Hesitant fuzzy linguistic rough set over two universes model and its applications

Abstract

In practical decision making situations, decision makers usually express preferences by evaluating qualitative linguistic alternatives using the hesitant fuzzy linguistic term set. To analyze the hesitant fuzzy linguistic information effectively, we aim to apply the rough set over two universes model. Thus, it is necessary to study the fusion of the hesitant fuzzy linguistic term set and rough set over two universes. This paper proposes a general framework for the study of the hesitant fuzzy linguistic rough set over two universes. First, both the definitions and some fundamental properties will be developed, followed by construction of a general decision making rule based on the hesitant fuzzy linguistic information. Finally, we illustrate the newly proposed approach according to the basis of person-job fit, and discuss its applications compared to classical methods.