A NEW WAY TO EXTEND FUZZY IMPLICATIONS

Document Type: Research Paper

Authors

1 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

2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, 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.

Keywords


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