A linguistic approach to time series modeling with the help of F-transform

New results on redundancies of fuzzy/linguistic IF-THEN rules

“…roughly, more or less, etc. In the following text, we, without loss of generality, use the hedges introduced in Table 1 that were successfully used in real applications [8] and that are implemented in the LFLC software package [15]. As a special case, the ⟨linguistic hedge⟩ can be empty.…”

“…The choice of perception depends on the topic of the specified linguistic description. In other words, perception is always chosen among evaluative expressions which occur in antecedents of IF-THEN rules, see [6,8,12].…”

“…Let us consider a linguistic description LD and let us be given an observation u 0 in a given context w ∈ W . Let C be the conclusion derived from u 0 based on LD using the rule of perception based logical deduction given by (8). Then this fact will be denoted by…”

“…But, for our so-called linguistic approach originated by V. Novák [6] these questions were not adequately investigated. We were able to successfully apply our linguistic approach in analysis and forecasting of time series [7,8], decision making [9] or data mining [10]. We found out that this approach has distinct advantages in good interpretability, great robustness, foundations in a strong formal logical system etc.…”

A Novel Forecasting Method Based on F-Transform and Fuzzy Time Series

“…In a time series analysis and forecast, the use of F-transform and inverse F-transform has been reported in many studies [22,23,[36][37][38]41]. In some studies, the F-transform was used to extract a low-frequency trend component [23,36,37], whereas it was used for the modeling of an autoregression function in [22].…”