Fuzzy implications satisfying the generalized hypothetical syllogism based on the Bandler-Kohout subproduct with semicopulas
Publish place: Iranian Journal of Fuzzy Systems، Vol: 20، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-20-1_012
تاریخ نمایه سازی: 27 دی 1401
Abstract:
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.
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