Relational structure analysis of fuzzy graph and its application: For analyzing fuzzy data of human relation

Hiroaki Uesu*, Kenichi Nagashima, Hsunhsun Chung, Ei Tsuda

*この研究の対応する著者

研究成果

5 被引用数 (Scopus)

抄録

Generally, we could efficiently analyze the inexact information and investigate the fuzzy relation by applying the fuzzy graph theory[1]. We would extend the fuzzy graph theory, and propose a fuzzy node fuzzy graph. Since a fuzzy node fuzzy graph is complicated to analyze, we would transform it to a simple fuzzy graph by using T-norm family. In addition, to investigate the relations between nodes, we would define the fuzzy contingency table. In this paper, we would discuss about five subjects, (1) new T-norm "Uesu product", (2) fuzzy node fuzzy graph, (3) fuzzy contingency table, (4) decision analysis of the optimal fuzzy graph Gλ0 in the fuzzy graph sequence {Gλ} and (5) its application to sociometry analysis. By using the fuzzy node fuzzy graph theory, the new T-norm and the fuzzy contingency table, we could clarify the relational structure of fuzzy information. According to the decision method in section 2, we could find the optimal fuzzy graph G0 in the fuzzy graph sequence {G λ}, and clarify the structural feature of the fuzzy node fuzzy graph. Moreover, we would illustrate its practical effectiveness with the case study concerning sociometry analysis.

本文言語English
ホスト出版物のタイトルIEEE International Conference on Fuzzy Systems
ページ1593-1597
ページ数5
DOI
出版ステータスPublished - 2011
外部発表はい
イベント2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 - Taipei
継続期間: 2011 6 272011 6 30

Other

Other2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011
CityTaipei
Period11/6/2711/6/30

ASJC Scopus subject areas

  • ソフトウェア
  • 人工知能
  • 応用数学
  • 理論的コンピュータサイエンス

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