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## Degree-of-support/disproof, consistencies, coverages

version 2.0.0.1 (3.36 KB) by
Calculation of the Degree-of-support/disproof table for a fuzzy rule, its consistency and coverage (also their new F2, F3 and F4 versions)

Updated 30 Mar 2020

A function that calculates the degree-of-suport and degree-of-disproof table as presented in:
Stoklasa, J., Luukka, P., & Talášek, T. (2017). Set-theoretic methodology using fuzzy sets in rule extraction and validation - consistency and coverage revisited. Information Sciences, 412-413, 154–173. http://doi.org/10.1016/j.ins.2017.05.042, table 6

Four different consistency and coverage measures for the rules are also computed (F2 and F3 presented in Stoklasa et al. (2017), F4 introduced in Stokasa et al. (2018)). The outputs are stored in the specified excel file.

Calling of the function:
[output,other]=FullSupDispTable(data,filename,sheet)

Inputs:
- data: n x 2 matrix. First column has membership degrees to A and second to B
- filename: deired name of the excel file with outputs
- sheet: number of the shhet in the given file where the outputs should be saved

Outputs
- output: a 11 x 2 matrix of the degree-of-support and degree-of-disproof values for alpha from 1 to 0 by 0.1
- other: a 2 x 8 vector [Consistency1, Coverage1, Consistency2, Coverage2, Consistency3, Coverage3, Consistency4, Coverage 4;
NConsistency1, NCoverage1, NConsistency2, NCoverage2, NConsistency3, NCoverage3, NConsistency4, NCoverage4] - first row is consistencies and coverages of A=>B, second row for A=>B'
PLUS all the results + a degree-of-support and degree-of-disproof table are saved in the specified excel file

References:
Stoklasa, J., Luukka, P., & Talášek, T. (2017). Set-theoretic methodology using fuzzy sets in rule extraction and validation - consistency and coverage revisited. Information Sciences, 412–413, 154–173. https://doi.org/10.1016/j.ins.2017.05.042

Stoklasa, J., Talášek, T., & Luukka, P. (2018). On consistency and coverage measures in the fuzzified set-theoretic approach for social sciences: dealing with ambivalent evidence in the data. In L. Váchová & O. Kratochvíl (Eds.), Proceedings of the 36th International Conference on Mathematical Methods in Economics (pp. 521–526). Jindřichův Hradec: MatfyzPress.

### Cite As

Jan Stoklasa (2021). Degree-of-support/disproof, consistencies, coverages (https://www.mathworks.com/matlabcentral/fileexchange/63988-degree-of-support-disproof-consistencies-coverages), MATLAB Central File Exchange. Retrieved .