Calculation of time to complete a task by a group of employees using fuzzy sets for the sustainable development of the enterprise

Abstract

The article considers the use of fuzzy sets in determining the execution time of tasks. An approach is proposed that makes it possible to obtain an expert estimate of the time taken to complete a task by a specific employee in the form of a fuzzy set. A procedure is proposed for generalizing fuzzy sets defined on different bearing sets. To apply the proposed procedure, fuzzy sets are subject to continuity and monotonicity restrictions. The generalization procedure is based on the process of finding the value of a fuzzy set for a certain value of its membership function. For piecewise linear functions, the operation of calculating the points of the resulting function is defined. Piecewise nonlinear functions are considered and an algorithm for searching for individual values of the generalized membership function is described. In addition to generalizing fuzzy sets, an approach to calculating the interaction time of workers is proposed. Various approaches to defuzzification of fuzzy sets of task execution time are considered. The proposed approach will improve the work planning for sustainability of enterprise.