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4. ON THE SOLVABILITY OF TWO-SIDED I N T E R V A L SYSTEM OF MAX-PLUS LINEAR EQ UATION by A.H. Hamisu and A. Aminu Volume 50 (March, 2019 Issue)
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ON THE SOLVABILITY OF TWO-SIDED  I N T E R V A L SYSTEM OF 

MAX-PLUS LINEAR EQ UATION

A.H.  Hamisu  and A. Aminu

Department of Mathematics, Kano University of Science and Technology,      Wudil, P.M.B. 3244, Kano, Nigeria

Abstract

Let u ⊕ v = max (u, v) and u ⊗ v = u + v for u, v∈¯R. Max-algebra is an analogue of linear algebra developed for the pair of operations (⊕, ⊗) extended to matrices and vectors in the same way as in linear algebra.  Motivated by the results of one-sided max-linear systems with interval coefficient, we discuss the solvability of two-sided max-linear systems with interval coefficients.         

Keywords: Max-algebra; Two-sided linear systems; Interval coefficients

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