Intuitionistic fuzzy sustainable multi-objective multi-item multi-choice step fixed-charge solid transportation problem

2021 ◽  
Author(s):  
Arijit Mondal ◽  
Sankar Kumar Roy ◽  
Sudipta Midya
Keyword(s):  
Transportation Problem ◽  
Fixed Charge ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Intuitionistic Fuzzy

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

2021 ◽  
Author(s):  
Shyamali Ghosh ◽  
Sankar Kumar Roy ◽  
Ali Ebrahimnejad ◽  
José Luis Verdegay
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Fixed Charge ◽  
Solid Transportation Problem ◽  
Accuracy Function ◽  
Intuitionistic Fuzzy Numbers ◽  
Multi Objective ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Interval Valued

AbstractDuring past few decades, fuzzy decision is an important attention in the areas of science, engineering, economic system, business, etc. To solve day-to-day problem, researchers use fuzzy data in transportation problem for presenting the uncontrollable factors; and most of multi-objective transportation problems are solved using goal programming. However, when the problem contains interval-valued data, then the obtained solution was provided by goal programming may not satisfy by all decision-makers. In such condition, we consider a fixed-charge solid transportation problem in multi-objective environment where all the data are intuitionistic fuzzy numbers with membership and non-membership function. The intuitionistic fuzzy transportation problem transforms into interval-valued problem using $$(\alpha ,\beta )$$ ( α , β ) -cut, and thereafter, it reduces into a deterministic problem using accuracy function. Also the optimum value of alternative corresponds to the optimum value of accuracy function. A numerical example is included to illustrate the usefulness of our proposed model. Finally, conclusions and future works with the study are described.

A fixed charge multi-objective solid transportation problem in random fuzzy environment

2015 ◽  
Vol 28 (6) ◽  
pp. 2643-2654 ◽  
Author(s):  
Sutapa Pramanik ◽  
Dipak Kumar Jana ◽  
Manoranjan Maiti
Keyword(s):  
Transportation Problem ◽  
Fixed Charge ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Fuzzy Environment

Multi-objective multi-item fixed-charge solid transportation problem under twofold uncertainty

2019 ◽  
Vol 31 (12) ◽  
pp. 8593-8613 ◽  
Author(s):  
Sankar Kumar Roy ◽  
Sudipta Midya ◽  
Gerhard-Wilhelm Weber
Keyword(s):  
Transportation Problem ◽  
Fixed Charge ◽  
Solid Transportation Problem ◽  
Multi Objective

scholarly journals Multi-Objective Restricted Solid Transportation Problem in Intuitionistic Fuzzy Environment with Emission Cost

2019 ◽  
Vol 8 (2S3) ◽  
pp. 722-727 ◽  
Keyword(s):  
Transportation Problem ◽  
International Energy Agency ◽  
Optimal Solution ◽  
Transport Sector ◽  
Solid Transportation Problem ◽  
Energy Agency ◽  
Multi Objective ◽  
Intuitionistic Fuzzy ◽  
Weighted Sum Method ◽  
Fuzzy Environment

Transportation plays key role in logistic and supply chain management for decreasing cost and enhances service. The transport sector contributes 23% of the total CO2 emissions in the world according to the latest estimates of the International Energy Agency (IEA).There is a direct link between weight of the quantity transported and co2 emission for the freight transport. This paper presents multi objective restricted solid transportation problem in intuitionistic fuzzy ambiance with emission cost which is based on weight of the quantity transported and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Transportation models are formulated under crisp and fuzzy environments and fuzzy models are converted into crisp using average method. The total time and emission cost based on weight of the quantity transported for restricted and unrestricted models are compared. The optimal solution is obtained by using weighted sum method and Lingo 13.0 Software. Mathematical example is given to validate the proposed mode

Uncertain multi-objective multi-item fixed charge solid transportation problem with budget constraint

2018 ◽  
Vol 23 (10) ◽  
pp. 3279-3301 ◽  
Author(s):  
Saibal Majumder ◽  
Pradip Kundu ◽  
Samarjit Kar ◽  
Tandra Pal
Keyword(s):  
Transportation Problem ◽  
Budget Constraint ◽  
Fixed Charge ◽  
Solid Transportation Problem ◽  
Multi Objective
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