Comparison of H-Logical Norm with some t-Norms

Abstract

The paper presents the comparison of fuzzy conclusions derived from the use of t-norms with the fuzzy conclusions derived from the use of H-norm. The idea was to examine the application of H-logical norm to fuzzy reasoning, which is not monotonious while it is known that t-norms used in fuzzy reasoning have the characteristic of monotonicity. The comparison of fuzzy conclusions was performed by the use of coherence measure. The research was carried out on a relatively small number of examples (nine) and it was shown that the fuzzy conclusions derived from the use of H-norm were the closest to the fuzzy conclusions derived from TL-norm.