scholarly journals A Profit Maximisation Solid Transportation Problem Using Genetic Algorithm in Fuzzy Environment

2021 ◽  
pp. 1-18
Author(s):  
S. Samanta ◽  
A. Ojha ◽  
B. Das ◽  
S. K. Mondal
Keyword(s):  
Genetic Algorithm ◽  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Fuzzy Environment ◽  
Profit Maximisation

Solving Intuitionistic Fuzzy Solid Transportation Problem Via New Ranking Method Based on Signed Distance

2016 ◽  
Vol 24 (04) ◽  
pp. 483-501 ◽  
Author(s):  
Shashi Aggarwal ◽  
Chavi Gupta
Keyword(s):  
Transportation Problem ◽  
Ranking Method ◽  
Mathematical Programming Problem ◽  
Solid Transportation Problem ◽  
Basic Feasible Solution ◽  
Ranking System ◽  
Intuitionistic Fuzzy Numbers ◽  
Signed Distance ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment

In this paper, signed distance of Symmetrical Intuitionistic Fuzzy Numbers (SIFNs) is introduced. Based on this signed distance and the crisp ranking system on real numbers, a new ranking system for SIFNs is defined, which seems to be very realistic. To illustrate the applicability and suitability of the proposed ranking method and to deal with ambiguity and imprecision, one of the vital mathematical programming problem viz. Solid Transportation Problem (STP) is formulated in intuitionistic fuzzy environment. A new method has been proposed to compute initial basic feasible solution for the same. Also the significance of the proposed approach over existing methods is illustrated. Finally numerical examples are solved to demonstrate the efficiency of the proposed methods.

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