Uncertain multi-objective multi-product solid transportation problems

Abstract

The solid transportation problem is an important generalization of the classical transportation problem as it also considers the conveyance constraints along with the source and destination constraints. The problem can be made more effective by incorporating some other factors, which make it useful in real life situations. In this paper, we consider a fully fuzzy multi-objective multi-item solid transportation problem and present a method to find its fuzzy optimal-compromise solution using the fuzzy programming technique. To take into account the imprecision in finding the exact values of parameters, all the parameters are taken as trapezoidal fuzzy numbers. A numerical example is solved to illustrate the methodology.

Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem

“…To solve our proposed multi-objective model, there exist various fuzzy and non-fuzzy techniques. Fuzzy techniques are FP [21], IFP [24], Fuzzy GP [9], etc., and non-fuzzy techniques are utility function approach [14], conic scalarization approach [23], multi-choice programming [22], multi-choice GP [16], simplex algorithm [6], standard linear programming [7]…”

“…Das et al [5] provided a green STP-location problem with multiple objectives that analyzed by fuzzy and nonfuzzy techniques for carbon emission tax, cap, and offset policy including an extra condition as dwell time in type-2 IF environment. Rani and Gulati [21] proposed STP with uncertain environment.…”

Uncertain Multi Level Four Dimensional Multi Item Fractional Transportation Problem

“…The interactive goal programming method for solving generalised STP was proposed by Acharya et al [14]. The optimal solution for the fully fuzzy multi objective multi item STP was proposed by Deepika Rani and Gulati [15]. Dheyab [16] developed a solving procedure for fuzzy linear fractional programming problem using linear ranking function.…”

A study on uncertain fixed charge bi-objective 4-dimensional transportation problems under budget constraints

“…The best candidate method to obtain the optimal solution of mixed constraint TP was presented by Pathade et al [20]. Rani and Gulati [21] presented a method for obtaining the best compromise for the completely fuzzy, multi-object, multi-object fixed transport problem (FFMOMISTP).…”