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Zhang, Y., Li, D. C.. (1401). Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas. نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), 171-183. doi: 10.22111/ijfs.2023.7353
Y. Zhang; D. C. Li. "Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas". نشریه علمی دانشگاه سیستان و بلوچستان, 20, 1, 1401, 171-183. doi: 10.22111/ijfs.2023.7353
Zhang, Y., Li, D. C.. (1401). 'Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas', نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), pp. 171-183. doi: 10.22111/ijfs.2023.7353
Zhang, Y., Li, D. C.. Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas. نشریه علمی دانشگاه سیستان و بلوچستان, 1401; 20(1): 171-183. doi: 10.22111/ijfs.2023.7353

Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas

Iranian Journal of Fuzzy Systems
دوره 20، شماره 1، فروردین و اردیبهشت 2023، صفحه 171-183  XML اصل مقاله (202.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7353
نویسندگان
Y. Zhang1، 2؛ D. C. Li* 1، 2
1School of Information and Engineering, Zhejiang Ocean University, Zhoushan, 316000, China
2Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan, 316022, China
چکیده
Generalized hypothetical syllogism (GHS) plays a very important role in fuzzy inference.
Therefore, it is valuable to investigate the GHS based on the Bandler-Kohout  subproduct (BK-GHS) in order to measure the availability of fuzzy inference.  This paper aims to study the (BK-GHS) property   of some well-known fuzzy implications including (S, N)-, QL-, $f$-, $g$-, probabilistic and probabilistic S-implications in detail. We use the method of automorphism transformation to investigate (S, N)- and QL-implications and make better use of some essential properties about  $f$-, $g$-, probabilistic and probabilistic S-implications to make them satisfy (BK-GHS) with semicopulas. With these results, (BK-GHS) can be more effectively applied in practice.
کلیدواژه‌ها
Fuzzy implication؛ generalized hypothetical syllogism؛ semicopula؛ Bandler-Kohout subproduct
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تعداد مشاهده مقاله: 50
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