The Interval Parameter Optimization Model Based on Three-Way Decision Space and Its Application on Green Products Recommendation

The interval concept lattice theory, a new method of mining objects based on interval parameters, can more accurately deal with uncertain information than the classical concept lattice theory. The optimization of interval parameters has been a problem that is not well solved. From the perspective of three-way decision space, we first combine the theories of interval concept lattice and three-way decision and then put forward interval three-way decision space theory; second, in the interval three-way decision space, the positive region, negative region, and boundary region are divided by extension of interval three-way decision concept; further, the decision loss function and three-way decision rules are extracted. Through adjusting interval parameters of the lattice structure, we could find that when parameter alpha is roughly 0.6, more credible decision rules will be mined and decision-making becomes more clear than that under the condition alpha is less than 0.6; finally, we verify the model by a Green Products Recommendation example.