Clement-Moreau-Info/FTH

Code lab of the paper : A Fuzzy Generalisation of the Hamming Distance for Temporal Sequences -- FuzzIEEE21

The Fuzzy temporal Hamming distance

From the paper :

• A Fuzzy Generalisation of the Hamming Distance for Temporal Sequences

C Moreau, T Devogele, C de Runz, V Peralta, E Moreau, L Etienne Fuzz-IEEE, 2021

--

About parameters:

Beta variable

---

Beta variable controls the frontiers of the fuzzy membership function.

Beta -> ∞ <=> All symbols in sequences are taken into account in sequences.

Beta -> 0 <=> Hamming distance

Sim function

---

The sim:Σ x Σ -> [0,1] function defined the similarity between all symbols in the alphabet of sequences Σ.

Basicaly, we can use the trival distance function.

The Wu-Palmer similarity function used a knowledge graph (i.e., ontology) for symbol comparison. An example of graph structure is given in the file "ontology_emd.txt".

Interval_step variable

---

Granularity of the time interval I according to the defined unit of time. By default 5 minutes