Ratio Mathematica (Dec 2023)

Non-deterministic-M-fuzzy Lattices

  • Gireesan K.K.,
  • Annie Sabitha Paul,
  • Sabu Sebastian

DOI
https://doi.org/10.23755/rm.v48i0.1270
Journal volume & issue
Vol. 48, no. 0

Abstract

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Goran Trajakoviski and Tepavcevic´invented the L-fuzzy lattice in which a ´ bounded lattice is fuzzified using a complete lattice. Using a complete consistent distributive multilattice M, we broaden the concept of L-fuzzy lattice to Nd-M-fuzzy lattice in this study. We also introduce the idea of Nd-M-order relation on a set X. Additionally, we demonstrated that the equivalent condition for a Nd-M-fuzzy subset to be a Nd-M-fuzzy sublattice of a bounded lattice L.

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