Issue:Intercriteria analysis: From pairs to triples

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Title of paper: Intercriteria analysis: From pairs to triples Author(s): Vassia Atanassova Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria vassia.atanassova@gmail.com Lyubka Doukovska Intelligent Systems Department, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, 2 Acad. G. Bonchev Str., Sofia 1113, Bulgaria doukovska@iit.bas.bg Alžbeta Michalíková Faculty of Natural Sciences, Matej Bel University, Tajovského 40, 974 01, Banská Bystrica, Slovakia alzbeta.michalikova@umb.sk Irina Radeva Intelligent Systems Department, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, 2 Acad. G. Bonchev Str., Sofia 1113, Bulgaria iradeva@iit.bas.bg Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 5, pages 98—110 Download:  PDF (123  Kb, File info) Abstract: As a subsequent step in the theoretical research of the decision support method of Intercriteria Analysis (ICA), the authors focus on the idea of having triples of criteria in positive consonance. For this aim, we use as an example to illustrate our research the data from the World Economic Forums’ Global Competitiveness Reports for the year 2016-2017. The work hypothesis is that, given a record of intercriteria pairs that have exhibited positive consonance over a longer period of time, triples and n-tuples of more criteria can be detected among them featuring high enough pairwise consonance. Here the algorithm is proposed to identify and rank intercriteria triples. The particular interpretation of such triple of intercriteria consonances is a matter of further investigation by problem-specific experts. Keywords: Intercriteria analysis, Intuitionistic fuzzy sets, Correlation, Consonance AMS Classification: 03E72 References: Angelova, M., Roeva, O., & Pencheva, T. (2015) InterCriteria Analysis of Crossover and Mutation Rates Relations in Simple Genetic Algorithm, Annals of Computer Science and Information Systems, 5, 419–424. Angelova, N., Atanassov, K., & Riecan, B. (2015) Intercriteria analysis of the intuition-istic fuzzy implication properties, Notes on Intuitionistic Fuzzy Sets, 21(5), 20–23. Atanassov, K., Atanassova, V., & Gluhchev, G. (2015) InterCriteria Analysis: Ideas and problems, Notes on Intuitionistic Fuzzy Sets, 21(1), 81–88. Atanassov, K., Mavrov, D., & Atanassova, V. (2014) Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. 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