{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T02:13:39Z","timestamp":1669860819260},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,4,1]],"date-time":"2015-04-01T00:00:00Z","timestamp":1427846400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2017,4]]},"DOI":"10.1007\/s13042-015-0349-2","type":"journal-article","created":{"date-parts":[[2015,4,2]],"date-time":"2015-04-02T14:02:23Z","timestamp":1427983343000},"page":"547-569","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Some intuitionistic trapezoidal fuzzy aggregation operators based on Einstein operations and their application in multiple attribute group decision making"],"prefix":"10.1007","volume":"8","author":[{"given":"Shuping","family":"Zhao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changyong","family":"Liang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junling","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,4,1]]},"reference":[{"issue":"1","key":"349_CR1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87\u201396","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"349_CR2","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338\u2013353","journal-title":"Inf Control"},{"issue":"4","key":"349_CR3","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1080\/03081070600574353","volume":"35","author":"Z Xu","year":"2006","unstructured":"Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417\u2013433","journal-title":"Int J Gen Syst"},{"issue":"1","key":"349_CR4","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.ejor.2006.04.009","volume":"179","author":"H-W Liu","year":"2007","unstructured":"Liu H-W, Wang G-J (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179(1):220\u2013233","journal-title":"Eur J Oper Res"},{"issue":"6","key":"349_CR5","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1109\/TFUZZ.2006.890678","volume":"15","author":"Z Xu","year":"2007","unstructured":"Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179\u20131187","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"21","key":"349_CR6","doi-asserted-by":"crossref","first-page":"4207","DOI":"10.1016\/j.ins.2010.07.009","volume":"180","author":"T-Y Chen","year":"2010","unstructured":"Chen T-Y, Li C-H (2010) Determining objective weights with intuitionistic fuzzy entropy measures: a comparative analysis. Inf Sci 180(21):4207\u20134222","journal-title":"Inf Sci"},{"issue":"1","key":"349_CR7","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.eswa.2009.05.005","volume":"37","author":"C Tan","year":"2010","unstructured":"Tan C, Chen X (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149\u2013157","journal-title":"Expert Syst Appl"},{"issue":"2","key":"349_CR8","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/j.asoc.2009.08.009","volume":"10","author":"G Wei","year":"2010","unstructured":"Wei G (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10(2):423\u2013431","journal-title":"Appl Soft Comput"},{"issue":"5","key":"349_CR9","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1016\/j.ins.2009.11.011","volume":"180","author":"Z Xu","year":"2010","unstructured":"Xu Z (2010) Choquet integrals of weighted intuitionistic fuzzy information. Inf Sci 180(5):726\u2013736","journal-title":"Inf Sci"},{"issue":"4","key":"349_CR10","doi-asserted-by":"crossref","first-page":"3402","DOI":"10.1016\/j.asoc.2011.01.011","volume":"11","author":"D-F Li","year":"2011","unstructured":"Li D-F (2011) Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information. Appl Soft Comput 11(4):3402\u20133418","journal-title":"Appl Soft Comput"},{"issue":"4","key":"349_CR11","doi-asserted-by":"crossref","first-page":"3023","DOI":"10.1016\/j.eswa.2010.08.092","volume":"38","author":"C Tan","year":"2011","unstructured":"Tan C (2011) A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst Appl 38(4):3023\u20133033","journal-title":"Expert Syst Appl"},{"key":"349_CR12","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.ins.2011.11.029","volume":"189","author":"C-M Hwang","year":"2012","unstructured":"Hwang C-M, Yang M-S, Hung W-L, Lee M-G (2012) A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition. Inf Sci 189:93\u2013109","journal-title":"Inf Sci"},{"key":"349_CR13","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.ins.2011.11.021","volume":"188","author":"J Li","year":"2012","unstructured":"Li J, Deng G, Li H, Zeng W (2012) The relationship between similarity measure and entropy of intuitionistic fuzzy sets. Inf Sci 188:314\u2013321","journal-title":"Inf Sci"},{"issue":"1","key":"349_CR14","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.inffus.2010.12.001","volume":"13","author":"M Xia","year":"2012","unstructured":"Xia M, Xu Z (2012) Entropy\/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13(1):31\u201347","journal-title":"Inf