Linguistic-Valued Intuitionistic Fuzzy Concept Lattice and Its Application

Natural language is always used to reason or make decision. For the uncertain problems represented by linguistic values, inspired by the linguistic value intuitionistic fuzzy algebra and the intuitionistic fuzzy formal context, the linguistic-valued intuitionistic fuzzy formal context is proposed and its related properties are analyzed. Accordingly, the linguistic-valued intuitionistic fuzzy concept lattice is constructed. Based on the degree of similarity between two linguistic-valued intuitionistic fuzzy concepts, the degree of similarity between two linguistic-valued intuitionistic fuzzy concept lattices is presented, and the pattern recognition method based on linguistic-valued intuitionistic fuzzy concept lattice is proposed. The effectiveness and practicability of this method are illustrated by an example of diagnosis and recognition of Chinese medicine diseases.