A compensatory fuzzy approach to multi-objective linear supplier selection problem with multiple-item

Supplier selection problem is a multi-criteria decision making problem which includes both qualitative and quantitative factors. In the selection process many criteria may conflict with each other, therefore decision-making process becomes complicated. In this paper, we propose a compensatory fuzzy approach to solve multi-objective linear supplier selection problem with multiple-item (MLSSP-MI) by using Werners’ “fuzzy and” (μand) operator. The compromise solutions obtained by using “fuzzy and” (μand) operator are both compensatory and strongly efficient for our MLSSP-MI. To our knowledge, combining compensatory (μand) operator with MLSSP-MI has not been published up to now. Our compensatory fuzzy approach was explained on a case study.

► This paper deals with the multi-objective linear supplier selection problem with multiple-item (MLSSP-MI).
► In our proposed method, Werners’ “fuzzy and” (μand) operator is used to aggregate the objectives.
► Through μand operator, a compromise, compensatory and strongly-efficient solutions is derived for (MLSSP-MI).