Representing uncertainty in group decision making through the hesitant information set approach

In multi-attribute group decision making (MAGDM), different types of uncertainties co-exist on account of hesitancy, vagueness, and incompleteness besides the diversity in evaluations. To cater to this problem of representing such uncertain evaluations in their original form, new datastructures have been proposed. In this regard, the concept of hesitant information set (HIS) [Applied Soft Computing, 2018] is of great significance. To add to its usefulness in the representation of vague evaluations, it is extended to the continuous and interval-valued domains. A number of illustrative examples are included to show their worth in the real-world group decision-making. The basic operations for them, along with their properties, are investigated. A real case-study is included.