Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com
Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

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

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
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, 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:
  1. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  2. 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. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1–8.
  3. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  4. Atanassova, V. (2017). New Modified Level Operator Nγ Over Intuitionistic Fuzzy Sets. In: Flexible Query Answering Systems. FQAS 2017. (Christiansen, H., Jaudoin, H., Chountas, P., Andreasen, T., Legind Larsen, H. (eds)). Lecture Notes in Computer Science, vol 10333. Springer, Cham. https://doi.org/10.1007/978-3-319-59692-1 18.
  5. Atanassova V., & Doukovska, L. (2019). Business Dynamism and Innovation Capability in the European Union Member States in 2018 through the Prism of InterCriteria Analysis. Proceedings of the 13th International Conference on Flexible Query Answering System – FQAS’19, July 2-5, 2019, Amantea, Italy, In: Cuzzocrea A., Greco S., Larsen H., Sacca D., Andreasen T., Christiansen H. (Eds.) Springer, Cham, Lecture Notes in Computer Science, Vol. 11529, 339-349, Springer International Publishing, Switzerland.
  6. Atanassova, V., & Roeva, O. (2018). Computational complexity and influence of numerical precision on the results of intercriteria analysis in the decision making process. Notes on Intuitionistic Fuzzy Sets, 24(3), 53–63.
  7. Chorukova, E., Marinov, P., & Umlenski, I. (2020). Survey on Theory and Applications of InterCriteria Analysis Approach. In:- Research in Computer Science in Bulgarian Academy of Sciences (K. Atanassov, Ed.), Springer, Cham, 453–469.
  8. Doukovska L., & Atanassova, V.(2019). InterCriteria Analysis of the Most Problematic Factors for Doing Business in the European Union 2017-2018. Proceedings of the 13th International Conference on Flexible Query Answering Systems – FQAS’19, July 2-5, 2019, Amantea, Italy, In: Cuzzocrea A., Greco S., Larsen H., Sacca D., Andreasen T., Christiansen H. (Eds.) Springer, Cham, Lecture Notes in Computer Science, Vol. 11529, 353-363, Springer

International Publishing, Switzerland.

  1. Doukovska, L., Atanassova, V., Sotirova, E., Vardeva, I., & Radeva, I. (2019). Defining Consonance Thresholds in InterCriteria Analysis – An Overview. In: Hadjiski, M., & Atanassov, K. (eds.). Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications. Studies in Computational Intelligence, vol 757, pp. 161-179. Springer, Cham.
  2. Ikonomov, N., Vassilev, P., & Roeva, O. (2018). ICrAData – Software for InterCriteria Analysis. International Journal Bioautomation, 22(1), 1–10.
  3. Ikonomov, N., Vassilev, P., & Marinov, E. (2019–2020). A short note on VisICrA: A prototype of a program for visualization of the results on InterCriteria Analysis. Annual of the “Informatics” Section, Union of Scientists in Bulgaria, 10, 61–65 (in Bulgarian).
  4. Koch, R. (1999). The 80/20 Principle: The Secret to Achieving More with Less (3rd Ed.). Crown Currency, ISBN 9780385491747.
  5. Mavrov, D. (2015). Software for InterCriteria Analysis: Implementation of the main algorithm. Notes on Intuitionistic Fuzzy Sets, 21(2), 77–86.
  6. Mavrov, D., Radeva, I., Capkovic, F., & Doukovska, L. (2015). Software for InterCriteria Analysis: Graphic Interpretation within the Intuitionistic Fuzzy Triangle. Proceedings of 5th International Symposium on Business Modeling and Software Design, 6–8 July 2015, Milano.
  7. Wikipedia contributors. (2023, December 3). Pareto principle. Wikipedia, The Free Encyclopedia. Retrieved from https://en.wikipedia.org/w/index.php?title=Pareto_principle&oldid=1188123472.
  8. Zoteva, D., & Roeva, O. (2018). InterCriteria Analysis results based on different number of objects. Notes on Intuitionistic Fuzzy Sets, 24(1), 110–119.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Interpreting_the_results_of_InterCriteria_Analysis:_Pareto_principle_at_work&oldid=11817"