Traversing and Ranking of Elements of an Intuitionistic Fuzzy Set in the Intuitionistic Fuzzy Interpretation Triangle

  • Vassia Atanassova
  • Ivelina Vardeva
  • Evdokia Sotirova
  • Lyubka Doukovska
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 401)

Abstract

In this leg of research, we explore the question of traversing and ranking elements of an intuitionistic fuzzy set in the intuitionistic fuzzy interpretation triangle. This is necessary in the light of the new developments of the InterCriteria Analysis (ICA), a decision support approach based on intuitionistic fuzzy sets and index matrices. In the ICA, from the data about the evaluations or measurements of a set of objects against a set of criteria, we perform pairwise comparisons of any two objects against each pair of criteria, and perform computations that yield in result intuitionistic fuzzy pairs of numbers in the [0; 1]-interval that give the levels of correlation between any two of the evaluation criteria. In previous works, the correlations between the criteria (hence the term ‘intercriteria’) were analysed separately, by first setting priority on either the membership, or the non-membership component, and plotting them linearly; while currently the efforts are oriented to handling both IF components simultaneously by plotting them in the plane of the intuitionistic fuzzy interpretation triangle.

Keywords

Intercriteria analysis Intuitionistic fuzzy sets Triangular geometrical interpretation of intuitionistic fuzzy sets Closure Interior 

Notes

Acknowledgments

The authors are grateful for the support provided by the National Science Fund of Bulgaria under grant DFNI-I-02-5/2014.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Vassia Atanassova
    • 1
  • Ivelina Vardeva
    • 2
  • Evdokia Sotirova
    • 2
  • Lyubka Doukovska
    • 3
  1. 1.Bioinformatics and Mathematical Modelling DepartmentIBPhBME – Bulgarian Academy of SciencesSofiaBulgaria
  2. 2.Intelligent Systems Laboratory“Prof. Dr. Asen Zlatarov” UniversityBurgasBulgaria
  3. 3.Intelligent Systems DepartmentIICT – Bulgarian Academy of SciencesSofiaBulgaria

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