{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T19:03:30Z","timestamp":1754161410973,"version":"3.41.2"},"reference-count":20,"publisher":"Emerald","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,8,3]]},"abstract":"<jats:sec>\n                  <jats:title>Purpose<\/jats:title>\n                  <jats:p>\u2013 The purpose of this paper is to utilize the proposed function transformation to make the original data series meet the properties of smooth ratio being lessen and stepwise ratio deviation being reduced, so that to improve the accuracy of grey forecasting model.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Design\/methodology\/approach<\/jats:title>\n                  <jats:p>\u2013 According to the characteristics of anti-cotangent functional graph variation, the theory of functional transformation and grey system modeling, the authors proposed a grey model based on the transformation of Aarc cot x+B function.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Findings<\/jats:title>\n                  <jats:p>\u2013 The calculated result of practical example shows that the proposed method is both valid on improving fitting effectiveness and forecasting accuracy.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Practical implications<\/jats:title>\n                  <jats:p>\u2013 The proposed method in this paper can effectively improve the accuracy of forecasting of high-growth original data series (derivative of data series is not only greater than 1 but also increasing).<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Originality\/value<\/jats:title>\n                  <jats:p>\u2013 The paper succeeds in providing an effective function transformation to make the smooth ratio and stepwise ratio deviation reduced significantly.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1108\/gs-09-2014-0031","type":"journal-article","created":{"date-parts":[[2015,7,16]],"date-time":"2015-07-16T09:52:27Z","timestamp":1437040347000},"page":"157-164","source":"Crossref","is-referenced-by-count":1,"title":["Grey modeling based on the transformation of <i>Aarc<\/i> cot <i>x<\/i>+<i>B<\/i> function"],"prefix":"10.1108","volume":"5","author":[{"given":"Jun","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Science,Inner Mongolia Agricultural University, Hohhot,China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mengfei","family":"Ran","sequence":"additional","affiliation":[{"name":"School of Science, Inner Mongolia Agricultural University, Hohhot, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guodong","family":"Han","sequence":"additional","affiliation":[{"name":"Ecology and Environmental Science Department, Inner Mongolia Agricultural University, Hohhot, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guiping","family":"Yao","sequence":"additional","affiliation":[{"name":"School of Science, Inner Mongolia Agricultural University, Hohhot, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"issue":"4","key":"2025072817581949200_b16","first-page":"27","article-title":"Study on transformation of a new class of data and its validity to improving the grey prediction accuracy","volume":"27","author":"","year":"2012","journal-title":"Statistics & Information Forum"},{"issue":"4","key":"2025072817581949200_b2","first-page":"50","article-title":"An expansion of grey prediction model","volume":"8","author":"","year":"1990","journal-title":"System Engineering"},{"key":"2025072817581949200_b13","unstructured":"Cui, L.Z.\n           and Liu, S.F. (2010), \u201cData transformation technique for grey forecasting model based on trigonometric function\u201d,                   Proceedings of the 19th National Conference on Grey Systems                , No. 4, pp. 225-229."},{"issue":"5","key":"2025072817581949200_b20","first-page":"104","article-title":"Grey forecasting model based on data transformation technology","volume":"28","author":"","year":"2010","journal-title":"Systems Engineering"},{"key":"2025072817581949200_b1","unstructured":"Deng, J.L.\n           (2002),                   Grey Prediction and Grey Decision                , Huazhong University of Science and Technology Press, Wuhan."