Papers

Topics

Authors

Recent

View all

Assistant

AI Research Assistant

Well-researched responses based on relevant abstracts and paper content.

Custom Instructions Pro

Preferences or requirements that you'd like Emergent Mind to consider when generating responses.

Gemini 2.5 Flash

Gemini 2.5 Flash 79 tok/s

Gemini 2.5 Pro 54 tok/s Pro

GPT-5 Medium 21 tok/s Pro

GPT-5 High 30 tok/s Pro

GPT-4o 98 tok/s Pro

Kimi K2 187 tok/s Pro

GPT OSS 120B 453 tok/s Pro

Claude Sonnet 4.5 37 tok/s Pro

2000 character limit reached

Residuated Multilattice as set of Truth Values for Fuzzy Rough Sets (2008.03690v1)

Published 9 Aug 2020 in math.LO

Abstract: In 2004 Anna Maria Radzikowska et al \cite{RK2004} investigated the fuzzy rough sets where the set of truth values is an arbitrary residuated lattice. In this paper, we extend their work by considering a residuated multilattice $M$ as the set of truth values. $M$-fuzzy rough sets are defined using the residuation operators provided by residuated multilattice $M$. Depending on classes of binary fuzzy relations, we define several classes of $M$-fuzzy rough sets and investigate some properties of these classes.