Fusion"},{"issue":"3","key":"349_CR15","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1109\/TFUZZ.2011.2177466","volume":"20","author":"Z Xu","year":"2012","unstructured":"Xu Z (2012) Intuitionistic fuzzy multiattribute decision making: an interactive method. IEEE Trans Fuzzy Syst 20(3):514\u2013525","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"349_CR16","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.knosys.2012.10.006","volume":"39","author":"B Farhadinia","year":"2013","unstructured":"Farhadinia B (2013) A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure. Knowl Based Syst 39:79\u201384","journal-title":"Knowl Based Syst"},{"key":"349_CR17","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.knosys.2012.08.007","volume":"37","author":"F Meng","year":"2013","unstructured":"Meng F, Zhang Q, Cheng H (2013) Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized \u03bb-Shapley index. Knowl Based Syst 37:237\u2013249","journal-title":"Knowl Based Syst"},{"issue":"4","key":"349_CR18","doi-asserted-by":"crossref","first-page":"1823","DOI":"10.1016\/j.asoc.2012.12.019","volume":"13","author":"J-q Wang","year":"2013","unstructured":"Wang J-q, Nie R-r, Zhang H-y, Chen X-h (2013) Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning. Appl Soft Comput 13(4):1823\u20131831","journal-title":"Appl Soft Comput"},{"issue":"3","key":"349_CR19","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1109\/TFUZZ.2012.2210427","volume":"21","author":"J-Q Wang","year":"2013","unstructured":"Wang J-Q, Zhang H-Y (2013) Multicriteria decision-making approach based on Atanassov\u2019s intuitionistic fuzzy sets with incomplete certain information on weights. IEEE Trans Fuzzy Syst 21(3):510\u2013515","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"349_CR20","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/j.ins.2012.07.056","volume":"222","author":"J Wu","year":"2013","unstructured":"Wu J, Chen F, Nie C, Zhang Q (2013) Intuitionistic fuzzy-valued Choquet integral and its application in multicriteria decision making. Inf Sci 222:509\u2013527","journal-title":"Inf Sci"},{"issue":"3","key":"349_CR21","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/s13042-013-0178-0","volume":"5","author":"X Liang","year":"2014","unstructured":"Liang X, Wei C (2014) An Atanassov\u2019s intuitionistic fuzzy multi-attribute group decision making method based on entropy and similarity measure. Int J Mach Learn Cybern 5(3):435\u2013444","journal-title":"Int J Mach Learn Cybern"},{"issue":"6","key":"349_CR22","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/s13042-012-0147-z","volume":"4","author":"X Liang","year":"2013","unstructured":"Liang X, Wei C, Chen Z (2013) An intuitionistic fuzzy weighted OWA operator and its application. Int J Mach Learn Cybern 4(6):713\u2013719","journal-title":"Int J Mach Learn Cybern"},{"issue":"02","key":"349_CR23","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1142\/S0218488509005802","volume":"17","author":"G Wei","year":"2009","unstructured":"Wei G (2009) Some geometric aggregation functions and their application to dynamic multiple attribute decision making in the intuitionistic fuzzy setting. Int J Uncertain Fuzziness Knowl Based Syst 17(02):179\u2013196","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"issue":"3","key":"349_CR24","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","volume":"31","author":"K Atanassov","year":"1989","unstructured":"Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343\u2013349","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"349_CR25","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/0165-0114(94)90331-X","volume":"64","author":"KT Atanassov","year":"1994","unstructured":"Atanassov KT (1994) Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 64(2):159\u2013174","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"349_CR26","first-page":"321","volume":"20","author":"W Jianqiang","year":"2009","unstructured":"Jianqiang W, Zhong Z (2009) Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems. J Syst Eng Electron 20(2):321\u2013326","journal-title":"J Syst Eng Electron"},{"issue":"12","key":"349_CR27","doi-asserted-by":"crossref","first-page":"2139","DOI":"10.1016\/j.microrel.2006.01.007","volume":"46","author":"M-H Shu","year":"2006","unstructured":"Shu M-H, Cheng C-H, Chang J-R (2006) Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly. Microelectron Reliab 46(12):2139\u20132148","journal-title":"Microelectron Reliab"},{"issue":"2","key":"349_CR28","first-page":"226","volume":"24","author":"J Wang","year":"2009","unstructured":"Wang J, Zhang Z (2009) Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number. Control Decis 24(2):226\u2013230","journal-title":"Control Decis"},{"issue":"3","key":"349_CR29","first-page":"345","volume":"5","author":"G Wei","year":"2010","unstructured":"Wei G (2010) Some arithmetic aggregation operators with