Hybrid Connection Between Fuzzy Rough Sets and Ordered Fuzzy Numbers

Abstract

Ordered Fuzzy Numbers (OFN) provide the ability of modeling data which is united with its trend. This paper presents a proposition of connecting the OFN model with the concept of information granules built as fuzzy rough sets. The procedure for gathering data and converting them into OFN is a new way of looking at transforming time series of sensor readings into granules. The introduction of the method is supported by an illustrative example. The introduced procedure for calculating similarity between OFNs allows hybridization with fuzzy rough set approach and derivation of lower and upper approximations of concepts.