Correction to: Annals of Telecommunications.

https://doi.org/10.1007/s12243-020-00786-z

  1. 1.

    The correct citations for equations should be the below and not [4], [5], and [6] as well as the formula for eq. 2 should not be duplicated.

    Similarity of case i with the new case (Si) is computed by [1]:

$$ {\mathrm{S}}_{\mathrm{i}}=\frac{\sum_{j=1}^m\left({S}_{ji}{W}_j\right)}{m} $$
(1)

where m is the number of features considered for calculating similarities and Wj is the weight factor of feature j. Two types of data can be found in the case base: numerical data and string data. In numerical data, the similarity between feature j of case i and feature j of a new case (i.e., Sji) is calculated using the following eq. [2]:

$$ {S}_{ji}=\left(1-\sqrt{{\left(\frac{C_{ji}-{nf}_j}{\max \left({C}_j\right)-\min \left({C}_j\right)}\right)}^2}\right) $$
(2)

where Cji is the value of the jth feature of the ith case and max (Cj)–min (Cj) is the largest possible value of the jth feature.

On the other hand, in textual data, the similarity between feature j of case i and feature j of a new case (i.e., Sji) is calculated using the following eq. [3]:

$$ If\kern0.1em {C}_{ji}={nf}_{j,}\kern0.1em then\kern0.1em {S}_{ji}=1; otherwise,{S}_{ji}=0 $$
(3)
  1. 2

    In rule, the correct data should be the below:

Rule:1

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 3.0), le(?m, 4.0) ➔ (?y ns:needs_action ns:H_L-2), (?y ns:needs_action ns:R_L-1)

Rule:2

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 4.0), le(?m, 5.0) ➔ (?y ns:needs_action ns:H_L-2), (?y ns:needs_action ns:R_L-2)

Rule:3

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 5.0), le(?m, 6.0) ➔ (?y ns:needs_action ns:H_L-3), (?y ns:needs_action ns:R_L-1)

Rule:4

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 6.0), le(?m, 7.0) ➔ (?y ns:needs_action ns:H_L-3), (?y ns:needs_action ns:R_L-2)

Rule:5

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 7.0), le(?m, 8.0) ➔ (?y ns:needs_action ns:H_L-4), (?y ns:needs_action ns:R_L-3)

Rule:6

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 8.0), le(?m, 9.0) ➔ (?y ns:needs_action ns:H_L-5), (?y ns:needs_action ns:R_L-4)

Rule:7

(?y rdf:type ns:Earthquake), (?y ns:has_location ?l), (?y ns:has_magnitude ?m), ge(?m, 9.0), le(?m, 10.0) ➔ (?y ns:needs_action ns:H_L-6), (?y ns:needs_action ns:R_L-5)

  1. 3

    Two arrows missing in fig. 1, the correct fig. 1 is shown below:

Fig. 1
figure 1

Architecture of Ontology Supported Hybrid Reasoning

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