A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number

2014 ◽  
Vol 26 (6) ◽  
pp. 2899-2912 ◽  
Author(s):  
Jiang-Xia Nan ◽  
Mao-Jun Zhang ◽  
Deng-Feng Li
Keyword(s):  
Fuzzy Number ◽  
Intuitionistic Fuzzy Number ◽  
Matrix Games ◽  
Intuitionistic Fuzzy ◽  
Triangular Intuitionistic Fuzzy Number

scholarly journals PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems

2019 ◽  
Vol 10 (2) ◽  
pp. 20-53 ◽  
Author(s):  
P. Senthil Kumar
Keyword(s):  
Fuzzy Number ◽  
Transportation Problem ◽  
Graphical Representation ◽  
Optimal Solution ◽  
Intuitionistic Fuzzy Number ◽  
Uncertain Environments ◽  
Transportation Problems ◽  
Intuitionistic Fuzzy ◽  
Triangular Intuitionistic Fuzzy Number ◽  
Fuzzy Optimal Solution

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.

scholarly journals Solving unbalanced intuitionistic fuzzy transportation problem

10.26524/cm61 ◽  
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Soundararajan S ◽  
Suresh Kumar M
Keyword(s):  
Approximation Method ◽  
Fuzzy Number ◽  
Transportation Problem ◽  
Optimal Solution ◽  
Intuitionistic Fuzzy Number ◽  
Numerical Example ◽  
Intuitionistic Fuzzy ◽  
Triangular Intuitionistic Fuzzy Number ◽  
Fuzzy Transportation Problem ◽  
Number Of Iterations

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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