DOI QR코드

DOI QR Code

FUZZY LATTICES AS FUZZY RELATIONS

  • CHON, INHEUNG (Department of Mathematics Seoul Women's University)
  • Received : 2015.08.28
  • Accepted : 2015.10.15
  • Published : 2015.12.30

Abstract

We dene a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

Keywords

References

  1. N. Ajmal and K. V. Thomas, Fuzzy lattices, Inform. Sci. 79 (1994), 271-291. https://doi.org/10.1016/0020-0255(94)90124-4
  2. I. Chon, Fuzzy partial order relations and fuzzy lattices, Korean J. Math. 17 (2009), 361-374.
  3. J. A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967), 145-174. https://doi.org/10.1016/0022-247X(67)90189-8
  4. E. Sanchez, Resolution of composite fuzzy relation equation, Inform. and Control 30 (1976), 38-48. https://doi.org/10.1016/S0019-9958(76)90446-0
  5. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  6. L. A. Zadeh, Similarity relations and fuzzy orderings, Inform. Sci. 3 (1971), 177-200. https://doi.org/10.1016/S0020-0255(71)80005-1

Cited by

  1. SOME PROPERTIES OF FUZZY LATTICES AS FUZZY RELATIONS vol.24, pp.3, 2016, https://doi.org/10.11568/kjm.2016.24.3.525