Uncertain Formal Concept Based on 3-Valued Lukasiewicz Logic

Most research works related to FCA depend on the hypothesis of that the possession of an attribute by an object is crisp: either an object has an attribute, or not. When facing the complex real world, it is impractical to expect any individual has complete knowledge, so it makes more sense to admit uncertain formal concept analysis is a more powerful tool from a more realistic perspective. In this paper, after proving some theorems, we show 3-valued Lukasiewicz logic is a useful instrument in this context, overcoming some shortcomings of existing FCA techniques.