An application of fuzzy multiple-attribute decision making model based onsimple additive weighting with triangular fuzzy numbers to distribute the decenthomes for impoverished families

Abstract

The Aceh government through a social housing refurbishment program has periodically provided decent homes for impoverished families in the last three years. However, the selection process of decent homes' recipient is currently still using assessments based on the personal judgment of a decision maker so the process becomes subjectivity and fuzziness. In order to overcome this problem, a fuzzy Multi-Attribute Decision Making (FMADM) technique can offer a solution. In this research, we apply an FMADM model based on Simple Additive Weighting (SAW) with triangular fuzzy numbers to express the fuzziness of decision making information and criteria weight. After normalizing the fuzzy decision making and criteria weight matrices, the alternative ranking process uses SAW to evaluate those two matrices where all criteria weight elements are crisp values converted from the triangular fuzzy numbers using Defuzzification of Minkowski. Furthermore, we demonstrated this model by showing a numerical example to a case study of the decent homes distribution of impoverished families in Aceh. The result shows that the model can be applied to this case study.