{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:34Z","timestamp":1754157394534,"version":"3.41.2"},"reference-count":15,"publisher":"Emerald","issue":"3","license":[{"start":{"date-parts":[[2011,10,20]],"date-time":"2011-10-20T00:00:00Z","timestamp":1319068800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011,10,20]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to propose the optimal combination forecasting model based on closeness degree and induced ordered weighted harmonic averaging (IOWHA) operator under the uncertain environment in which the raw data are provided by interval numbers.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>Starting from maximizing the closeness degree of combination forecasting, which is different from minimizing absolute errors, weighted coefficient vectors of combination forecasting methods are obtained. The new concepts of closeness degree for the center and radius of interval numbers sequences are put forward and the optimal interval combination forecasting model is constructed by maximizing the sum of convex combination with closeness degree of interval center and closeness degree of interval radius. The solution to the model is discussed.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The results show that this model can improve the combination forecasting accuracy efficiently compared with that of each single forecasting method.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The method proposed in the paper can be used to forecast future tendency in a wide ranges of fields, such as engineering, economics and management. In particular, the raw data are provided in the form of interval numbers under the uncertain environment.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The combination forecasting model proposed in this paper is based on closeness degree and IOWHA operator, which is a new kind of combination forecasting model with variant weights.<\/jats:p><\/jats:sec>","DOI":"10.1108\/20439371111181251","type":"journal-article","created":{"date-parts":[[2011,11,12]],"date-time":"2011-11-12T07:06:27Z","timestamp":1321081587000},"page":"250-260","source":"Crossref","is-referenced-by-count":5,"title":["The optimal interval combination forecasting model based on closeness degree and IOWHA operator under the uncertain environment"],"prefix":"10.1108","volume":"1","author":[{"given":"Huayou","family":"Chen","sequence":"first","affiliation":[]},{"given":"Lei","family":"Jin","sequence":"additional","affiliation":[]},{"given":"Xiang","family":"Li","sequence":"additional","affiliation":[]},{"given":"Mengjie","family":"Yao","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"doi-asserted-by":"crossref","unstructured":"Bates, J.M. and Granger, C.W.J. (1969), \u201cCombination of forecasts\u201d, Operations Research Quarterly, Vol. 20, pp. 451\u201068.","key":"key2022021020162415000_b1","DOI":"10.1057\/jors.1969.103"},{"doi-asserted-by":"crossref","unstructured":"Calvo, T., Mayor, G. and Mesiar, R. (2002), Aggregation Operator: New Trends and Applications, Physica\u2010Verlag, New York, NY.","key":"key2022021020162415000_b6","DOI":"10.1007\/978-3-7908-1787-4"},{"unstructured":"Chen, H.Y. and Liu, C.L. (2003), \u201cResearch on combination forecasting model based on IOWA operator\u201d, Forecasting, Vol. 22, pp. 61\u20105.","key":"key2022021020162415000_b12"},{"unstructured":"Chen, H.Y., Liu, C.L. and Sheng, Z.H. (2006), \u201cInduced ordered weighted harmonic averaging (IOWHA) operator and its application to combination forecasting method\u201d, Chinese Journal of Management Sciences, Vol. 12, pp. 35\u201040.","key":"key2022021020162415000_b13"},{"unstructured":"Chen, H.Y., Sheng, Z.H. and Liu, C.L. (2004a), \u201cResearch on properties of combination forecasting model based on vectorial angle cosine\u201d, Journal of Management Sciences in China, Vol. 9, pp. 1\u20108.","key":"key2022021020162415000_b4"},{"unstructured":"Chen, H.Y., Zhao, J.B. and Liu, C.L. (2004b), \u201cProperties of combination forecasting model based on degree of grey incidence\u201d, Journal of Southeast University (Natural Science Edition), Vol. 34, pp. 130\u20104.","key":"key2022021020162415000_b3"},{"doi-asserted-by":"crossref","unstructured":"Merig\u00f3, J.M. and Gil\u2010Lafuente, A.M. (2009), \u201cThe induced generalized OWA operator\u201d, Information Science, Vol. 179, pp. 729\u201041.","key":"key2022021020162415000_b8","DOI":"10.1016\/j.ins.2008.11.013"},{"unstructured":"Moore, R.C. (1979), Method and Application of Interval Analysis, Prentice\u2010Hall, London.","key":"key2022021020162415000_b14"},{"unstructured":"Wang, X., Liu, X., Chen, H.Y. and Jiang, L.H. (2010), \u201cAn interval combination forecasting method based on IOWA operators\u201d, Journal of Wuhan University of Technology (Information & Management Engineering), Vol. 32, pp. 221\u20105.","key":"key2022021020162415000_b15"},{"unstructured":"Wang, Y.M. (2002), \u201cResearch on the methods of combining forecasts based on correlativity\u201d, Forecasting, Vol. 21, pp. 58\u201062.","key":"key2022021020162415000_b2"},{"unstructured":"Xu, Z.S. (2004), Uncertain Multiple Attribute Decision Making: Methods and Applications, Tsinghua University, Beijing.","key":"key2022021020162415000_b7"},{"doi-asserted-by":"crossref","unstructured":"Xu, Z.S. and Da, Q.L. (2002), \u201cThe ordered weighted geometric averaging operator\u201d, International Journal of Intelligent Systems, Vol. 17, pp. 709\u201016.","key":"key2022021020162415000_b11","DOI":"10.1002\/int.10045"},{"doi-asserted-by":"crossref","unstructured":"Yager, R.R. (1988), \u201cOn ordered weighted averaging aggregation operators in multicriteria decision making\u201d, IEEE Transactions on Systems, Man and Cybernetics, Vol. 18, pp. 183\u201090.","key":"key2022021020162415000_b5","DOI":"10.1109\/21.87068"},{"doi-asserted-by":"crossref","unstructured":"Yager, R.R. (1997), \u201cOn a semantics for neural networks based on fuzzy quantifiers\u201d, International Journal of Intelligent Systems, Vol. 7, pp. 765\u201086.","key":"key2022021020162415000_b10","DOI":"10.1002\/int.4550070805"},{"doi-asserted-by":"crossref","unstructured":"Yager, R.R. and Filev, D.P. (1995), \u201cGeneralizing the modeling of fuzzy logic controllers by parameterized aggregation operators\u201d, Fuzzy Sets and Systems, Vol. 70, pp. 303\u201013.","key":"key2022021020162415000_b9","DOI":"10.1016\/0165-0114(94)00224-U"}],"container-title":["Grey Systems: Theory and Application"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/20439371111181251","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111181251\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111181251\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:52:35Z","timestamp":1753401155000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/gs\/article\/1\/3\/250-260\/91782"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,20]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,10,20]]}},"alternative-id":["10.1108\/20439371111181251"],"URL":"https:\/\/doi.org\/10.1108\/20439371111181251","relation":{},"ISSN":["2043-9377"],"issn-type":[{"type":"print","value":"2043-9377"}],"subject":[],"published":{"date-parts":[[2011,10,20]]}}}