{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:42:16Z","timestamp":1777704136051,"version":"3.51.4"},"reference-count":45,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T00:00:00Z","timestamp":1586822400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,10,7]]},"abstract":"<jats:p>Quality function deployment (QFD) is an useful tool to solve Multi-criteria decision making, which can translate customer requirements (CRs) into the technical attributes (TAs) of a product and helps maintain a correct focus on true requirements and minimizes misinterpreting customer needs. In applying quality function deployment, rating technical attributes from input variables is a crucial step in fuzzy environments. In this paper, a new approach is developed, which rates technical attributes by objective penalty function and fuzzy technique for order preference by similarity to an ideal solution (TOPSIS) based on weighted Hamming distance under the case of uncertain preference characteristics of decision makers in fuzzy quality function deployment. A pair of nonlinear programming models with constraints and a relevant pair of nonlinear programming models with unconstraints called objective penalty function models are proposed to gain the fuzzy important numbers of technical attributes. Then, this paper compares the fuzzy numbers by fuzzy technique for order preference by similarity to an ideal solution (TOPSIS) method based on weighted Hamming distance in consideration of the uncertain preference characteristics of decision makers. To end with, the developed method is examined with the numerical examples.<\/jats:p>","DOI":"10.3233\/jifs-191955","type":"journal-article","created":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T13:32:54Z","timestamp":1586871174000},"page":"3665-3679","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Rating TAs in fuzzy QFD by objective penalty function and fuzzy TOPSIS based on weighted Hamming distance"],"prefix":"10.1177","volume":"39","author":[{"given":"Jing","family":"Wang","sequence":"first","affiliation":[{"name":"School of Management, Shanghai University, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Urban Railway Transportation, Shanghai University of Engineering Science, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guohao","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Management, Shanghai University, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liying","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Management, Shanghai University, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,4,14]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"KeeneyR. and RaiffaH. Decision with multiple objective: preference and value tradeoffs. Wiley New Work 1976."},{"key":"e_1_3_2_3_2","doi-asserted-by":"crossref","unstructured":"HwangC.L. and YoonK. Multiple attribute decision making: methods and applications. Springer New York 1981.","DOI":"10.1007\/978-3-642-48318-9_3"},{"key":"e_1_3_2_4_2","doi-asserted-by":"crossref","unstructured":"ChenS.J. and HwangC.L. Fuzzy multiple attribute decision making: methods and applications. Springer New York 1992.","DOI":"10.1007\/978-3-642-46768-4_5"},{"key":"e_1_3_2_5_2","unstructured":"AkaoY. Quality function deployment: Integrating customer requirements into product design Productivity Cambridge MA 1990."},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(02)00178-9"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-016-9540-1"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2017.11.012"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2014.10.003"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compind.2015.08.005"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/23249935.2015.1117535"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.tra.2018.12.004"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(01)00041-7"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_15_2","unstructured":"HauserJ.R. and ClausingD. The house of quality Harvard Business Review May\u2013June 63\u201373 1988."},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.554449"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2005.11.006"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11135-007-9151-x"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1475-3995.2004.00459.x"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11135-006-9058-y"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0926-5805(03)00002-5"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1080\/07408170304355"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-013-0169-1"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1080\/002075498193912"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.02.024"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-120677"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2014.917213"},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2018.08.017"},{"key":"e_1_3_2_29_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207549608904904"},{"key":"e_1_3_2_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2005.11.006"},{"key":"e_1_3_2_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2014.03.008"},{"key":"e_1_3_2_32_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12008-018-00523-w"},{"key":"e_1_3_2_33_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207540010005079"},{"key":"e_1_3_2_34_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2002.800692"},{"key":"e_1_3_2_35_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2004.12.026"},{"key":"e_1_3_2_36_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(78)90029-5"},{"key":"e_1_3_2_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)00137-2"},{"key":"e_1_3_2_38_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.10.005"},{"key":"e_1_3_2_39_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(04)90105-X"},{"key":"e_1_3_2_40_2","unstructured":"KongF. Theory method and application of fuzzy multi-attribute decision making Chinese Agricultural Science and Technology Press 2008."},{"key":"e_1_3_2_41_2","first-page":"334","article-title":"Nonlinear programming via penalty function","volume":"13","author":"Zangwill W.I.","year":"1967","unstructured":"ZangwillW.I., Nonlinear programming via penalty function, Manangement Science 13 (1967), 334\u2013358.","journal-title":"Manangement Science"},{"key":"e_1_3_2_42_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-009-0138-5"},{"key":"e_1_3_2_43_2","first-page":"887","article-title":"Comparision of Fuzzy numbers based on the probability measure of fuzzy events","volume":"15","author":"Li R.J.","year":"1987","unstructured":"LiR.J. and LeeE.S., Comparision of Fuzzy numbers based on the probability measure of fuzzy events, Computers and Mathematics with Applications 15 (1987), 887\u2013896.","journal-title":"Computers and Mathematics with Applications"},{"key":"e_1_3_2_44_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(90)90189-D"},{"key":"e_1_3_2_45_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00377-1"},{"key":"e_1_3_2_46_2","unstructured":"LiR.J. Theory and application of fuzzy multiple attribute decision making Beijing Science Press 2002."}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-191955","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-191955","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-191955","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:32Z","timestamp":1777455632000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-191955"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,14]]},"references-count":45,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,10,7]]}},"alternative-id":["10.3233\/JIFS-191955"],"URL":"https:\/\/doi.org\/10.3233\/jifs-191955","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,14]]}}}