{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T17:57:55Z","timestamp":1765994275719},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,6,18]],"date-time":"2015-06-18T00:00:00Z","timestamp":1434585600000},"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":[[2018,2]]},"DOI":"10.1007\/s13042-015-0385-y","type":"journal-article","created":{"date-parts":[[2015,6,17]],"date-time":"2015-06-17T14:35:28Z","timestamp":1434551728000},"page":"281-293","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":46,"title":["Multiple attribute decision making method based on normal neutrosophic generalized weighted power averaging operator"],"prefix":"10.1007","volume":"9","author":[{"given":"Peide","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fei","family":"Teng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,6,18]]},"reference":[{"key":"385_CR1","volume-title":"Introduction to operations research","author":"CW Churchman","year":"1957","unstructured":"Churchman CW, Ackoff RL, Arnoff EL (1957) Introduction to operations research. Wiley, New York"},{"key":"385_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 8:338\u2013356","journal-title":"Inf Control"},{"key":"385_CR3","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 20:87\u201396","journal-title":"Fuzzy Sets Syst"},{"key":"385_CR4","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","volume":"3","author":"KT Atanassov","year":"1989","unstructured":"Atanassov KT, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 3:343\u2013349","journal-title":"Fuzzy Sets Syst"},{"key":"385_CR5","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 64:159\u2013174","journal-title":"Fuzzy Sets Syst"},{"key":"385_CR6","doi-asserted-by":"crossref","first-page":"280","DOI":"10.3846\/tede.2010.18","volume":"16","author":"X Zhang","year":"2010","unstructured":"Zhang X, Liu PD (2010) Method for aggregating triangular intuitionistic fuzzy information and its application to decision making. Technol Econ Dev Econ 16:280\u2013290","journal-title":"Technol Econ Dev Econ"},{"key":"385_CR7","first-page":"601","volume":"23","author":"JQ Wang","year":"2008","unstructured":"Wang JQ (2008) Overview on fuzzy multi-criteria decision-making approach. Control Decis 23:601\u2013606","journal-title":"Control Decis"},{"key":"385_CR8","volume-title":"A unifying field in logics neutrosophy: neutrosophic probability, set and logic","author":"F Smarandache","year":"1999","unstructured":"Smarandache F (1999) A unifying field in logics neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth"},{"key":"385_CR9","volume-title":"Interval neutrosophic sets and logic: theory and applications in computing","author":"H Wang","year":"2005","unstructured":"Wang H, Smarandache F, Zhang YQ et al (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix, AZ"},{"key":"385_CR10","doi-asserted-by":"crossref","first-page":"165","DOI":"10.3233\/IFS-120724","volume":"26","author":"J Ye","year":"2014","unstructured":"Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Intell Fuzzy Syst 26:165\u2013172","journal-title":"J Intell Fuzzy Syst"},{"key":"385_CR11","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0165-0114(95)00308-8","volume":"84","author":"MS Yang","year":"1996","unstructured":"Yang MS (1996) Ko. CH, On a class of fuzzy c-numbers clustering procedures for fuzzy data. Fuzzy Sets Syst 84:49\u201360","journal-title":"Fuzzy Sets Syst"},{"issue":"1571\u20131574","key":"385_CR12","first-page":"1584","volume":"25","author":"JQ Wang","year":"2010","unstructured":"Wang JQ, Li HB (2010) Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers. Control Decis 25(1571\u20131574):1584","journal-title":"Control Decis"},{"issue":"6","key":"385_CR13","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1109\/3468.983429","volume":"31","author":"RR Yager","year":"2001","unstructured":"Yager RR (2001) The power average operator. IEEE transactions on systems man and cybernetics part A-Systems and humans 31(6):724\u2013731","journal-title":"IEEE transactions on systems man and cybernetics part A-Systems and humans"},{"issue":"5","key":"385_CR14","doi-asserted-by":"crossref","first-page":"3988","DOI":"10.1016\/j.asoc.2011.02.027","volume":"11","author":"YJ Xu","year":"2011","unstructured":"Xu YJ, Wang HM (2011) Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment. Appl Soft Comput 11(5):3988\u20133997","journal-title":"Appl Soft Comput"},{"issue":"1","key":"385_CR15","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1109\/TFUZZ.2009.2036907","volume":"18","author":"ZS Xu","year":"2010","unstructured":"Xu ZS, Yager RR (2010) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94\u2013105","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"385_CR16","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1016\/j.cie.2011.12.025","volume":"62","author":"LG Zhou","year":"2012","unstructured":"Zhou LG, Chen HY, Liu JP (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62(4):989\u2013999","journal-title":"Comput Ind Eng"},{"key":"385_CR17","doi-asserted-by":"crossref","first-page":"567","DOI":"10.3233\/IFS-120662","volume":"25","author":"JQ Wang","year":"2013","unstructured":"Wang JQ, Li KJ, Zhang HY, Chen XH (2013) A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making. J Intell Fuzzy Syst 25:567\u2013576","journal-title":"J Intell Fuzzy Syst"},{"key":"385_CR18","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1142\/S0218488512500262","volume":"20","author":"JQ Wang","year":"2012","unstructured":"Wang