On compositions of lattice matrices

  • Authors:
  • Yi-jia Tan

  • Affiliations:
  • Department of mathematics, Fuzhou University, Fuzhou, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2002

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Abstract

In this paper, we give some properties of compositions of matrices whose elements belong to a distributive lattice. We also construct an idempotent matrix from a given matrix, and factor a matrix into a product of a square matrix and a rectangular matrix of the same dimension, this square matrix has reflexivity and transitivity. The main results obtained in this paper are generalizations of previous results on fuzzy matrices by Ragab, Emam and Hashimato.