scholarly journals Triangular intuitionistic fuzzy number theory for driver-pedestrians interactions and risk exposure modeling

2017 ◽  
Vol 109 ◽  
pp. 148-155
Author(s):  
Meriem Mandar ◽  
Lamia Karim ◽  
Azedine Boulmakoul ◽  
Ahmed Lbath
Author(s):  
P. Senthil Kumar

In this article, the author categorises the solid transportation problem (STP) under uncertain environments. He formulates the mixed and fully intuitionistic fuzzy solid transportation problems (FIFSTPs) and utilizes the triangular intuitionistic fuzzy number (TIFN) to deal with uncertainty and hesitation. The PSK (P. Senthil Kumar) method for finding an intuitionistic fuzzy optimal solution for fully intuitionistic fuzzy transportation problem (FIFTP) is extended to solve the mixed and type-4 IFSTP and the optimal objective value of mixed and type-4 IFSTP is obtained in terms of triangular intuitionistic fuzzy number (TIFN). The main advantage of this method is that the optimal solution of mixed and type-4 IFSTP is obtained without using the basic feasible solution and the method of testing optimality. Moreover, the proposed method is computationally very simple and easy to understand. Finally, the procedure for the proposed method is illustrated with the help of numerical examples which is followed by graphical representation of the finding.


10.26524/cm61 ◽  
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Soundararajan S ◽  
Suresh Kumar M

In this paper, we find the optimal solution for an unbalanced intuitionistic fuzzy transportation problem by using monalisha’s approximation method. The main aim of this method is to avoid large number of iterations. To illustrate this method a numerical example Triangular intuitionistic fuzzy number, unbalanced intuitionistic fuzzy transportation problem, accuracy function.is given.


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