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In this paper, first we will find the solution of the system A * X ≤ b, where A, b are the known suitable matrices and X is the unknown matrix over a pseudo-Boolean lattice. Then its application to find the solution of some fuzzy linear systems as well as finding the solution of the optimization problem Z = max{C * X|A * X ≤ b} is discussed.

- F. Jafari, M. Hosseinyazdi
- 2012

Characteristic Max-Polynomial of a Triangular and Certain Strictly Double / R-a s t i c R-a s t i c R-a s t i c R-a s t i c Matrices Abstract: In this paper we review some properties of permanent of a matrix in max-algebra. We find out a characteristic max-polynomial of triangular matrix and strictly double astic R − / matrix whose diagonal entries are… (More)

In this paper, we solve an open problem in an special case. The problem is to give a characterization for Heyting algebras by means of fractions. Here, we give a representation for a class of Heyting algebras by means of fractions. Fractions on a bounded distributive lattice is a new algebraic structure, which was recently studied by the authors. 1… (More)

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