Defuzzification within a multicriteria decision model

  • Authors:

  • Serafim Opricovic;Gwo-Hshiung Tzeng

  • Affiliations:

  • Faculty of Civil Engineering, University of Belgrade, Bulevar Revolucije 73, 11000 Belgrade, Yugoslavia;Institute of Management of Technology, National Chiao Tung University, 1001 Ta Hsueh Rd, Hsinchu 300, Taiwan

  • Venue:
  • International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
  • Year:
  • 2003

Quantified Score

Hi-index 0.02

Visualization

Abstract

In many cases, criterion values are crisp in nature, and their values are determined by economic instruments, mathematical models, and/or by engineering measurement. However, there are situations when the evaluation of alternatives must include the imprecision of established criteria, and the development of a fuzzy multicriteria decision model is necessary to deal with either "qualitative" (unquantifiable or linguistic) or incomplete information. The proposed fuzzy multicriteria decision model (FMCDM) consists of two phases: the CFCS phase - Converting the Fuzzy data into Crisp Scores, and the MCDM phase - MultiCriteria Decision Making. This model is applicable for defuzzification within the MCDM model with a mixed set of crisp and fuzzy criteria. A newly developed CFCS method is based on the procedure of determining the left and right scores by fuzzy min and fuzzy max, respectively, and the total score is determined as a weighted average according to the membership functions. The advantage of this defuzzification method is illustrated by some examples, comparing the results from three considered methods.