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THE CONSTRUCTION OF FUZZY IDEMPOTENT ZERO PATTERNS BY A PROGRAM
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  • Journal title : Honam Mathematical Journal
  • Volume 36, Issue 1,  2014, pp.187-198
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2014.36.1.187
 Title & Authors
THE CONSTRUCTION OF FUZZY IDEMPOTENT ZERO PATTERNS BY A PROGRAM
Park, Se Won; Kang, Chul;
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 Abstract
The fuzzy idempotent matrices are important in various applications and have many interesting properties. Using the upper diagonal completion process, we have the zero patterns of fuzzy idempotent matrix, that is, Boolean idempotent matrices. And we give the construction of all fuzzy idempotent matrices for some dimention.
 Keywords
fuzzy idempotent matrix;zero patterns;Boolean matrix;
 Language
English
 Cited by
 References
1.
K. H. Kim and F. W. Roush, Generalized fuzzy matrices, Fuzzy Sets and Systems 4 (1980), 293-315. crossref(new window)

2.
K. H. Kim and F. W. Roush, Idempotent fuzzy matrices, Seminar Report, Alabama State Univ., Montgomery, AL (1981).

3.
H. Hashimoto, Canonical form of a transitive fuzzy matrix, Fuzzy Sets and Systems 11 (1983), 157-162 crossref(new window)

4.
H. Schneider The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties, Linear Algebra Appl. 84 (1986), 161-189 crossref(new window)

5.
H. Y. Lee and S. W. Park The Boolean idempotent matrices, Journal of Applied Math. and copmuting. 15 (2004), 475-484