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Researches on Six Lattice-Valued Logic

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DOI: 10.4236/jcc.2015.310005    2,608 Downloads   2,920 Views  
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ABSTRACT

Based on the direct product of Boolean algebra and Lukasiewicz algebra, six lattice-valued logic is put forward in this paper. The algebraic structure and properties of the lattice are analyzed profoundly and the tautologies of six-valued logic system L6P(X) are discussed deeply. The researches of this paper can be used in lattice-valued logic systems and can be helpful to automated reasoning systems.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Li, H. (2015) Researches on Six Lattice-Valued Logic. Journal of Computer and Communications, 3, 36-42. doi: 10.4236/jcc.2015.310005.

References

[1] Yang, X. and Yun, Q.K. (1995) Fuzzy Lattice Implication Algebra. Southwest Jiaotong University, 2, 121-127.
[2] Xu, Y., Ruan, D. and Liu, J. (2004) Progress and Prospect in Lattice-Valued Logic Systems Based on Lattice Implication Algebras. Proceedings of the 6th International FLINS Conference Applied Computational Intelligence, 29-34.
http://dx.doi.org/10.1142/9789812702661_0009
[3] Min, H.T. (1996) Georgia, Sequencing Primer Theory and Its Application. Southwest Jiaotong University Press.
[4] Fang, S. and Mei, Z.F. (2010) Six Yuan-Based Language of Logic Attributed True Value Method. Guangxi Normal University, 3, 118-122.

  
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