On some categories of triangular norms on the real unit interval
Publish place: Iranian Journal of Fuzzy Systems، Vol: 19، Issue: 5
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-19-5_013
تاریخ نمایه سازی: 17 مهر 1401
Abstract:
In this work, we introduce some categories of triangular norms in which truth values belong to the real unit interval, where arrows are a generalization of automorphisms. We investigate the existence of products, coproducts, equalizers and coequalizers in these categories. Moreover, we show that Theorems ۲.۲۹, ۲.۳۰ in \cite{Yousefi_Mashinchi_Mesiar_۲۰۲۱} are false by providing counterexamples.
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Authors
P. Helbin
Institute of Mathematics, University of Silesia in Katowice, Katowice, Poland