Fuzzy Soft Set Based Multiobjective Fuzzy Transportation Problem Involving Carbon Emission Cost Linked With The Travelling Distance

Abstract

Each day, the actuality in the global shipment process creates numerous challenges for the marketing channels. A flawless and profitable forethought is demanded every time owing to the non-deterministic behaviour of supply, demand, cost, time etc. The major characteristics of transport including the service characteristics, modes of transport, traffic characteristics have a greater influence in the supply chain. The ignorance of such parameters mask the differences in the demand and distribution of commoditiescausing a loss in the business. Such a difficulty can be managed with the use of soft sets which considers the decision makers desired parameters and figure out the ambiguity in them. Fuzzy set theory is merged with soft sets to deal with imprecise or vague data corresponding to each parameter.In this paper, a fuzzy soft set based model is investigated  to resolve the multi-objective fuzzy transportation problem with parametric ambiguity. Also, in the recent times transportation systems have reported greater impacts on the environment and so it is necessary keep down the global greenhouse gas emissions from the trade and commerce. Thus, a case study with transportation cost, transportation time and carbon emission cost for the travelling distancewith respect to three different modes of transport is cumulated and the proposed model is vindicated.Finally, it is solved using FuzzyProgramming approach(FPA), Intutionistic Fuzzy Programming Approach(IFPA) and Pythagorean Fuzzy Programming Approach(PFPA) in LINGO(19.0) and the results are concluded.