scholarly journals System of Differential Equation with Initial Value as Triangular Intuitionistic Fuzzy Number and its Application

Author(s):  
Sankar Prasad Mondal ◽  
Tapan Kumar Roy
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.


Author(s):  
Sankar Prasad Mondal

In this chapter the concept of non linear intuitionistic fuzzy number is addressed. Mainly the construction of non linear intuitionistic fuzzy number whose membership function is non linear function is taken here. Finally the number is taken with partial differential equation and solve the problem.


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