Intuitionistic Fuzzy Interpretations of Some Formulas for Estimation of Preference Degree

  • Krassimir T. AtanassovEmail author
  • Vassia Atanassova
  • Eulalia Szmidt
  • Janusz Kacprzyk
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 357)


Two intuitionistic fuzzy interpretations of M. Fedrizzi, M. Fedrizzi and R. A. M. Pereira’s, and of V. Peneva and I. Popchev’s formulas are introduced and some of their properties are discussed.



The first two authors are thankful for the support provided by the Bulgarian National Science Fund under Grant Ref. No. DFNI-I-02-5 “InterCriteria Analysis: A New Approach to Decision Making”.


  1. 1.
    Atanassov K (2014) Index matrices: towards an augmented matrix calculus. Springer, ChamGoogle Scholar
  2. 2.
    Atanassov K, Szmidt E, Kacprzyk J (2013) On intuitionistic fuzzy pairs. Note Intuit Fuzzy Set 19(3):1–13Google Scholar
  3. 3.
    Fedrizzi M, Fedrizzi M, Pereira RAM (1999) Soft consensus and network dynamics in group decision making. Int J Intel Syst 14:63–77Google Scholar
  4. 4.
    Peneva V, Popchev I (2010) Fuzzy multi-criteria decision making algorithms. Comptes rendus de l’Academie Bulgare des Sciences 63(7):979–992zbMATHGoogle Scholar
  5. 5.
    Szmidt, E, Kacprzyk J, Atanassov K (2013) Intuitionistic fuzzy modifications of some PenevaPopchev formulas for estimation of preference degree. Part 1. Issue Intuit Fuzzy Set Generalized Net 10:12–20Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Krassimir T. Atanassov
    • 1
    • 2
    Email author
  • Vassia Atanassova
    • 1
  • Eulalia Szmidt
    • 3
    • 4
  • Janusz Kacprzyk
    • 3
    • 4
  1. 1.Department of Bioinformatics and Mathematical ModellingInstitute of Biophysics and Biomedical Engineering, Bulgarian Academy of SciencesSofiaBulgaria
  2. 2.Intelligent Systems LaboratoryProf. Asen Zlatarov UniversityBurgasBulgaria
  3. 3.Systems Research InstitutePolish Academy of SciencesWarsawPoland
  4. 4.WIT – Warsaw School of Information TechnologyWarsawPoland

Personalised recommendations