Han, Y., Shi, F. (2018). A NEW WAY TO EXTEND FUZZY IMPLICATIONS. Iranian Journal of Fuzzy Systems, 15(3), 79-97. doi: 10.22111/ijfs.2018.3951
Yuan-Liang Han; Fu-gui Shi. "A NEW WAY TO EXTEND FUZZY IMPLICATIONS". Iranian Journal of Fuzzy Systems, 15, 3, 2018, 79-97. doi: 10.22111/ijfs.2018.3951
Han, Y., Shi, F. (2018). 'A NEW WAY TO EXTEND FUZZY IMPLICATIONS', Iranian Journal of Fuzzy Systems, 15(3), pp. 79-97. doi: 10.22111/ijfs.2018.3951
Han, Y., Shi, F. A NEW WAY TO EXTEND FUZZY IMPLICATIONS. Iranian Journal of Fuzzy Systems, 2018; 15(3): 79-97. doi: 10.22111/ijfs.2018.3951
1School 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
2School 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.
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