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SIAM Journal on Numerical Analysis, 1993
If \(A\) is a regular interval matrix, the inverse of \(A\) is defined as that interval matrix of smallest width which contains all point inverses of \(A\). Let the inverse of \(A\) be denoted by \(B = (B_{ij})\) with intervals \(B_{ij} = [\underline{B}_{ij},\overline{B}_{ij}]\). A finite set of point matrices \(A_{yz} \in A\) is introduced where \(y\)
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If \(A\) is a regular interval matrix, the inverse of \(A\) is defined as that interval matrix of smallest width which contains all point inverses of \(A\). Let the inverse of \(A\) be denoted by \(B = (B_{ij})\) with intervals \(B_{ij} = [\underline{B}_{ij},\overline{B}_{ij}]\). A finite set of point matrices \(A_{yz} \in A\) is introduced where \(y\)
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Interval programming models for matrix games with interval payoffs
Optimization Methods and Software, 2012The aim of this paper is to study how to solve a type of matrix game with interval payoffs. In this paper, the interval inequality relations and the concept of solutions of the matrix game with interval payoffs are defined. Based on the fuzzy ranking index defined, the solution of the matrix game with interval payoffs can be obtained through solving a ...
Deng-Feng Li +2 more
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Fast interval matrix multiplication
Numerical Algorithms, 2011The author discusses various methods for the multiplication of point and/or interval matrices with interval result. Some are based on new a priori estimates of the error of floating-point matrix products. The amount of overestimation including all rounding errors is analyzed.
Théveny, Philippe, Revol, Nathalie
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Fast Inclusion of Interval Matrix Multiplication
Reliable Computing, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ogita, Takeshi, Oishi, Shin'ichi
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The Lambdoma matrix and harmonic intervals
IEEE Engineering in Medicine and Biology Magazine, 1999We are trying to reconstruct some of the laws of music by exploring the nature of the Lambdoma diagram of harmonic whole-number ratios. We hypothesize that the effects of this music, because of its well-defined mathematical construct, are that of emotional and physical harmony (cenesthesia).
B, Hero, R M, Foulkrod
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Brown–Robinson method for interval matrix games
Soft Computing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyar, Emrah +2 more
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Matrix Games with Interval Payoffs
2019In this chapter, flaws of the existing methods [3–7, 11] for solving matrix games (or two person zero sum games) with interval payoffs (matrix games in which payoffs are represented by intervals) are pointed out. To resolve these flaws, a new method (named as Gaurika method) is also proposed to obtain the optimal strategies as well as minimum expected ...
Tina Verma, Amit Kumar
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