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Issue:Interpreting the results of InterCriteria Analysis: Pareto principle at work

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http://ifigenia.org/wiki/issue:nifs/29/4/418-424
Title of paper: Interpreting the results of InterCriteria Analysis: Pareto principle at work
Author(s):
Vassia Atanassova
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
vassia.atanassova@gmail.com
Ivo Umlenski
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
ivo@biomed.bas.bg
Presented at: Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 418–424
DOI: https://doi.org/10.7546/nifs.2023.29.4.418-424
Download:  PDF (248  Kb, File info)
Abstract: The present short note aims to propose a new, alternative, way to interpret the results of the intuitionistic fuzzy sets-based method for multicriteria decision support named InterCriteria Analysis. Given an [math]\displaystyle{ m \times n }[/math] dataset of multiple (m) objects evaluated numerically against multiple (n) criteria, the ICA method generates an [math]\displaystyle{ n \times n }[/math] table of intuitionistic fuzzy pairs [math]\displaystyle{ \langle \mu_{i,j}, \nu_{i,j} \rangle, \ i, j \in {1, 2, \ldots, n} }[/math] where the given pair indicates the extent of relation between the corresponding pair of criteria [math]\displaystyle{ C_i, C_j }[/math]. Traditionally, the interpretation of these intuitionistic fuzzy pairs regarding the extent of positive or negative dependence between two criteria (or, respectively, the lack of such) requires that two threshold values, both in the [0,1] interval too, are used. Now we propose to use only one such threshold value belonging to the [0,1] interval, for instance a minimal threshold of the degree of membership, while the other threshold would be essentially related to the size of the subset of intercriteria pairs being shortlisted for interpretation, rather than their degree of non-membership. We justify that the proposed approach, inspired by the Pareto Principle, in certain cases yields better results than the traditionally used one.
Keywords: Intuitionistic fuzzy sets, InterCriteria Analysis, Pareto Principle, Power law.
AMS Classification: 03E72.
References:
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International Publishing, Switzerland.

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