A numerical approach to linguistic variables and linguistic space

Author

Liu, Chengan ; Shindhelm, Art ; Li, Dapeng ; Jin, Kun

Author_Institution

Comput. Sci. Dept., Western Kentucky Univ., Bowling Green, KY, USA

Volume

2

fYear

1996

fDate

8-11 Sep 1996

Firstpage

954

Abstract

The paper introduces an approach to translate linguistic variables (LV) into numerical ones without using the concept of membership. It achieves this goal in three steps: (1) arrange all the atomic terms of a LV inside the interval (0,1|; 2) put a restriction on any compound term of a LV that it can only be formed by the product of a weight vector and the standard vector of this LV; (3) use a standard matrix to describe a linguistic space (LS). Every state of a problem space corresponds to a numerical point of a LS whose numerical coordinates can be calculated by the product of its weight matrix and the standard matrix. The paper also discusses several possible applications of this approach

Keywords

computational linguistics; formal languages; fuzzy logic; fuzzy set theory; atomic terms; compound term; fuzzy logic; fuzzy set theory; linguistic space; linguistic variables; numerical approach; numerical coordinates; problem space; standard matrix; standard vector; weight vector; Art; Computer science; Data analysis; Fuzzy logic; Humans; Natural languages; Performance analysis; Physics; Power engineering and energy; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on

Conference_Location

New Orleans, LA

Print_ISBN

0-7803-3645-3

Type

conf

DOI

10.1109/FUZZY.1996.552307

Filename

552307