Semirings and pseudo MV algebras

  • Authors:

  • Yun Shang;Ruqian Lu

  • Affiliations:

  • Academia Sinica, Institute of Mathematics, AMSS, 100080, Beijing, People’s Republic of China;Academia Sinica, Institute of Mathematics, AMSS, 100080, Beijing, People’s Republic of China

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • Year:
  • 2007

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Abstract

In this paper, we describe the relationships between pseudo MV algebras and semirings. We also give definitions of automata on lattice ordered semirings, prove that the family of K-Languages is closed under union, and discuss the conditions for the closedness of families of K-languages under intersection, generalized intersection and reversal operations.