Comparison of H‐Logical Norm with some t‐Norms

Article type: Research Article

Authors: Nikolic, Branka | Hotomski, Petar

Affiliations: University of Novi Sad, Technical Faculty "Mihajlo Pupin" Djure Djakovica bb, 23000 Zrenjanin, Serbia and Montenegro, e‐mail: bmnikolic@ptt.yu

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.

Keywords: fuzzy reasoning, fuzzy conclusion, t‐norms, H‐norm, coherence measure, comparison of fuzzy conclusions

Journal: Informatica, vol. 14, no. 4, pp. 515-528, 2003