We have presented trapezoidal intuitionistic fuzzy number. Arithmetic operations of trapezoidal intuitionistic fuzzy number is presented based on (α, β)-cuts. We have presented intuitionistic fuzzy fault tree analysis using trapezoidal intuitionistic fuzzy number. In application of intuitionistic fuzzy fault tree analysis, we have computed failure of fire protection system taking failure of eac...

Parametric representation of fuzzy numbers (PFN) with derived methods for performing fuzzy arithmetic proves to have better accuracy and similar computational speed to using triangular fuzzy numbers (TFN). These fuzzy numbers (PFN) can be considered a special case of triangular fuzzy numbers (TFN) as they have three additional parameters and their methods for arithmetic operations are further s...

Beginning with triangular fuzzy inputs representing fuzzy ratio judgments, we experiment with two procedures to obtain fuzzy relative priorities in the Analytic Hierarchy Process. We extend the simple geometric mean and simple normalized column sum methods with fuzzy arithmetic. When the pairwise comparisons are fully consistent the methods produce identical results, but they diverge in the pre...

This paper presents a power flow algorithm to carry out load flow by analysing uncertainties. The proposed algorithm is compared with Fuzzy arithmetic to deal the effect of uncertainity. The proposed method is Interval load flow i.e. Interval Improved Fast Decoupled Power Flow (IIFDPF) that considers input parameters as interval variables and considered method is trapezoidal method have been em...

Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis ba...

This paper extends the technique for order preference by similarity to ideal solution (TOPSIS) for solving multi-attribute group decision making (MAGDM) problems under triangular intuitionistic fuzzy sets by using its correlation coefficient. In situations where the information or the data is of the form of triangular intuitionistic fuzzy numbers (TIFNs), some arithmetic aggregation operators h...