호남수학학술지 (Honam Mathematical Journal)

  • 제26권1호
  • /
  • Pages.3-15
  • /
  • 2004
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

THE IDEMPOTENT FUZZY MATRICES

  • LEE, HONG YOUL (Dept. of Mathematics Education, Woosuk University) ;
  • JEONG, NAE GYEONG (Dept. of Mathematics, Seonam University) ;
  • PARK, SE WON (Dept. of Mathematics, Seonam University)
  • 투고 : 2003.10.31
  • 심사 : 2003.11.21
  • 발행 : 2004.03.25
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초록

In the fuzzy theory, a matrix A is idempotent if $A^2=A$. The idempotent fuzzy matrices are important in various applications and have many interesting properties. Using the upper diagonal completion process, we have the zero patterns of idempotent fuzzy matrix, that is, the idempotent Boolean matrices. In addition, we give the construction of all idempotent fuzzy matrices for each dimension n.

키워드

과제정보

연구 과제 주관 기관 : Woosuk university

참고문헌

  1. Fuzzy Sets and Systems v.4 Generatized fuzzy matrices Kim, K.H.;Roush, F.W.
  2. Seminar Report Idempotent fuzzy matrices Kim, K.H.;Roush, F.W.
  3. Fuzzy Sets and Systems v.11 Canonical form of a transitive fuzzy matrix Hashimoto, H.
  4. J. Appl. and Computing The Bootean idempotent matrices Lee, H.Y.;Park, S.W.