A linear programming method for generating the most favorable weights from a pairwise comparison matrix

2008 ◽  
Vol 35 (12) ◽  
pp. 3918-3930 ◽  
Author(s):  
Ying-Ming Wang ◽  
Celik Parkan ◽  
Ying Luo
Keyword(s):  
Linear Programming ◽  
Pairwise Comparison ◽  
Programming Method ◽  
Linear Programming Method ◽  
Pairwise Comparison Matrix ◽  
Comparison Matrix

scholarly journals Deriving Weights of Criteria from Inconsistent Fuzzy Comparison Matrices by Using the Nearest Weighted Interval Approximation

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Mohammad Izadikhah
Keyword(s):  
Goal Programming ◽  
Pairwise Comparison ◽  
Programming Method ◽  
Pairwise Comparison Matrix ◽  
Numerical Examples ◽  
Comparison Matrix ◽  
Interval Approximation ◽  
Fuzzy Pairwise Comparison

Deriving the weights of criteria from the pairwise comparison matrix with fuzzy elements is investigated. In the proposed method we first convert each element of the fuzzy comparison matrix into the nearest weighted interval approximation one. Then by using the goal programming method we derive the weights of criteria. The presented method is able to find weights of fuzzy pairwise comparison matrices in any form. We compare the results of the presented method with some of the existing methods. The approach is illustrated by some numerical examples.

Multi-Objective Fuzzy Linear Programming for Land Allocation under Different Crops in Bhagwanpur Distributary

2019 ◽  
Vol 6 (04) ◽  
Author(s):  
ASHUTOSH UPADHYAYA
Keyword(s):  
Linear Programming ◽  
Crop Production ◽  
Fuzzy Linear Programming ◽  
Programming Method ◽  
Command Area ◽  
Linear Programming Method ◽  
Net Return ◽  
Multi Objective ◽  
Labour Requirement ◽  
Canal Command Area

A study was undertaken in Bhagwanpur distributary of Vaishali Branch Canal in Gandak Canal Command Area, Bihar to optimally allocate land area under different crops (rice and maize in kharif, wheat, lentil, potato in rabi and green gram in summer) in such a manner that maximizes net return, maximizes crop production and minimizes labour requirement employing simplex linear programming method and Multi-Objective Fuzzy Linear Programming (MOFLP) method. Maximum net return, maximum agricultural production, and minimum labour required under defined constraints (including 10% affinity level of farmers to rice and wheat crops) as obtained employing Simplex method were ` 3.7 × 108, 5.06 × 107 Kg and 66,092 man-days, respectively, whereas Multi-Objective Fuzzy Linear Programming (MOFLP) method yielded compromised solution with net return, crop production and labour required as ` 2.4 × 108, 3.3 × 107Kg and 1,79,313 man-days, respectively. As the affinity level of farmers to rice and wheat crops increased from 10% to 40%, maximum net return and maximum production as obtained from simplex linear programming method and MOFLP followed a decreasing trend and minimum labour required followed an increasing trend. MOFLP may be considered as one of the best capable ways of providing a compromised solution, which can fulfill all the objectives at a time.

scholarly journals Optimal Recycling of Steel Scrap and Alloying Elements: Input-Output based Linear Programming Method with Its Application to End-of-Life Vehicles in Japan

2017 ◽  
Vol 51 (22) ◽  
pp. 13086-13094 ◽  
Author(s):  
Hajime Ohno ◽  
Kazuyo Matsubae ◽  
Kenichi Nakajima ◽  
Yasushi Kondo ◽  
Shinichiro Nakamura ◽  
...  
Keyword(s):  
Linear Programming ◽  
End Of Life ◽  
Programming Method ◽  
Alloying Elements ◽  
Steel Scrap ◽  
Input Output ◽  
Linear Programming Method
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