End-point linear functions

Document Type : Research Paper


1 Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Bratislava, Slovak Republic

2 School of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu, China

3 Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, CE IT4Innovations, Czech Republic


Positive homogeneity is represented as a constraint 0-homogeneity and generalized into z-homogeneity, called also z-end point linearity. Several special z-homogeneous aggregation functions are studied, in particular semicopulas, quasi-copulas, copulas, overlap functions, etc.