Isnaini Rosyida, Jin Peng, Lin Chen, Nuriana Rachmani Dewi, Tri Sri Noor Asih
In this paper, we consider two types of balance and unbalance assignment problems with restriction of qualification in uncertain environment. Within the framework of uncertainty theory and uncertain programming, we construct three models for uncertain assignment problem with restriction of qualification, i.e., expected minimum balance assignment model, α-minimum balance assignment model, and α-minimum unbalance assignment model. We then prove that the three models can be converted into assignment problem with restriction in deterministic forms, which can be solved via a judging matrix. Finally, some numerical examples are given to illustrate the proposed models. © 2019 World Academic Press, UK. All rights reserved.
Department of Mathematics, Universitas Negeri Semarang, Semarang, Indonesia; Institute of Uncertain Systems, Huanggang Normal University, Hubei, China; College of Management and Economics, Tianjin University, Tianjin, China
