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Main Author: Fernandez-Peralta, Raquel
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.05702
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author Fernandez-Peralta, Raquel
author_facet Fernandez-Peralta, Raquel
contents Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the last ten years many new families have been introduced, each defined by specific construction methods and having different key properties. This survey aims to provide a comprehensive and structured overview of the diverse families of fuzzy implication functions, emphasizing their motivations, properties, and potential applications. By organizing the information schematically, this document serves as a valuable resource for both theoretical researchers seeking to avoid redundancy and practitioners looking to select appropriate operators for specific applications.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05702
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Comprehensive Survey of Fuzzy Implication Functions
Fernandez-Peralta, Raquel
Artificial Intelligence
Logic in Computer Science
Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the last ten years many new families have been introduced, each defined by specific construction methods and having different key properties. This survey aims to provide a comprehensive and structured overview of the diverse families of fuzzy implication functions, emphasizing their motivations, properties, and potential applications. By organizing the information schematically, this document serves as a valuable resource for both theoretical researchers seeking to avoid redundancy and practitioners looking to select appropriate operators for specific applications.
title A Comprehensive Survey of Fuzzy Implication Functions
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2503.05702