On the lattice of stratified principal L-topologies

Raji George () and T. P. Johnson
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Raji George: St. Peter’s College
T. P. Johnson: Cochin University of Science and Technology

Fuzzy Information and Engineering, 2013, vol. 5, issue 3, 351-358

Abstract: 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.

Keywords: Stratified principal L-topology; Complete lattice; Atom; Dual atom; Join-complement; Semi-complement; Complement (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s12543-013-0148-y

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