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

Author

Hongliang Zheng ; Yunxia Zhang ; Li Zou

Author_Institution

Sch. of Comput. & Inf. Technol., Liaoning Normal Univ., Dalian, China

Volume

04

fYear

2013

fDate

14-17 July 2013

Firstpage

1812

Lastpage

1817

Abstract

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.

Keywords

fuzzy set theory; matrix algebra; pattern clustering; 10-element linguistic-valued implication lattice; average linguistic-valued fuzzy similarity formula; fuzzy clustering approach; linguistic-valued fuzzy equivalent matrix; linguistic-valued fuzzy set; linguistic-valued fuzzy similarity matrix; linguistic-valued lattice implication algebra; Abstracts; Algebra; Lattices; Welding; Fuzzy Cluster; Lattice Implication Algebra; Linguistic-Valued Similarity;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2013 International Conference on

Conference_Location

Tianjin

Type

conf

DOI

10.1109/ICMLC.2013.6890891

Filename

6890891