An extension of the migrative property for triangular norms

Authors:
J. Fodor;I. J. Rudas
Affiliations:
Institute of Intelligent Engineering Systems, Óbuda University, Bécsi út 96/b, H-1034 Budapest, Hungary;Institute of Intelligent Engineering Systems, Óbuda University, Bécsi út 96/b, H-1034 Budapest, Hungary
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 5
Cited 6

On continuous triangular norms that are migrative

Fuzzy Sets and Systems
A note on the convex combinations of triangular norms

Fuzzy Sets and Systems
Migrativity of aggregation functions

Fuzzy Sets and Systems
Supermigrative semi-copulas and triangular norms

Information Sciences: an International Journal
On the α-migrativity of semicopulas, quasi-copulas, and copulas

Information Sciences: an International Journal

An overview of migrative triangular norms

AIKED'11 Proceedings of the 10th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
Cross-migrative triangular norms

International Journal of Intelligent Systems
Generalizing the migrativity of continuous t-norms

Fuzzy Sets and Systems
On the migrativity of triangular subnorms

Fuzzy Sets and Systems
An extension of the migrative property for uninorms

Information Sciences: an International Journal
Aggregating fuzzy implications

Information Sciences: an International Journal

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper we extend the migrative property of triangular norms by allowing an arbitrary fixed t-norm T"0 in the defining equation instead of the originally used product. Equivalent forms of this extended migrativity are also provided and proved. Two particular cases when T"0 is either the minimum or the Lukasiewicz t-norm are studied. In these cases all continuous extended migrative t-norms are characterized and represented. The proofs are constructive, which helps the reader to build up various families of extended migrative t-norms.