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On Multiplicative Generators of n-Dimensional Overlap Functions
College of Science, Guilin University of Technology, Guilin, China
Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin, China
- 1 College of Science, Guilin University of Technology, Guilin, China
- 2 Center for Data Analysis and Algorithm Technology, Guilin University of Technology, Guilin, China
Applied Mathematics·Volume 11 (2020)·Pages 1061–1069·Published 2 November 2020·DOI10.4236/am.2020.1111071
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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 function O g,h . we focus on the homogeneity and idempotency property on multiplicatively generated n-dimensional overlap functions.
Keywordsn-Dimensional Overlap FunctionsOverlap FunctionsMultiplicative Generators
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