025, China"},{"name":"Department of Computer Science and Engineering, University of South Carolina, Columbia, SC 29208, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1111\/jpim.12180","article-title":"The form of relationship between firm-level product innovativeness and new product performance in developed and emerging markets","volume":"32","author":"Story","year":"2015","journal-title":"J. Prod. Innov. Manag."},{"key":"ref_2","first-page":"4","article-title":"Economic aspects of decision making in production processes with uncertain component quality","volume":"30","year":"2019","journal-title":"Eng. Econ."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.ijinfomgt.2011.09.001","article-title":"Satisfaction and post-purchase intentions with service recovery of online shopping websites: Perspectives on perceived justice and emotions","volume":"32","author":"Kuo","year":"2012","journal-title":"Int. J. Inf. Manag."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Lin, C.-T., Chen, C.-W., Wang, S.-J., and Lin, C.-C. (2018). The influence of impulse buying toward consumer loyalty in online shopping: A regulatory focus theory perspective. J. Ambient Intell. Humaniz. Comput.","DOI":"10.1007\/s12652-018-0935-8"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.aei.2015.11.001","article-title":"A Kansei evaluation approach based on the technique of computing with words","volume":"30","author":"Chou","year":"2016","journal-title":"Adv. Eng. Inform."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0169-8141(94)00052-5","article-title":"Kansei engineering: A new ergonomic consumer-oriented technology for product development","volume":"15","author":"Nagamachi","year":"1995","journal-title":"Int. J. Ind. Erg."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1007\/978-3-642-48318-9_3","article-title":"Methods for multiple attribute decision making","volume":"Volume 186","author":"Hwang","year":"1981","journal-title":"Multiple Attribute Decision Making"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Lei, J., Chang, W., Zhou, S., Li, X., and Wei, F. (2018, January 22\u201325). Study on the Quality Evaluation Model of Diesel Engine with ANP and TOPSIS Method. Proceedings of the 2018 Annual Reliability and Maintainability Symposium (RAMS), Reno, NV, USA.","DOI":"10.1109\/RAM.2018.8463131"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1007\/s10489-007-0086-7","article-title":"Classification performance evaluation of single-layer perceptron with Choquet integral-based TOPSIS","volume":"29","author":"Hu","year":"2008","journal-title":"Appl. Intell."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s10845-014-0973-9","article-title":"The use of improved TOPSIS method based on experimental design and Chebyshev regression in solving MCDM problems","volume":"28","author":"Wang","year":"2017","journal-title":"J. Intell. Manuf."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1007\/s10726-010-9219-1","article-title":"Fuzzy group decision making for the selection of facility location","volume":"20","year":"2011","journal-title":"Group Decis. Negot."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1016\/j.eswa.2007.08.064","article-title":"Dynamic multi-attribute decision making model with grey number evaluations","volume":"35","author":"Lin","year":"2008","journal-title":"Expert Syst. Appl."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.knosys.2014.02.010","article-title":"A decision model for information technology selection using AHP integrated TOPSIS-Grey: The case of content management systems","volume":"70","author":"Oztaysi","year":"2014","journal-title":"Knowl. Based Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1007\/s10726-012-9299-1","article-title":"TOPSIS based approach to scoring negotiating offers in negotiation support systems","volume":"22","author":"Wachowicz","year":"2013","journal-title":"Group Decis. Negot."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1080\/01430750.2013.789984","article-title":"Multi-criteria decision modelling approach for biodiesel blend selection based on GRA\u2013TOPSIS analysis","volume":"35","author":"Sakthivel","year":"2014","journal-title":"Int. J. Ambient Energy"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/j.renene.2014.10.045","article-title":"Fuzzy TOPSIS method for ranking renewable energy supply systems in Turkey","volume":"75","author":"Eren","year":"2015","journal-title":"Renew. Energy"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1473","DOI":"10.1016\/j.mcm.2005.01.006","article-title":"Combining grey relation and TOPSIS concepts for selecting an expatriate host country","volume":"40","author":"Chen","year":"2004","journal-title":"Math. Comput. Model."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.ajsl.2017.12.004","article-title":"Application of Fuzzy Delphi TOPSIS to locate logistics centers in Vietnam: The Logisticians\u2019 perspective","volume":"33","author":"Pham","year":"2017","journal-title":"Asian J. Shipp. Logist."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1007\/s00521-016-2533-z","article-title":"Supplier selection using fuzzy AHP and TOPSIS: A case study in the Indian automotive industry","volume":"29","author":"Jain","year":"2018","journal-title":"Neural Comput. Appl."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"7399","DOI":"10.1007\/s00500-018-3092-2","article-title":"An extended stepwise weight assessment ratio analysis (SWARA) method for improving criteria prioritization process","volume":"22","author":"Zolfani","year":"2018","journal-title":"Soft Comput."