{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T20:31:38Z","timestamp":1718656298892},"reference-count":30,"publisher":"Emerald","issue":"6","license":[{"start":{"date-parts":[[2019,9,9]],"date-time":"2019-09-09T00:00:00Z","timestamp":1567987200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["K"],"published-print":{"date-parts":[[2019,9,9]]},"abstract":"\nPurpose<\/jats:title>\nThis paper aims to propose an enhanced algorithm and used to decision-making that specifically focuses on the choice of a domain in the calculation of degree of greyness according to the principle of grey numbers operation. The domain means the emerging background of interval grey numbers, it is vital for the operational mechanism of such interval grey numbers. However, the criteria of selection of domain always remain same that is not only for the calculated grey numbers but also for the resultant grey numbers, which can be assumed as unrealistic up to a certain extent.<\/jats:p>\n<\/jats:sec>\n\nDesign\/methodology\/approach<\/jats:title>\nThe existence of interval grey number operation based on kernel and the degree of greyness containing two calculation aspects, which are kernel and the degree of greyness. For the degree of greyness, it includes concepts of domain and calculation of the domain. The concepts of a domain are defined. The enhanced algorithm is also comprised of four deductive theorems and eight rules that are linked to the properties of the enhanced algorithm of the interval grey numbers based on the kernel and the degree of greyness.<\/jats:p>\n<\/jats:sec>\n\nFindings<\/jats:title>\nAiming to improve the algorithm of the degree of greyness for interval grey numbers, based on the variation of domain in the operation process, the degree of greyness of the operation result is defined in this paper, and the specific expressions for algebraic operations are given, which is relevant to the kernel, the degree of greyness and the domain. Then, these expressions are used to the algorithm of interval grey numbers based on the kernel and the degree of greyness, improving the accuracy of the operation results.<\/jats:p>\n<\/jats:sec>\n\nOriginality\/value<\/jats:title>\nThe enhanced algorithm in this paper can effectively reduce the loss of information in the operation process, so as to avoid the situation where the decision values are the same and scientific decisions cannot be made during the grey evaluation and decision-making process.<\/jats:p>\n<\/jats:sec>","DOI":"10.1108\/k-10-2018-0562","type":"journal-article","created":{"date-parts":[[2019,9,24]],"date-time":"2019-09-24T12:58:41Z","timestamp":1569329921000},"page":"1721-1740","source":"Crossref","is-referenced-by-count":3,"title":["An enhanced algorithm for calculating the degree of greyness of interval grey numbers and its application"],"prefix":"10.1108","volume":"49","author":[{"given":"Shuaishuai","family":"Geng","sequence":"first","affiliation":[]},{"given":"Yu","family":"Feng","sequence":"additional","affiliation":[]},{"given":"Yaoguo","family":"Dang","sequence":"additional","affiliation":[]},{"given":"Junjie","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Rizwan","family":"Rasheed","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"issue":"5","key":"key2020061106442863200_ref001","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/S0167-6911(82)80025-X","article-title":"Control problems of grey systems","volume":"1","year":"1982","journal-title":"Systems and Control Letters"},{"issue":"4","key":"key2020061106442863200_ref002","first-page":"101","article-title":"The Perron-Frobenius theorem of grey nonnegative matrices and its proof","volume":"21","year":"1987","journal-title":"Journal of Henan Agricultural University"},{"issue":"4","key":"key2020061106442863200_ref003","first-page":"397","article-title":"Axiom on grey degree","volume":"8","year":"1996","journal-title":"Journal of Grey System"},{"issue":"2","key":"key2020061106442863200_ref004","first-page":"57","article-title":"Study on improvement of token and arithmetic of interval grey numbers and its GM(1,1) model","volume":"7","year":"2005","journal-title":"Chinese Engineering Science"},{"issue":"2","key":"key2020061106442863200_ref005","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s11518-016-5307-3","article-title":"Comparing two clustering-based techniques to track mobile nodes in industrial wireless sensor networks","volume":"25","year":"2016","journal-title":"Journal of Systems Science and Systems Engineering"},{"issue":"6","key":"key2020061106442863200_ref006","first-page":"1042","article-title":"Multi-attribute decision-making model based on kernel and degree of greyness of interval grey numbers","volume":"31","year":"2016","journal-title":"Control and Decision"},{"issue":"4","key":"key2020061106442863200_ref007","first-page":"2999","article-title":"Multi-criteria group decision-making method for optimal selection of sustainable industrial building options focused on petrochemical projects","volume":"142","year":"2016","journal-title":"Journal of Cleaner Production"},{"issue":"3","key":"key2020061106442863200_ref008","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1108\/GS-07-2017-0019","article-title":"Study on distance measuring and sorting method of general grey number","volume":"7","year":"2017","journal-title":"Grey Systems: Theory and Application"},{"key":"key2020061106442863200_ref009","volume-title":"Grey System: Social and Economic","year":"1985"},{"issue":"6","key":"key2020061106442863200_ref010","doi-asserted-by":"crossref","first-page":"1254","DOI":"10.1109\/JSEE.2015.00138","article-title":"Fundamental definitions and calculation rules of grey mathematics: a review work","volume":"26","year":"2015","journal-title":"Journal of Systems Engineering and Electronics"},{"key":"key2020061106442863200_ref011","volume-title":"Grey System Theory and Applications","year":"2010","edition":"5th ed"},{"issue":"2","key":"key2020061106442863200_ref012","first-page":"313","article-title":"Algorithm rules of interval grey numbers based on the \u2018kernel\u2019 and the degree of greyness of grey numbers","volume":"32","year":"2010","journal-title":"Journal of Systems Engineering and Electronics"},{"key":"key2020061106442863200_ref013","doi-asserted-by":"crossref","first-page":"1042","DOI":"10.1016\/j.energy.2016.09.017","article-title":"A grey neural network and input-output combined forecasting model. 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