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Iranian Journal of Fuzzy Systems
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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

A NEW WAY TO EXTEND FUZZY IMPLICATIONS

Article 6, Volume 15, Issue 3, May and June 2018, Page 79-97  XML PDF (361 K)
Document Type: Research Paper
DOI: 10.22111/ijfs.2018.3951
Authors
Yuan-Liang Han 1; Fu-gui Shi2
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.
Keywords
Extension-sublattice; Fuzzy implications; E-operator; Retraction
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