Pre-project publications

Atanassov, K., D. Mavrov, V. Atanassova. Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 11, 2014, 1–8, ISBN: 978-83-61551-10-2.

  • Full paper (PDF, 158 Kb) | Abstract
    A new approach for multicriteria decision making is introduced in the paper. It is called “Intercriteria decision making”. It is based on the apparatus of the index matrices and the intuitionistic fuzzy sets and can be applied for decision making in different areas of science and practice.

Atanassova, V., D. Mavrov, L. Doukovska, K. Atanassov. Discussion on the threshold values in the InterCriteria Decision Making approach. Int. J. Notes on Intuitionistic Fuzzy Sets, Volume 20, 2014, Number 2, pages 94-99, ISSN 1310-4926.

  • Full paper (PDF, 144 Kb) | Link | Abstract
    Here we discuss an important aspect of the InterCriteria Decision Making approach, related to the possibilities for defining the intuitionistic fuzzy threshold values that help discriminate between the positive consonance, the negative consonance and the dissonance between the criteria. In our previous research, we used to set thee thresholds to predefined values in the ⟦0; 1⟧-interval, changing with a step of 0.1, 0.05, or 0.025, according to the desired precision, but we have observed some flaws in this approach, and suggest new, more accurate, ways to determine these values. We use as example data sets, derived from the World Economic Forum’s annual Global Competitiveness Reports, for the 28 European Union Member States between 2008 and 2014 year.

Atanassova V., L. Doukovska, K. Atanassov, D. Mavrov – InterCriteria Decision Making Approach to EU Member States Competitiveness Analysis, Proc. of the International Symposium on Business Modeling and Software Design – BMSD’14, 24-26 June 2014, Luxembourg, Grand Duchy of Luxembourg, DOI 10.5220/0005427302890294, ISBN 978-989-758-032-1, pp. 289-294, 2014.

  • Full paper (PDF, 611 Kb) | Link | Abstract
    In this paper, we present some interesting results derived from the application of our recently developed decision making approach to data from the World Economic Forum’s Global Competitiveness Reports for the years 2008 2009 to 2013 2014. The discussed approach, called Intercriteria Decision Making, employs the apparatus of index matrices and intuitionistic fuzzy sets to produce from an existing multiobject multicriteria evaluation table a new table that contains estimations of the pairwise correlations among the set of evaluating criteria, called pillars of competitiveness. Using the described approach over the data about WEF evaluations of the state of competitiveness of the 28 present EU Member States, certain dependencies are discovered to connect the 12 pillars, termed a positive and a negative consonance. The whole research and the conclusions derived are in line with WEF s address to state policy makers to identify and strengthen the transformative forces that will drive future economic growth.

Atanassova, V., L. Doukovska, D. Mavrov, K. Atanassov. 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 322, 95-106, DOI: 10.1007/978-3-319-11313-5_9

  • Full paper (PDF, 219 Kb) | Link | Abstract
    In this paper, we present some interesting findings from the application of our recently developed InterCriteria Decision Making (ICDM) approach to data extracted from the World Economic Forum’s Global Competitiveness Reports for the years 2008–2009 to 2013–2014 for the current 28 Member States of the European Union. The developed approach which employs the apparatuses of index matrices and intuitionistic fuzzy sets is designed to produce from an existing index matrix with multiobject multicriteria evaluations a new index matrix that contains intuitionistic fuzzy pairs with the correlations revealed to exist in between the set of evaluation criteria, which are not obligatory there ‘by design’ of the WEF’s methodology but exist due to the integral, organic nature of economic data. Here, we analyse the data from the six-year period within a reasonably chosen intervals for the thresholds of the intuitionistic fuzzy functions of membership and non-membership, and make a series of observations about the current trends in the factors of competitiveness of the European Union. The whole research and the conclusions derived are in line with WEF’s address to state policy makers to identify and strengthen the transformative forces that will drive future economic growth.

Atanassova, V., L. Doukovska, D. Karastoyanov, F. Capkovic. InterCriteria Decision Making Approach to EU Member States Competitiveness Analysis: Trend Analysis. P. Angelov et al. (eds.), Intelligent Systems’2014, Advances in Intelligent Systems and Computing 322, 107-115, DOI: 10.1007/978-3-319-11313-5_10

  • Full paper (PDF, 176 Kb) | Link | Abstract
    In this paper, we continue our investigations of the newly developed InterCriteria Decision Making (ICDM) approach with considerations about the more appropriate choice of the employed intuitionistic fuzzy threshold values. In theoretical aspect, our aim is to identify the relations between the thresholds of inclusion of new elements to the set of strictly correlating criteria and the numbers of correlating pairs of criteria thus formed. We illustrate the findings with data extracted from the World Economic Forum’s Global Competitiveness Reports for the years 2008–2009 to 2013–2014 for the current 28 Member States of the European Union. The study of the findings from the considered six-year period involves trend analysis and computation of two approximating functions: a linear function and a polynomial function of 6th order. The per-year trend analysis of each of the 12 criteria, called ‘pillars of competitiveness’ in the WEF’s GCR methodology, gives an opportunity to prognosticate their values for the forthcoming year 2014–2015.

Atanassova, V., I. Vardeva. Sum- and average-based approach to criteria shortlisting in the InterCriteria Analysis. Int. J. Notes on Intuitionistic Fuzzy Sets, Volume 20, 2014, Number 4, pages 41-46, ISSN 1310-4926.

  • Full paper (PDF, 158 Kb) | Abstract
    Here we discuss an alternative approach to shortlisting the k out of n best correlating criteria at the end of the InterCriteria Analysis. We propose to use the operation ‘average-row-aggregation’, instead of ‘max-row-aggregation’ as done in previous research, and compare and discuss the results produced with both approaches. For illustration of the proposed approach, data are used from the World Economic Forum’s annual Global Competitiveness Reports, for the 28 EU member states from year 2008–2009 to year 2014–2015.

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