Year: 2021
Type: preprint
Abstract: Generalization of multiset-based similarity quantifications to real, possibly negative multiplicities, has played an important role in obtaining, through the real-valued Jaccard and coincidence indices, impressive results in several tasks including template matching, pattern recognition, neuronal networks, complex networks, and hierarchical clustering. In the present work, we address these topics, with emphasis on generalized multiset binary operators (in the sense of taking two arguments), from a more comprehensive and formal mathematical perspective, including several interesting properties.
Source: HAL
Author: da Fontoura Costa, Luciano
Institutions: Universidade de São Paulo, Instituto de Física de São Carlos
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4226361109