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On the lattice of stratified principal L-topologies

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Fuzzy Information and Engineering

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.

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Authors and Affiliations

  1. Department of Mathematics, St. Peter’s College, Kolenchery, 682311, Ernkulam Dt., Kerala State, India

    Raji George

  2. Applied Sciences and Humanities Division, School of Engineering, Cochin University of Science and Technology, Cochin-22, Kerala State, India

    T. P. Johnson

Authors
  1. Raji George
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  2. T. P. Johnson
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Correspondence to Raji George.

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George, R., Johnson, T.P. On the lattice of stratified principal L-topologies. Fuzzy Inf. Eng. 5, 351–358 (2013). https://doi.org/10.1007/s12543-013-0148-y

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  • DOI: https://doi.org/10.1007/s12543-013-0148-y

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