Journal of Shandong University(Engineering Science) ›› 2018, Vol. 48 ›› Issue (6): 74-81.doi: 10.6040/j.issn.1672-3961.0.2018.208

• Machine Learning & Data Mining • Previous Articles     Next Articles

Linguistic concept formal decision context analysis based on granular computing

Kuo PANG(),Siqi CHEN,Xiaoying SONG,Li ZOU*()   

  1. College of Computer and Information Technology, Liaoning Normal University, Dalian 116081, Liaoning, China
  • Received:2018-05-25 Online:2018-12-20 Published:2018-12-26
  • Contact: Li ZOU E-mail:pangkuolnnu@163.com;zoulicn@163.com
  • Supported by:
    国家自然科学基金项目(61772250);国家自然科学基金项目(61673320);国家自然科学基金项目(61672127);中央高校基本科研业务费项目(2682017ZT12);辽宁省自然科学基金项目(2015020059)

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Abstract:

Aiming at the decision problem with linguistic value information, combining linguistic terminology and information system, the linguistic decision information system and linguistic concept was proposed, and the related properties of linguistic concept were discussed. By transforming linguistic decision information systems, the linguistic concept formal decision context was proposed. In order to expand the intent and extent of the linguistic concept lattice, the scale of the linguistic concept was compressed, and the granular linguistic concept formal decision context was proposed by granulating the linguistic concept. The granular computing was introduced into the granular linguistic concept formal decision context, and a rule extraction model based on granular computing for linguistic concept formal decision context was constructed by using coverage and confidence. Medical diagnostic examples illustrated the effectiveness and utility of this method in obtaining high quality rules.

Key words: granular computing, linguistic concept formal decision context, rule extraction, granular rule

CLC Number: 

  • TP181

Table 1

Linguistic decision information system in diagnosis of gastrointestinal cold"

U a b c d e
x1 s1 s0 s2 t1 t-1
x2 s-2 s-2 s-2 t-2 t2
x3 s2 s2 s2 t2 t-2
x4 s0 s0 s1 t0 t0
x5 s1 s2 s2 t2 t-2
x6 s-2 s2 s0 t2 t-1

Table 2

Linguistic concept formal decision context in diagnosis of gastrointestinal cold"

U as-2 as-1 as0 as1 as2 bs-2 bs-1 bs0 bs1 bs2 cs-2 cs-1 cs0 cs1 cs2
x1 × × ×
x2 × × ×
x3 × × ×
x4 × × ×
x5 × × ×
x6 × × ×
U ds-2 ds-1 ds0 ds1 ds2 es-2 es-1 es0 es1 es2
x1 × ×
x2 × ×
x3 × ×
x4 × ×
x5 × ×
x6 × ×

Table 3

The granular linguistic concept formal decision context obtained from Table 2"

U [a]sλ1- [a]sλ1+ [b]sλ1- [b]sλ1+ [c]sλ1- [c]sλ1+ [d]tλ2- [d]tλ2+
x1 × × × ×
x2 × × × ×
x3 × × × ×
x4 × × × ×
x5 × × × ×
x6 × × × ×

Table 4

The granular linguistic concept formal decision context after reduction"

U [a]sλ1- [a]sλ1+ [b]sλ1- [b]sλ1+ [c]sλ1- [c]sλ1+ [d]tλ2- [d]tλ2+
x1 × × × ×
x2 × × × ×
x3 × × × ×
x4 × × × ×
x5 × × × ×
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