Bustince, H., Fernandez, J., Mesiar, R., Montero, J. and Orduna, R. (2009) Overlap Index, Overlap Functions and Migrativity. Proceedings of IFSA/EUSFLAT Conference, Lisbon, 20-24 July 2009, 300-305.

has been cited by the following article:

• TITLE: On Multiplicative Generators of n-Dimensional Overlap Functions

  AUTHORS: Hai Xie

  KEYWORDS: n-Dimensional Overlap Functions, Overlap Functions, Multiplicative Generators

  JOURNAL NAME: Applied Mathematics, Vol.11 No.11, November 4, 2020

  ABSTRACT: In this paper, inspired by the multiplicative generators of overlap functions, we mainly propose the concepts of multiplicative generator pairs of n-dimensional overlap functions, in order to extend the dimensionality of overlap functions from 2 to n. We present the condition under which the pair (g, h) can multiplicatively generate an n-dimensional overlap functionOg,h. we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions.