Some properties of implications via aggregation functions and overlap functions

• Main Authors: H. Zapata, H. Bustince, L. De Miguel, C. Guerra
• Format: Article
• Language: English
• Published: Atlantis Press 2014-09-01
• Series: International Journal of Computational Intelligence Systems
• Subjects: Implication operator; aggregation function; negation; overlap function
• Online Access: https://www.atlantis-press.com/article/25868536.pdf
• ISSN: 1875-6883

In this work, using the identification between implication operators and aggregation functions, we study the implication operators that are recovered from overlap functions. In particular, we focus in which properties of implication operators are preserved. We also study how negations can be defined in terms of overlap functions.