Publication details
On the structure of special classes of uninorms
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Fuzzy Sets and Systems |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.fss.2013.09.013 |
| Doi | http://dx.doi.org/10.1016/j.fss.2013.09.013 |
| Keywords | Associativity; Contour; Level set; Reidemeister closure condition; Uninorm; Web geometry |
| Description | In this paper, the concept of the Reidemeister closure condition is adopted in order to characterize associativity of uninorms with a special attention paid to the class of representable uninorms. Thus, conditions replacing the associativity requirement for such uninorms are given. Further, the attention if focused on the uninorms where the underlying t-norm and t-conorm is idempotent or induce an involutive negator. Based on the aforementioned results, the structure of these classes of uninorms is fully described. |