A Study on Uncertain Single and Multi Objective Multi Item Four Dimensional Transportation and Fractional Transportation Problems

Abstract

Optimizing decisions within uncertain contexts proves practically valuable, newlineparticularly through transportation models that occupy a crucial newlineposition in logistics. The dissertation explores the impact of technological newlineprogress on decision-making in contemporary businesses and industries, newlinehighlighting its significance for both organizations and individuals in the newlinecompetitive landscape of entrepreneurship. Uncertainty plays a pivotal newlinerole in decision-making problems, posing intriguing challenges in both definition newlineand computation. Uncertainty theory emerges as a mathematical newlineframework capable of addressing belief degrees, aligning with the innate newlineuncertainty associated with human judgment and decision-making. Optimizing newlinedecisions within uncertain contexts proves practically valuable, newlineparticularly through transportation models that occupy a crucial position newlinein logistics. newlineIn contrast to traditional transportation problems, which usually consider newlinelimited parameters like transportation cost, availability, demand, newlineand vehicle capacity, this research reflects the practical reality by encompassing newlinea broader array of factors. These factors include selling price, newlinewarehousing cost, fixed charge, loading and unloading timings, etc., which newlinedifferentiates it from the confines of traditional transportation problems newlineand the variables that encompass them newline