A new approach to solve multi-objective multi-choice multi-item Atanassov's intuitionistic fuzzy transportation problem using chance operator

2015 ◽  
Vol 28 (2) ◽  
pp. 843-865 ◽  
Author(s):  
Dipankar Chakraborty ◽  
Dipak Kumar Jana ◽  
Tapan Kumar Roy
Sadhana ◽  
2018 ◽  
Vol 43 (1) ◽  
Author(s):  
SANKAR KUMAR ROY ◽  
ALI EBRAHIMNEJAD ◽  
JOSÉ LUIS VERDEGAY ◽  
SUKUMAR DAS

2018 ◽  
Vol 15 (01) ◽  
pp. 95-112 ◽  
Author(s):  
Abhishekh ◽  
A. K. Nishad

To the extent of our knowledge, there is no method in fuzzy environment to solving the fully LR-intuitionistic fuzzy transportation problems (LR-IFTPs) in which all the parameters are represented by LR-intuitionistic fuzzy numbers (LR-IFNs). In this paper, a novel ranking function is proposed to finding an optimal solution of fully LR-intuitionistic fuzzy transportation problem by using the distance minimizer of two LR-IFNs. It is shown that the proposed ranking method for LR-intuitionistic fuzzy numbers satisfies the general axioms of ranking functions. Further, we have applied ranking approach to solve an LR-intuitionistic fuzzy transportation problem in which all the parameters (supply, cost and demand) are transformed into LR-intuitionistic fuzzy numbers. The proposed method is illustrated with a numerical example to show the solution procedure and to demonstrate the efficiency of the proposed method by comparison with some existing ranking methods available in the literature.


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