Article citationsMore>>
Bustince, H., Pagola, M., Mesiar, R., Hüllermeier, E. and Herrera, F. (2012) Grouping, Overlaps, and Generalized Bientropic Functions for Fuzzy Modeling of Pairwise Comparisons. IEEE Transactions on Fuzzy Systems, 20, 405-415.
https://doi.org/10.1109/TFUZZ.2011.2173581
has been cited by the following article:
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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.