Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CANONICAL FORM OF AN TRANSITIVE INTUITIONISTIC FUZZY MATRICES

  • LEE, HONG-YOUL (Department of Mathematics Education Woosuk University) ;
  • JEONG, NAE-GYEONG (Department of Mathematics Seonam University)
  • Received : 2005.10.19
  • Accepted : 2005.11.07
  • Published : 2005.12.25
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Abstract

Some properties of a transitive fuzzy matrix are examined and the canonical form of the transitive fuzzy matrix is given using the properties. As a special case an open problem concerning idempotent matrices is solved. Thus we have the same result in a intuitionistic fuzzy matrix theory. In our results a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix play an important role. We decompose a transitive intuitionistic fuzzy matrix into sum of a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix. Then we obtain a canonical form of the transitive intuitionistic fuzzy matrix.

Keywords

References

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