Optimization over pseudo-Boolean lattices

  • Authors:

  • M. Hosseinyazdi;A. Hassankhani;M. Mashinchi

  • Affiliations:

  • Faculty of Math. and Computer Sciences, Kerman University, Kerman, Iran;Faculty of Math. and Computer Sciences, Kerman University, Kerman, Iran;Faculty of Math. and Computer Sciences, Kerman University, Kerman, Iran

  • Venue:
  • ICC'05 Proceedings of the 9th International Conference on Circuits
  • Year:
  • 2005

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Abstract

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.