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In this paper, we have characterizations of idempotent matrices over general Boolean algebras and chain semirings. As a consequence, we obtain that a fuzzy matrix A = [a_i,j_] is idempotent if and only if all a_i,j_-patterns of A are idempotent matrices over the binary Boolean algebra B₁ = {0, 1} Furthermore, it turns out that a binary Boolean matrix is idempotent if and only if it can be represented as a sum of line parts and rectangle parts of the matrix.

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참고문헌 (7건) : 자료제공( 네이버학술정보 )

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번호 참고문헌 국회도서관 소장유무
1 R. B. Bapat, (1997) Nonnegative idempotent matrices and minuspartial order, 미소장
2 Beasley, (1992) Linear operators strongly preserving idempotent ma-trices over semirings, 미소장
3 J. S. Golan, (1999) Semirings and their applications, updated and expanded version of the oryof semirings, with applications to mathematics and theoretical computer science, KluwerAcademic Publishers, Dordrecht 미소장
4 Kirkland, (1993) Linear operators preserving invariants of non-binarymatrices, 미소장
5 V. N. Kolokoltsov, (1997) Idempotent Analysis and its Applications , Dordrecht: Kluwer Academic Publishers 미소장
6 S. Z. Song, (2001) Types and enumeration of idempotent matrices , 미소장
7 S. Z. Song, (2007) Idempotent matrix preservers over Booleanalgebras, 미소장