On some constructions of new triangular norms
We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other h...
| Author: | |
|---|---|
| Format: | Article |
| Publication date: | 1995 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2099/2607 |
| Online Access: | https://hdl.handle.net/2099/2607 |
| Access Level: | Open access |
| Keyword: | Contraction Dilatation Ordinal sum Triangular norm Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| _version_ | 1878735489006043136 |
|---|---|
| author | Mesiar, Radko |
| author_browse | Mesiar, Radko |
| author_facet | Mesiar, Radko |
| author_role | author |
| collection | UPCommons. Portal del coneixement obert de la UPC |
| description | We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_7db5a90dfdcf88a99cbd5ceace76817c |
| institution | Universitat Politècnica de Catalunya (UPC) |
| instname_str | Universitat Politècnica de Catalunya (UPC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:upcommons.upc.edu:2099/2607 |
| publishDate | 1995 |
| publishDateSort | 1995 |
| publisher | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
| publisherStr | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
| reponame_str | UPCommons. Portal del coneixement obert de la UPC |
| spelling | On some constructions of new triangular norms Mesiar, Radko Contraction Dilatation Ordinal sum Triangular norm Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given. Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica https://hdl.handle.net/2099/2607 |
| spellingShingle | On some constructions of new triangular norms Mesiar, Radko Contraction Dilatation Ordinal sum Triangular norm Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| title | On some constructions of new triangular norms |
| title_full | On some constructions of new triangular norms |
| title_fullStr | On some constructions of new triangular norms |
| title_full_unstemmed | On some constructions of new triangular norms |
| title_short | On some constructions of new triangular norms |
| title_sort | On some constructions of new triangular norms |
| topic | Contraction Dilatation Ordinal sum Triangular norm Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| topic_facet | Contraction Dilatation Ordinal sum Triangular norm Lògica difusa Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| url | https://hdl.handle.net/2099/2607 |