A multi objective solid transportation problem in fuzzy, bi-fuzzy environment via genetic algorithm

2014 ◽  
Vol 6 (1) ◽  
pp. 4 ◽  
Author(s):  
Sutapa Pramanik ◽  
D.K. Jana ◽  
K. Maity
Keyword(s):  
Genetic Algorithm ◽  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Fuzzy Environment

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

2021 ◽  
Vol 30 (1) ◽  
pp. 620-635
Author(s):  
Hamiden Abd El-Wahed Khalifa ◽  
Pavan Kumar ◽  
Majed. G. Alharbi
Keyword(s):  
Membership Function ◽  
Transportation Problem ◽  
Programming Approach ◽  
Solid Transportation Problem ◽  
Two Stage ◽  
Multi Objective ◽  
Fuzzy Environment ◽  
The Stability ◽  
Fuzzy Cost ◽  
Necessary And Sufficient

Abstract This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients c ˜ i j k r {\tilde{c}}_{ijk}^{r} , fuzzy supply quantities a ˜ i {\tilde{a}}_{i} , fuzzy demands b ˜ j {\tilde{b}}_{j} , and/or fuzzy conveyances e ˜ k {\tilde{e}}_{k} . 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.

On Multi-Objective Multi-Item Solid Transportation Problem in Fuzzy Environment

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Hamiden Khalifa ◽  
Mohammed Elhenawy ◽  
Mahmoud Masoud ◽  
Hanif Bhuiyan ◽  
Nasser R Sabar
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Fuzzy Environment
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