intuitionistic trapezoidal fuzzy numbers and their application to group decision making. J Comput 5(3):345\u2013351","journal-title":"J Comput"},{"issue":"5","key":"349_CR30","first-page":"773","volume":"25","author":"S-P Wan","year":"2010","unstructured":"Wan S-P, Dong J-Y (2010) Method of intuitionistic trapezoidal fuzzy number for multi-attribute group decision. Control Decis 25(5):773\u2013776","journal-title":"Control Decis"},{"issue":"1\u20132","key":"349_CR31","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1016\/j.apm.2012.03.001","volume":"37","author":"J Wu","year":"2013","unstructured":"Wu J, Cao Q-w (2013) Same families of geometric aggregation operators with intuitionistic trapezoidal fuzzy numbers. Appl Math Model 37(1\u20132):318\u2013327","journal-title":"Appl Math Model"},{"issue":"6","key":"349_CR32","doi-asserted-by":"crossref","first-page":"4112","DOI":"10.1016\/j.apm.2012.09.017","volume":"37","author":"S-p Wan","year":"2013","unstructured":"Wan S-p (2013) Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Appl Math Model 37(6):4112\u20134126","journal-title":"Appl Math Model"},{"issue":"1","key":"349_CR33","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.fss.2003.06.007","volume":"143","author":"EP Klement","year":"2004","unstructured":"Klement EP, Mesiar R, Pap E (2004) Triangular norms. Position paper I: basic analytical and algebraic properties. Fuzzy Sets Syst 143(1):5\u201326","journal-title":"Fuzzy Sets Syst"},{"issue":"11","key":"349_CR34","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1002\/int.20498","volume":"26","author":"W Wang","year":"2011","unstructured":"Wang W, Liu X (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049\u20131075","journal-title":"Int J Intell Syst"},{"issue":"5","key":"349_CR35","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1109\/TFUZZ.2012.2189405","volume":"20","author":"W Wang","year":"2012","unstructured":"Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using Einstein operations. IEEE Trans Fuzzy Syst 20(5):923\u2013938","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"349_CR36","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1016\/j.knosys.2012.09.006","volume":"37","author":"X Zhao","year":"2013","unstructured":"Zhao X, Wei G (2013) Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowl Based Syst 37:472\u2013479","journal-title":"Knowl Based Syst"},{"issue":"1","key":"349_CR37","doi-asserted-by":"crossref","first-page":"491","DOI":"10.3233\/IFS-130924","volume":"26","author":"S Zhang","year":"2014","unstructured":"Zhang S, Yu D (2014) Some geometric Choquet aggregation operators using Einstein operations under intuitionistic fuzzy environment. J Intell Fuzzy Syst 26(1):491\u2013500","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"349_CR38","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0165-0114(94)90084-1","volume":"67","author":"S-M Chen","year":"1994","unstructured":"Chen S-M, Tan J-M (1994) Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 67(2):163\u2013172","journal-title":"Fuzzy Sets Syst"},{"issue":"1","key":"349_CR39","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0165-0114(98)00271-1","volume":"114","author":"DH Hong","year":"2000","unstructured":"Hong DH, Choi C-H (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114(1):103\u2013113","journal-title":"Fuzzy Sets Syst"},{"issue":"32","key":"349_CR40","first-page":"1747","volume":"8","author":"J Wang","year":"2012","unstructured":"Wang J, NIE R (2012) Multi-criteria group decision-making method based on intuitionistic trapezoidal fuzzy information. Syst Eng Theory Pract 8(32):1747\u20131753","journal-title":"Syst Eng Theory Pract"},{"issue":"1","key":"349_CR41","first-page":"19","volume":"8","author":"G Deschrijver","year":"2002","unstructured":"Deschrijver G, Kerre EE (2002) A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms. Notes Intuit Fuzzy Sets 8(1):19\u201327","journal-title":"Notes Intuit Fuzzy Sets"},{"key":"349_CR42","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8741-9","volume-title":"Fuzzy set theory","author":"R Lowen","year":"1996","unstructured":"Lowen R (1996) Fuzzy set theory. Springer, New York"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0349-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-015-0349-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0349-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0349-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,31]],"date-time":"2020-08-31T10:17:14Z","timestamp":1598869034000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-015-0349-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,1]]},"references-count":42,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,4]]}},"alternative-id":["349"],"URL":"https:\/\/doi.org\/10.1007\/s13042-015-0349-2","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4,1]]}}}