On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment

This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients , fuzzy supply quantities , fuzzy demands , and/or fuzzy conveyances . The fuzzy efficient concept is introduced in which the crisp efficient solution is extended. A ne...

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Bibliographic Details
Published in:Journal of intelligent systems 2021-01, Vol.30 (1), p.620-635
Main Authors: Khalifa, Hamiden Abd El-Wahed, Kumar, Pavan, Alharbi, Majed. G.
Format: Article
Language:English
Subjects:
fuzzy efficient solution
Fuzzy logic
fuzzy number
fuzzy programming
Fuzzy sets
Inventory control
Linear programming
Mathematical programming
Mathematics
multi-objective
optimality
Parametric statistics
parametric study
solid transportation problem
Transportation problem
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Summary:This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients , fuzzy supply quantities , fuzzy demands , and/or fuzzy conveyances . The fuzzy efficient concept is introduced in which the crisp efficient solution is extended. A necessary and sufficient condition for the solution is established. Fuzzy geometric programming approach is applied to solve the crisp problem by defining membership function so as to obtain the optimal compromise solution of a multi-objective two-stage problem. A linear membership function for the objective function is defined. The stability set of the first kind is defined and determined. A numerical example is given for illustration and to check the validity of the proposed approach.
ISSN:2191-026X
0334-1860
2191-026X
DOI:10.1515/jisys-2020-0095