L-approximations and join preserving operators

Kim, Yong Chan

J. Math. Comput. Sci. 3 (2013), 1193–1210

L-approximations and join preserving operators

Yong Chan Kim

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Abstract

In this paper, we show that join (resp. meet, meet join, join meet) preserving maps and upper (resp. lower, meet join, join meet) approximation maps are equivalent in complete residuated lattices. We investigate relations between their maps and fuzzy connections.

Published: 8 October 2013
Volume: 3 (2013)
License: CC BY 3.0

Copyright © 2013 Yong Chan Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Y. C. Kim, L-approximations and join preserving operators, J. Math. Comput. Sci. 3 (2013), 1193–1210.

BibTeX

@article{Kim2013,
  author  = {Kim, Yong Chan},
  title   = {L-approximations and join preserving operators},
  journal = {J. Math. Comput. Sci.},
  volume  = {3},
  year    = {2013},
  pages   = {1193--1210},
  doi     = {}
}