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With the increase in web usage, opinion mining has become a new trend in analysing opinions. Nevertheless, opinion mining still faces huge challenges, such as uncertainty in opinions which can make opinions difficult to interpret using existing opinion mining models. These models have been developed to automate the opinion mining process of the user; however, extant models which use machine learning algorithms have limitations dealing with uncertainties in opinions such as online customer reviews. Fuzzy models were introduced to solve this problem. However, the fuzzy models have issues in regard to large uncertain boundaries. To address this serious issue, this research introduces a decision framework via which positive, negative and boundary regions are classified using fuzzy concepts. Then, a convolutional neural network (CNN) is used to further classify fuzzy concepts originally allocated to the boundary region. The framework uses formal concepts to represent uncertainties and the CNN classifies the boundary region concepts into either positive or negative opinions. A series of experiments was conducted, the outcomes of which suggest the uncertainties in opinions can be effectively handled using our three-way decision-making framework. Our work contributes to boosting the performance of opinion classification models. • Uncertainties in opinions are hard to deal with. • Fuzzy concepts are used to represent uncertainties. • Deep learning is proposed to classify uncertain boundaries. • A three-way decision Framework is effective for integrating advanced technologies. [ABSTRACT FROM AUTHOR]