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Grey number algorithms are key points for constructing grey system models and helping to calculate model results. The concept of grey number is redefined with information background in this paper. Novel grey number algorithms are defined considering all the different forms of grey number information background. Several illustrative examples are applied to state the process of the proposed algorithms.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The results show that the novel grey number algorithms can do the operations well no matter what the grey number's type. It is useful to create effective grey system models and to do system analysis, forecasting, decision making and control in grey systems.<\/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 calculate different grey numbers and used in constructing new grey models.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The paper succeeds in defining new grey number algorithm. The concept and its remarks of grey number are discussed. The novel algorithm can be used in creating new grey models and solve the modelling parameters in of grey systems theory undoubtedly.<\/jats:p><\/jats:sec>","DOI":"10.1108\/gs-11-2012-0044","type":"journal-article","created":{"date-parts":[[2013,8,20]],"date-time":"2013-08-20T10:15:26Z","timestamp":1376993726000},"page":"177-190","source":"Crossref","is-referenced-by-count":23,"title":["On computational algorithms of grey numbers based on information background"],"prefix":"10.1108","volume":"3","author":[{"given":"Nai\u2010ming","family":"Xie","sequence":"first","affiliation":[]}],"member":"140","reference":[{"key":"key2022012719454279500_b6","doi-asserted-by":"crossref","unstructured":"Deng, J.L. (1982), \u201cThe control problem of grey systems\u201d, System & Control Letters, Vol. 1 No. 5, pp. 288\u2010294.","DOI":"10.1016\/S0167-6911(82)80025-X"},{"key":"key2022012719454279500_b7","unstructured":"Deng, J.L. 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