Uncertain interval programming model for multi-objective multi-item fixed charge solid transportation problem with budget constraint and safety measure

2019 ◽  
Vol 24 (13) ◽  
pp. 10123-10147 ◽  
Author(s):  
Thiziri Sifaoui ◽  
Méziane Aïder
Keyword(s):  
Transportation Problem ◽  
Programming Model ◽  
Budget Constraint ◽  
Fixed Charge ◽  
Safety Measure ◽  
Solid Transportation Problem ◽  
Interval Programming ◽  
Multi Objective

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

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.

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