{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T04:37:59Z","timestamp":1778733479057,"version":"3.51.4"},"reference-count":11,"publisher":"Emerald","issue":"2","license":[{"start":{"date-parts":[[2011,8,19]],"date-time":"2011-08-19T00:00:00Z","timestamp":1313712000000},"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":[[2011,8,19]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to perfect the axiom systems of buffer operator via adding the axiom of invariable trend.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>Based on the three axioms of buffer operator, for any given data sequence of system behavior and any set of data satisfying the axiom of fixed point, it is proved that there always exists a buffer operator satisfying that the set of data is the buffer sequence of the given data sequence, and a specific constructor method of buffer operator is provided. Finally, the axiom of invariable trend is proposed to add in the axiom systems of buffer operator.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The results are convincing that although the raw sequence suffered from certain disturbance may be enlarged or reduced, the trend is in line with the original law. All predictions must be on the premise of this trend to forecast, or prediction will be considered invalid.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The method exposed in the paper can be used to construct a specific buffer operator between two sequences satisfying the axiom of fixed point.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper succeeds in providing a kind of universal constructor method for buffer operator, and adding the axiom of invariable trend to perfect the axiom systems of buffer operator and ensure the consistency of variation trend between the predicted values and the actual values.<\/jats:p><\/jats:sec>","DOI":"10.1108\/20439371111163783","type":"journal-article","created":{"date-parts":[[2011,8,27]],"date-time":"2011-08-27T07:23:41Z","timestamp":1314429821000},"page":"178-185","source":"Crossref","is-referenced-by-count":14,"title":["A kind of universal constructor method for buffer operators"],"prefix":"10.1108","volume":"1","author":[{"given":"Yong","family":"Wei","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin\u2010hai","family":"Kong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Da\u2010hong","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022031019570907700_b7","unstructured":"Dang, Y.G., Liu, B. and Guan, Y.Q. 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(1991), \u201cThe three axioms of buffer operator and their application\u201d, The Journal of Grey System, Vol. 3 No. 1, pp. 39\u201048."},{"key":"key2022031019570907700_b2","unstructured":"Liu, S.F. (1997), \u201cThe trap in the prediction of a shock disturbed system and the buffer operator\u201d, Journal of Huazhong University of Science and Technology, Vol. 25 No. 1, pp. 25\u20107."},{"key":"key2022031019570907700_b3","unstructured":"Liu, S.F. and Lin, Y. (1998), An Introduction to Grey Systems: Foundations, Methodology and Applications, IIGSS Academic Publisher, Slippery Rock, PA."},{"key":"key2022031019570907700_b4","unstructured":"Liu, S.F., Dang, Y.G. and Fang, Z.G. (2004), Grey System Theory and Its Application, Science Press, Beijing, pp. 26\u201038."},{"key":"key2022031019570907700_b11","unstructured":"Wang, Z.X., Dang, Y.G. and Liu, S.F. (2009), \u201cStudy on buffer operators with variable weights and their effect strength to original sequence\u201d, Control and Decision, Vol. 24 No. 8, pp. 1218\u201022."},{"key":"key2022031019570907700_b6","unstructured":"Xie, N.M. (2005), \u201cResearch on sequence operators and grey model of prediction\u201d, Master's degree thesis, Nanjing University of Aeronautics and Astronautics, Nanjing, pp. 14\u201028."},{"key":"key2022031019570907700_b8","unstructured":"Xie, N.M. and Liu, S.F. (2006), \u201cThe nature of the strengthening buffer operators and structuring some practical strengthening operators\u201d, Statistics and Decision, No. 4, pp. 9\u201010."}],"container-title":["Grey Systems: Theory and Application"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/20439371111163783","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111163783\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/20439371111163783\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:52:34Z","timestamp":1753401154000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/gs\/article\/1\/2\/178-185\/97778"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8,19]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,8,19]]}},"alternative-id":["10.1108\/20439371111163783"],"URL":"https:\/\/doi.org\/10.1108\/20439371111163783","relation":{},"ISSN":["2043-9377"],"issn-type":[{"value":"2043-9377","type":"print"}],"subject":[],"published":{"date-parts":[[2011,8,19]]}}}