A Mediative Fuzzy Logic-Based Approach to the Goal Programming Problem: In the Context of Multi-Objective Solid Transportation Problem

Author(s):  
M. K. Sharma ◽  
Nitesh Dhiman ◽  
Kamini ◽  
Vishnu Narayan Mishra
Author(s):  
Shyamali Ghosh ◽  
Sankar Kumar Roy ◽  
Ali Ebrahimnejad ◽  
José Luis Verdegay

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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