JQ, Li KJ (2012) Multi-criteria decision-making method based on induced intuitionistic normal fuzzy related aggregation operators. Int J Uncertain Fuzziness Knowl Based Syst 20:559\u2013578","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"385_CR19","first-page":"1501","volume":"33","author":"JQ Wang","year":"2013","unstructured":"Wang JQ, Li KJ (2013) Multi-criteria decision-making method based on intuitionistic normal fuzzy aggregation operators. Syst Eng Theory Pract 33:1501\u20131508","journal-title":"Syst Eng Theory Pract"},{"key":"385_CR20","unstructured":"Holder O (1889) Uber einen Mittelwertsatz. Gottingen Nachrichten, pp 38\u201347"},{"key":"385_CR21","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF02418571","volume":"30","author":"JL Jensen","year":"1906","unstructured":"Jensen JL (1906) Sriurles fonctions convexesetles inegualites entre les valeurs moyennes. Acta Math 30:175\u2013193","journal-title":"Acta Math"},{"key":"385_CR22","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1007\/s11750-014-0314-3","volume":"22","author":"JQ Wang","year":"2014","unstructured":"Wang JQ, Zhou P, Li KJ, Zhang HY, Chen XH (2014) Multi-criteria decision-making method based on normal intuitionistic fuzzy induced generalized aggregation operator. TOP 22:1103\u20131122","journal-title":"TOP"},{"key":"385_CR23","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1016\/j.amc.2013.12.133","volume":"230","author":"PD Liu","year":"2014","unstructured":"Liu PD, Liu ZM, Zhang X (2014) Some intuitionistic uncertain linguistic heronian mean operators and their application to group decision making. Appl Math Comput 230:570\u2013586","journal-title":"Appl Math Comput"},{"issue":"1","key":"385_CR24","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.jcss.2012.07.001","volume":"79","author":"PD Liu","year":"2013","unstructured":"Liu PD (2013) Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making. J Comput Syst Sci 79(1):131\u2013143","journal-title":"J Comput Syst Sci"},{"key":"385_CR25","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.ins.2012.04.014","volume":"205","author":"PD Liu","year":"2012","unstructured":"Liu PD, Jin F (2012) Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making. Inf Sci 205:58\u201371","journal-title":"Inf Sci"},{"issue":"5","key":"385_CR26","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1080\/01969722.2014.929348","volume":"45","author":"PD Liu","year":"2014","unstructured":"Liu PD, Chen YB, Chu YC (2014) Intuitionistic uncertain linguistic weighted bonferroni OWA operator and its application to multiple attribute decision making. Cybern Syst 45(5):418\u2013438","journal-title":"Cybern Syst"},{"issue":"1","key":"385_CR27","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1109\/TFUZZ.2013.2248736","volume":"22","author":"PD Liu","year":"2014","unstructured":"Liu PD (2014) Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making. IEEE Trans Fuzzy Syst 22(1):83\u201397","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"385_CR28","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.asoc.2013.12.010","volume":"17","author":"PD Liu","year":"2014","unstructured":"Liu PD, Wang YM (2014) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17:90\u2013104","journal-title":"Appl Soft Comput"},{"issue":"2","key":"385_CR29","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1080\/18756891.2013.862357","volume":"7","author":"PD Liu","year":"2014","unstructured":"Liu PD, Liu Y (2014) An approach to multiple attribute group decision making based on intuitionistic trapezoidal fuzzy power generalized aggregation operator. Int J Comput Intell Syst 7(2):291\u2013304","journal-title":"Int J Comput Intell Syst"},{"issue":"3","key":"385_CR30","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 CP (2014) An Atanassov\u2019s intuitionistic fuzzy multi-attribute group decision making method based on entropy and similarity measure. Int J Mach Learning Cybern 5(3):435\u2013444","journal-title":"Int J Mach Learning Cybern"},{"key":"385_CR31","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-015-0356-3","author":"ZL Ren","year":"2015","unstructured":"Ren ZL, Wei CP (2015) A multi-attribute decision-making method with prioritization relationship and dual hesitant fuzzy decision information. Int J Mach Learn Cybernet. doi: 10.1007\/s13042-015-0356-3","journal-title":"Int J Mach Learn Cybernet"},{"key":"385_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-015-0352-7","author":"CY Liang","year":"2015","unstructured":"Liang CY, Zhao SP, Zhang JL (2015) Multi-criteria group decision making method based on generalized intuitionistic trapezoidal fuzzy prioritized aggregation operators. Int J Mach Learn Cybern. doi: 10.1007\/s13042-015-0352-7","journal-title":"Int J Mach Learn Cybern"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0385-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-015-0385-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0385-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0385-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,11]],"date-time":"2023-08-11T14:46:09Z","timestamp":1691765169000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-015-0385-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,18]]},"references-count":32,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,2]]}},"alternative-id":["385"],"URL":"https:\/\/doi.org\/10.1007\/s13042-015-0385-y","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,18]]}}}