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On the lattice of stratified principal L-topologies

Author

Listed:
  • Raji George

    (St. Peter’s College)

  • T. P. Johnson

    (Cochin University of Science and Technology)

Abstract

We investigate the lattice structure of the set of all stratified principal L-topologies on a given set X. It proves that the lattice of stratified principal L-topologies S p(X) has atoms and dual atoms if and only if L has atoms and dual atoms respectively. Moreover, it is complete and semi-complemented. We also discuss some other properties of the lattice.

Suggested Citation

  • Raji George & T. P. Johnson, 2013. "On the lattice of stratified principal L-topologies," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 351-358, September.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:3:d:10.1007_s12543-013-0148-y
    DOI: 10.1007/s12543-013-0148-y
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    References listed on IDEAS

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    1. S. E. Rodabaugh, 2007. "Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-71, April.
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