},{"issue":"9","key":"2025072817581949200_b14","first-page":"89","article-title":"An approach to grey modeling based on cot(x\u03b1) transformation","volume":"26","author":"","year":"2008","journal-title":"Systems Engineering"},{"issue":"9","key":"2025072817581949200_b11","first-page":"138","article-title":"Research on methods of expending grey prediction model","volume":"22","author":"","year":"2002","journal-title":"Systems Engineering-Theory & Practice"},{"issue":"1","key":"2025072817581949200_b3","first-page":"64","article-title":"The further expansion of grey prediction model","volume":"13","author":"","year":"1993","journal-title":"Systems Engineering-Theory & Practice"},{"issue":"1","key":"2025072817581949200_b5","first-page":"96","article-title":"Widening of suitable limits of grey system GM(1, 1) model","volume":"19","author":"","year":"1999","journal-title":"Systems Engineering-Theory & Practice"},{"issue":"3","key":"2025072817581949200_b12","first-page":"110","article-title":"An approach of the grey modeling based on cotx transformation","volume":"23","author":"","year":"2005","journal-title":"Systems Engineering"},{"issue":"8","key":"2025072817581949200_b6","first-page":"92","article-title":"Research on the optimization of grey model GM(1, 1)","volume":"21","author":"","year":"2001","journal-title":"Systems Engineering-Theory & Practice"},{"issue":"No.12","key":"2025072817581949200_b15","first-page":"2879","article-title":"New type of data transformation and Its application in GM(1, 1) model","volume":"31","author":"","year":"2009","journal-title":"Systems Engineering and Electronics"},{"key":"2025072817581949200_b9","unstructured":"Wang, Q.P.\n           and Zhang, J. (2008), \u201cThe precision comparison of electricity consumption forecasting models based on different function transformations\u201d,                   Proceedings of the 16th National Conference on Grey Systems                , No. 4, pp. 347-375."},{"issue":"5","key":"2025072817581949200_b4","first-page":"9","article-title":"A discussion about modeling of grey systems","volume":"9","author":"","year":"1991","journal-title":"Systems Engineering Theory & Practice"},{"key":"2025072817581949200_b10","unstructured":"Zhang, J.\n           (2008),                   Improvement of Grey Forecasting Model and Its Applications                , Xi\u2019an University of Technology, Xi\u2019an."},{"issue":"2","key":"2025072817581949200_b7","first-page":"182","article-title":"Optimization grey forecasting model based on function transformation and its application","volume":"29","author":"","year":"2008","journal-title":"Journal of Qingdao University of Science and Technology (Natural Science Edition)"},{"issue":"3","key":"2025072817581949200_b8","first-page":"304","article-title":"Grey forecasting model based on composite function transformation and its application","volume":"32","author":"","year":"2011","journal-title":"Journal of Inner Mongolia Agricultural University (Natural Science Edition)"},{"issue":"10","key":"2025072817581949200_frd1","first-page":"119","article-title":"Inverse problem of multiple parameters identification for water quality model using evolutionary algorithm","volume":"23","author":"","year":"2003","journal-title":"Journal of Hydraulic Engineering"},{"key":"2025072817581949200_frd2","unstructured":"Wang, M.\n           (2005),                   MATLAB and Scientific Computing                , 2nd ed., Electronic Industry Press, Beijing."},{"key":"2025072817581949200_frd3","unstructured":"Wang, X.P.\n           and Cao, L.M. (2002),                   Genetic Algorithms                , Xi\u2019an Jiaotong University Press, Xi\u2019an."}],"container-title":["Grey Systems: Theory and Application"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/GS-09-2014-0031","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/GS-09-2014-0031\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/gs\/article-pdf\/5\/2\/157\/650722\/gs-09-2014-0031.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/www.emerald.com\/gs\/article-pdf\/5\/2\/157\/650722\/gs-09-2014-0031.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T21:58:21Z","timestamp":1753739901000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.emerald.com\/gs\/article\/5\/2\/157\/99608\/Grey-modeling-based-on-the-transformation-of-Aarc"}},"subtitle":[],"editor":[{"given":"Professor","family":"Delcea Camelia","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2015,8,3]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,8,3]]}},"URL":"https:\/\/doi.org\/10.1108\/gs-09-2014-0031","relation":{},"ISSN":["2043-9377","2043-9385"],"issn-type":[{"type":"print","value":"2043-9377"},{"type":"electronic","value":"2043-9385"}],"subject":[],"published":{"date-parts":[[2015,8,3]]}}}