Interval eigenvectors of circulant matrices in fuzzy algebra
نویسندگان
چکیده
منابع مشابه
Eigenvectors of interval matrices over max-plus algebra
The behaviour of a discrete event dynamic system is often conveniently described using a matrix algebra with operations max and plus Such a system moves forward in regular steps of length equal to the eigenvalue of the system matrix if it is set to operation at time instants corresponding to one of its eigenvectors However due to imprecise measurements it is often unappropriate to use exact mat...
متن کاملEigenvectors of block circulant and alternating circulant matrices
The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant matrices, including the Jordan Canonical Form for defective eigenvectors. That analysis is applied to Stephen J. Watson’s alternating circulant m...
متن کاملunit group of algebra of circulant matrices
let $cr_n(f_p)$ denote the algebra of $n times n$ circulant matrices over $f_p$, the finite field of order $p$ a prime. the order of the unit groups $mathcal{u}(cr_3(f_p))$, $mathcal{u}(cr_4(f_p))$ and $mathcal{u}(cr_5(f_p))$ of algebras of circulant matrices over $f_p$ are computed.
متن کاملRobustness of Interval Toeplitz Matrices in Fuzzy Algebra
Fuzzy algebra is an algebraic structure in which classical addition and multiplication are replaced by ⊕ and ⊗, where a⊕ b = max{a,b}, a⊗ b = min{a,b}. Fuzzy discrete dynamic systems can be introduced by fuzzy matrices and are useful for describing knowledge engineering, scheduling, cluster analysis, fuzzy logic programs, diagnosis of technical devices or medical diagnosis. The paper deals with...
متن کاملthe unit group of algebra of circulant matrices
let $cr_{n}(f)$ denote the algebra of $n times n$ circulant matrices over the field $f$. in this paper, we study the unit group of $cr_{n}(f_{p^m})$, where $f_{p^m}$ denotes the galois field of order $p^{m}$, $p$ prime.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Electrotechnica et Informatica
سال: 2012
ISSN: 1338-3957,1335-8243
DOI: 10.2478/v10198-012-0033-3