Affiliations: [a] College of Science, Beijing Information Science and Technology University, Beijing, China
| [b] Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, China
Correspondence:
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Corresponding author. Guixiang Wang, Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China. E-mail: [email protected].
Abstract: In this paper, based on statistical method, we establish a method for constructing fold line type fuzzy integer valued mapping to represent the change rule of a uncertain integer quantity which changes with the change of some quantity; For the convenience of calculations, we provide 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.