An approach of fuzzy clustering based on linguistic-valued lattice Implication algebra

Linguistic-valued fuzzy set and linguistic-valued fuzzy matrix are defined based on 10-element linguistic-valued Implication lattice. And we propose the linguistic-valued fuzzy similarity, while the average linguistic-valued fuzzy similarity formula is given and proved. This paper also defines linguistic-valued fuzzy similar matrix, linguistic-valued fuzzy equivalent matrix. We give a method calculating linguistic-valued fuzzy equivalent matrix from linguistic-valued fuzzy similar matrix. A clustering approach is proposed using the linguistic-valued fuzzy similar matrix.