DECISION-MAKING BASED ON FUZZY SAW METHOD AND MELLIN TRANSFORM Cover Image

PODEJMOWANIE DECYZJI Z WYKORZYSTANIEM ROZMYTEJ METODY SAW I TRANSFORMATY MELLINA
DECISION-MAKING BASED ON FUZZY SAW METHOD AND MELLIN TRANSFORM

Author(s): Dariusz Kacprzak, Katarzyna Rudnik
Subject(s): Economy, Business Economy / Management, Methodology and research technology
Published by: Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
Keywords: Fuzzy Multi Attribute Decision Making FMADM; fuzzy numbers; fuzzy SAW method; Mellin transform;

Summary/Abstract: The paper presents the use of Mellin transform to compare fuzzy numbers in the FSAW method. The Mellin transform uses the probability density function (PDF) associated with the fuzzy number. The PDF is calculated with the proportional transformation. The proposed method allows to rank fuzzy numbers based on statistical measures (the mean and the variance). In particular, the mathematical relations for the triangular fuzzy numbers are presented. A numerical example of the fuzzy multi-criteria decision-making is illustrated.

  • Issue Year: XVI/2015
  • Issue No: 3
  • Page Range: 141-150
  • Page Count: 10
  • Language: Polish