Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem
MetadataShow full item record
Fixed-Charge transportation problemFuzzy programmingIntuitionistic fuzzy programmingGoal programmingMulti-objective decision-makingPareto-optimal solution
Ghosh, S., Roy, S. K., Ebrahimnejad, A., & Verdegay, J. L. (2021). Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem. Complex & Intelligent Systems, 1-15. [https://doi.org/10.1007/s40747-020-00251-3]
SponsorshipPortuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia"), through the CIDMA-Center for Research and Development in Mathematics and Applications UID/MAT/ 04106/2019; Spanish Ministry of Economy and Competitiveness, FEDER funds from the European Union TIN2014-55024-P TIN2017-86647-P
During 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 (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.