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the calculation formula (in cut set) of linear operations of trapezoid-type fuzzy integers; And we introduce the concept of integral of fuzzy integer valued mapping by using the definition of integral of continuous fuzzy number valued mapping, investigate its properties, and obtain its calculating formula in cut set; At last, taking the case of estimating the quantity of daily vehicle flow of a road, we propose a method for obtaining some imprecise integer statistical quantities based on the theory set up by us, and using a practical example to show the specific algorithm of this method.<\/jats:p>","DOI":"10.3233\/jifs-17383","type":"journal-article","created":{"date-parts":[[2017,8,4]],"date-time":"2017-08-04T11:38:47Z","timestamp":1501846727000},"page":"1855-1866","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Constructing of fuzzy integer valued mapping and the application of its 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