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


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.

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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.

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Correspondence to Pasi Luukka .

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Luukka , P., Stoklasa, J. & Collan, M. Transformations between the center of gravity and the possibilistic mean for triangular and trapezoidal fuzzy numbers. Soft Comput 23, 3229–3235 (2019). https://doi.org/10.1007/s00500-018-3204-z

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  • Center of gravity
  • Fuzzy number
  • Possibilistic mean
  • Transformation