Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties

0474853 - ÚI 2019 RIV NL eng J - Journal Article
Petrík, Milan - Sarkoci, Peter
Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties.
Fuzzy Sets and Systems. Roč. 332, 1 February (2018), s. 93-110. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA ČR GJ15-07724Y
Institutional support: RVO:67985807
Keywords : associativity * conditionally cancellative * continuous triangular subnorm * contour * level set * Reidemeister closure condition * weakly cancellative * web geometry
OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impact factor: 2.907, year: 2018

The paper studies web-geometric properties of continuous weakly cancellative t-subnorms. Particularly, it studies the Reidemeister closure condition which is known from web geometry as a visual characterization of those loops that are associative. As a result, the paper delimits a subset of the domain of a continuous weakly cancellative t-subnorm in which the Reidemeister closure condition is necessarily satisfied.
Permanent Link: http://hdl.handle.net/11104/0271788