# InterCriteria Software Design - Graphic Interpretation within the Intuitionistic Fuzzy Triangle

### Deyan G. Mavrov, Irina Radeva, Krassimir T. Atanassov, Lyubka A. Doukovska, Ivan Kalaykov

#### Abstract

The InterCriteria Analysis (ICA) method offers an interesting new way for pairwise comparison of criteria among a set of criteria, against which a set of objects have been evaluated. This has been designed as a completely data driven method, which requires real data to practically see effect of its application. A specialized software application has been developed, which requires as input one two-dimensional array of data of the evaluation of the set of m objects against the set of n criteria, and after processing returns as output two n×n tables, the first of which contains the membership parts, and the second – the nonmembership parts of the intuitionistic fuzzy pairs that define the degrees of correlation between any two criteria in the set of criteria. Having presented the implementation of the basic ICA algorithm in (Mavrov, 2015), we present here a recently developed additional feature for graphical interpretation of the results of ICA, plotted as points in the Intuitionistic Fuzzy Interpretational Triangle, which reflects in the software application the new theoretical developments of the ICA approach, as discussed in (Atanassova, 2015).

#### References

- Atanassov, K. (1989). Geometrical interpretations of the elements of the intuitionistic fuzzy objects. Pre-print IM-MFAIS-1-89, Sofia.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg.
- Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
- Atanassov K, D. Mavrov, V. Atanassova (2014). InterCriteria decision making. A new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets. In: Issues in Intuitionistic Fuzzy Sets and Generalized Nets, vol. 11, pp. 1-8.
- Atanassova V., L. Doukovska, K. Atanassov and D. Mavrov (2014a). InterCriteria Decision Making Approach to EU Member States Competitiveness Analysis. Proc. of 4th International Symposium on Business Modeling and Software Design, 24-26 June, Luxembourg, pp. 289-294.
- Atanassova, V., L. Doukovska, D. Mavrov, K. Atanassov (2014b). InterCriteria Decision Making Approach to EU Member States Competitiveness Analysis: Temporal and Threshold Analysis. P. Angelov et al. (eds.), Intelligent Systems'2014, Advances in Intelligent Systems and Computing, vol. 322, pp. 95- 106.
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- Atanassova V., D. Mavrov, L. Doukovska and K. Atanassov (2014). Discussion on the threshold values in the InterCriteria Decision Making approach. Notes on Intuitionistic Fuzzy Sets, vol. 20, ?2, pp. 94-99.
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- Atanassova V. (2015). Interpretation in the Intuitionistic Fuzzy Triangle of the Results, Obtained by the InterCriteria Analysis, IFSA-EUSFLAT 2015, Gijon, Spain. (submitted).
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#### Paper Citation

#### in Harvard Style

Mavrov D., Radeva I., T. Atanassov K., Doukovska L. and Kalaykov I. (2015). **InterCriteria Software Design - Graphic Interpretation within the Intuitionistic Fuzzy Triangle** . In *Proceedings of the Fifth International Symposium on Business Modeling and Software Design - Volume 1: BMSD,* ISBN 978-989-758-111-3, pages 279-283. DOI: 10.5220/0005888202790283

#### in Bibtex Style

@conference{bmsd15,

author={Deyan G. Mavrov and Irina Radeva and Krassimir T. Atanassov and Lyubka A. Doukovska and Ivan Kalaykov},

title={InterCriteria Software Design - Graphic Interpretation within the Intuitionistic Fuzzy Triangle},

booktitle={Proceedings of the Fifth International Symposium on Business Modeling and Software Design - Volume 1: BMSD,},

year={2015},

pages={279-283},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005888202790283},

isbn={978-989-758-111-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fifth International Symposium on Business Modeling and Software Design - Volume 1: BMSD,

TI - InterCriteria Software Design - Graphic Interpretation within the Intuitionistic Fuzzy Triangle

SN - 978-989-758-111-3

AU - Mavrov D.

AU - Radeva I.

AU - T. Atanassov K.

AU - Doukovska L.

AU - Kalaykov I.

PY - 2015

SP - 279

EP - 283

DO - 10.5220/0005888202790283