Soft Computing

, Volume 23, Issue 10, pp 3229–3235 | Cite as

Transformations between the center of gravity and the possibilistic mean for triangular and trapezoidal fuzzy numbers

  • Pasi Luukka Email author
  • Jan Stoklasa
  • Mikael Collan


In this paper, we examine the concept of center of gravity and its relationship to the concept of possibilistic mean. We propose new transformations between the center of gravity and the possibilistic mean for triangular and trapezoidal fuzzy numbers.


Center of gravity Fuzzy number Possibilistic mean Transformation 



The research presented in this paper was partially supported by the Grant IGA_FF_2017_011 of the internal grant agency of Palacký University Olomouc.

Compliance with ethical standards

Conflict of interest

All the authors declare that they have no conflict of interest.

Human and animal rights

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Business and ManagementLappeenranta University of TechnologyLappeenrantaFinland
  2. 2.Department of Applied Economics, Faculty of ArtsPalacký UniversityOlomoucCzech Republic

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