A NEW WAY TO EXTEND FUZZY IMPLICATIONS

Authors

  • Fu-gui Shi School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China
  • Yuan-Liang Han School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China and College of Science, North China Institute of Science and Technology, Langfang 065201, P.R.China
Abstract:

The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special case, we investigate the extension of $(S,N)-$implications. Results indicate that the extended implications preserve many of the considered properties of $(S,N)$-implications.

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Journal title

volume 15  issue 3

pages  79- 97

publication date 2018-06-30

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