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1142\/S0219622011004713","article-title":"A new determining method for the criteria weights in multicriteria evaluation","volume":"10","year":"2011","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.omega.2014.11.009","article-title":"Best-worst multi-criteria decision-making method","volume":"53","author":"Rezaei","year":"2015","journal-title":"Omega"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1142\/S0219622014500825","article-title":"New KEMIRA method for determining criteria priority and weights in solving MCDM problem","volume":"13","author":"Krylovas","year":"2014","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.jclepro.2018.09.235","article-title":"Performance evaluation of green suppliers using entropy-TOPSIS-F","volume":"207","author":"Godoy","year":"2019","journal-title":"J. Clean. Prod."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"730","DOI":"10.1016\/j.jclepro.2018.12.329","article-title":"Multi-attribute decision making on reverse logistics based on DEA-TOPSIS: A study of the Shanghai End-of-life vehicles industry","volume":"214","author":"Wang","year":"2019","journal-title":"J. Clean. Prod."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1016\/j.eswa.2015.11.003","article-title":"On the effect of subjective, objective and combinative weighting in multiple criteria decision making: A case study on impact optimization of composites","volume":"46","author":"Milani","year":"2016","journal-title":"Expert Syst. Appl."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Wu, D., Wang, N., Yang, Z., Li, C., and Yang, Y. (2018). Comprehensive Evaluation of Coal-Fired Power Units Using Grey Relational Analysis and a Hybrid Entropy-Based Weighting Method. Entropy, 20.","DOI":"10.3390\/e20040215"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Sun, L., Liu, Y., Zhang, B., Shang, Y., Yuan, H., and Ma, Z. (2016). An integrated decision-making model for transformer condition assessment using game theory and modified evidence combination extended by D numbers. Energies, 9.","DOI":"10.3390\/en9090697"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2348","DOI":"10.1109\/TC.2015.2389952","article-title":"Smart cloud storage service selection based on fuzzy logic, theory of evidence and game theory","volume":"65","author":"Esposito","year":"2016","journal-title":"IEEE Trans. Comput."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1007\/s40815-017-0400-4","article-title":"Evidential supplier selection based on DEMATEL and game theory","volume":"20","author":"Liu","year":"2018","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/s10479-014-1775-3","article-title":"Selection of optimum maintenance strategy based on FAHP integrated with GRA\u2013TOPSIS","volume":"245","author":"Kirubakaran","year":"2016","journal-title":"Ann. Oper. Res."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1007\/s11069-015-1645-6","article-title":"A fuzzy comprehensive evaluation model for flood risk based on the combination weight of game theory","volume":"77","author":"Lai","year":"2015","journal-title":"Nat. Hazards"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Tang, J., Zhu, H.-L., Liu, Z., Jia, F., and Zheng, X.-X. (2019). Urban sustainability evaluation under the modified TOPSIS based on grey relational analysis. Int. J. Environ. Res. Public Health, 16.","DOI":"10.3390\/ijerph16020256"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Quan, H., Li, S., and Hu, J. (2018). Product Innovation Design Based on Deep Learning and Kansei Engineering. Appl. Sci., 8.","DOI":"10.3390\/app8122397"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1037\/h0043965","article-title":"Factor analysis of meaning","volume":"50","author":"Osgood","year":"1955","journal-title":"J. Exp. Psychol."},{"key":"ref_36","unstructured":"Osgood, C.E., Suci, G.J., and Tannenbaum, P.H. (1957). The Measurement of Meaning, University of Illinois Press."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0270-0255(87)90473-8","article-title":"The analytic hierarchy process\u2014What it is and how it is used","volume":"9","author":"Saaty","year":"1987","journal-title":"Math. Model."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/0377-2217(90)90057-I","article-title":"How to make a decision: The analytic hierarchy process","volume":"48","author":"Saaty","year":"1990","journal-title":"Eur. J. Oper. Res."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_40","first-page":"87","article-title":"The multiple criteria evaluation of grey relation model","volume":"6","author":"Tzeng","year":"1994","journal-title":"J. Grey Syst."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1539","DOI":"10.1016\/j.matdes.2006.02.016","article-title":"Multi-criteria material selections and end-of-life product strategy: Grey relational analysis approach","volume":"28","author":"Chan","year":"2007","journal-title":"Mater. Des."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/7\/867\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:02:06Z","timestamp":1760187726000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/7\/867"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,3]]},"references-count":41,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2019,7]]}},"alternative-id":["sym11070867"],"URL":"https:\/\/doi.org\/10.3390\/sym11070867","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,3]]}}}