An Overview of Fuzzy Implication and Its Generalizations

Key Points

• The survey aims to provide a structured overview of various types of fuzzy implication and their properties.
• Conducted a comprehensive survey of fuzzy implication operators and their generalizations.
• Examined properties and characterizations specific to fuzzy, intuitionistic, and hesitant fuzzy implications.
• Discussed findings related to fuzzy negations and implications, focusing on identity principles and ordering properties.
• Identified key characteristics of different fuzzy implication operators.
• Established relationships between fuzzy implications and fundamental principles like the identity principle.
• Highlighted the significance of ordering properties in fuzzy implications.

Abstract