Detailed study of uncertainty and hesitation in transportation problem

摘要

In the present paper, we deal two types of uncertainties involved in transportation problem (TP). First one comes due to objective functions of TP depending on various uncertain situations such as road conditions, traffic conditions, variation in diesel prices, and dense fog, while other one is due to decision maker face difficulties about degrees of membership and non-membership of cost of transportation, profit of transportation, time of transportation, loss during transportation present in the problem. Several models for TP-based fuzzy and intuitionistic fuzzy sets with first uncertainty are proposed in the literature, but TP with second type of uncertainty is not dealt yet. We use interval-valued intuitionistic fuzzy (IVIF) set tool to capture second type of uncertainty. The present iterative method based on the score and accuracy functions of IVIF set captures both kinds of uncertainty involved in TP with multiple objectives. The implementation of method shows the superiority of the presented approach over those of the literature from the results quality.