A green 4-dimensional multi objective transportation system for disaster relief operations under time-sequential complex fermatean framework with safety measure

Abstract

In a post-disaster response operation of a severe cyclone, like Biparjoy, the transportation of humanitarian aid (HA) is the foremost activity in the aftermath of the disaster. Here, due to the ubiquity of uncertainty in such operations, we have first devised a time-sequential complex Fermatean hesitant fuzzy set (TS-CFHFS) with all-dimensional aspects such as its structure, fundamental operations, score and accuracy function. For the transportation of HA, we have developed a multi objective multi-item green 4-dimensional transportation system under the TS-CFHF configuration. In our proposed framework, the HA from both private and public sectors is transported to distribution centers (DCs). The aid was then distributed to the disaster relief shelters (DRS) established in the affected areas. We have also incorporated several significant factors that enhance its realistic portrayal, including vehicle speed, disturbance rate, and safety while transporting HAs. The first and foremost objective is to minimize transportation time (TT), for which we have incorporated the objective vehicle speed, while other objectives are transportation cost (TC), carbon emission (CE) and job opportunities (JO) in our proposed model. To obtain the optimal solution, three approaches namely fuzzy programming (FP), global criterion method (GCM) and weighted sum technique (WST) have been utilized. The proposed model has been complemented with two specific case studies based on the nature of the safety constraints by using a numerical computation along with a comparative analysis of the results obtained by three distinct approaches that may be useful to the decision-maker to make an empirical decision that would affect emergency response actions.