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where W is the 4 N × D weight matrix of fuzzy MOE detector.
The weighted normalized fuzzy decision matrix of fuzzy TOPSIS has been used to develop line graph and spider graph methods.
where D ( v ) is the ( m + 1 ) -square operational matrix of fuzzy fractional Caputo's derivative of shifted Jacobi polynomials and D v E Φ ( x ) ∈ C E [ a, b ].
Where Z is the data set, U = [μ ik ] is the matrix of fuzzy partition (c × N), V = [v 1, v 2, … v c ] is the vector of the center of classes to be determined, v i ∈ R n is the center of the i th class 1 < i < c, m ∈ [1, + ∞] is a factor that denotes the degree of fuzziness of the partition.
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This paper investigates fuzzy linear systems of the form A1x+b1="A2x+b2 with A1, A2 square matrices of fuzzy coefficients and b1, b2 fuzzy number vectors.
Next, they have defined the α-, β- and γ-duals of a set of sequences of fuzzy numbers, and gave the duals of the classical sets of sequences of fuzzy numbers together with the characterization of the classes of infinite matrices of fuzzy numbers transforming one of the classical sets into another.
Moreover, the Jacobi operational matrix based of fuzzy shifted Jacobi polynomials is introduced with details and provided the application of the method for solving fuzzy linear fractional differential equations of order 0 < v < 1.
Central pivot sprayers, drilling down to rain that fell in the last ice age, irrigated fields of potatoes — from above, they were a matrix of green, fuzzy polka dots.
Fortunately, according to the convexity property (4) of the fuzzy weighting functions (h_{i}(theta(x))), a series of suitable conditions which only need the coefficient matrices of each fuzzy subsystem can be obtained.
Moreover, a co-design algorithm for simultaneously determining the gain matrices of the fuzzy controller and the triggering parameters is developed.
On the other hand, the handling of fuzzy matrices covered determinants of fuzzy matrices, the eigenvalues of fuzzy matrices, and solving least-squares fuzzy linear equations.
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