Garrido, Angel Symmetry vs. asymmetry. (English) Zbl 1212.26070 Acta Univ. Apulensis, Math. Inform. 17, 69-75 (2009). Summary: Symmetry, jointly with its “opposite”, antisymmetry, may be considered as two sides of the same coin: total symmetry, or total asymmetry, relative to a pattern object, without intermediate situations. But this dychotomical classification suffer a lack of necessary and realistic grades. For this reason, it is convenient to introduce “shade regions” modulating the degrees (a fuzzy concept). So, we analyze here the asymmetry problem, with its different approaches of description (from physics, by techniques as group theory), searching for an efficient algorithm, by the introduction of asymmetry/symmetry level functions. MSC: 26E50 Fuzzy real analysis 28E10 Fuzzy measure theory 68T30 Knowledge representation 68T01 General topics in artificial intelligence Keywords:Noether’s theorem; Ward-Takahasi identity; Curie principle of symmetry PDFBibTeX XMLCite \textit{A. Garrido}, Acta Univ. Apulensis, Math. Inform. 17, 69--75 (2009; Zbl 1212.26070) Full Text: EuDML