A note on the convex combinations of triangular norms

Fabrizio Durante; Peter Sarkoci

doi:10.1016/j.fss.2007.07.005

A note on the convex combinations of triangular norms

Fabrizio Durante, Peter Sarkoci

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a property on binary operations, which we call $\alpha$-migrativity, and we use it to obtain triangular norms by means of convex combinations of two triangular norms, one of them being discontinuous.

Original language	English
Pages (from-to)	77-80
Number of pages	4
Journal	Fuzzy Sets and Systems
Volume	159
Issue number	1
DOIs	https://doi.org/10.1016/j.fss.2007.07.005
Publication status	Published - 2008

Fields of science

101 Mathematics
101004 Biomathematics
101027 Dynamical systems
101013 Mathematical logic
101028 Mathematical modelling
101014 Numerical mathematics
101020 Technical mathematics
101024 Probability theory
102001 Artificial intelligence
102003 Image processing
102009 Computer simulation
102019 Machine learning
102023 Supercomputing
202027 Mechatronics
206001 Biomedical engineering
206003 Medical physics
102035 Data science

Access to Document

10.1016/j.fss.2007.07.005

Cite this

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title = "A note on the convex combinations of triangular norms",

abstract = "We consider a property on binary operations, which we call $\alpha$-migrativity, and we use it to obtain triangular norms by means of convex combinations of two triangular norms, one of them being discontinuous.",

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DO - 10.1016/j.fss.2007.07.005

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