scholarly journals Unbalanced transportation problem with pentagonal intuitionsitic fuzzy number solved using ambiguity index

2021 ◽  
Vol 9 (1) ◽  
pp. 720-724
Author(s):  
V. Kamal Nasir ◽  
V. P. Beenu
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.


Transportation issues are fundamental for the improvement of financial matters and society. All subjects considered, the parameters of transportation troubles won't be deterministic. The powerful approach to symbolize the inaccuracy of the information is fluffy amount. in this paper, each different fluffy huge range intuitionistic triangular-trapezoidal fuzzy number (ITTFN) is proposed. The proposed fluffy range is applied to dissect the inaccuracy of the given information than the opposite fluffy numbers.. It gives the a bigger huge type of insights concerning dubiousness than triangular fluffy variety and trapezoidal fluffy range. The calculation is introduced to address fluffy transportation problem with ITTFN. The proposed technique is easy and easy without discovering IBFS. Numerical version is exhibited to exhibit the viability of proposed method.


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