Research Article

A Parametric Method for Ranking Intuitionistic Fuzzy Numbers and Its Application to Solve Intuitionistic Fuzzy Network Data Envelopment Analysis Models

Table 2

Mathematical symbols utilized in the following formulas.

Mathematical symbolsMeanings

An intuitionistic fuzzy number
Membership function of
Nonmembership function of
Hesitation function of
Maximum degree of the membership function
Minimum degree of the nonmembership function
α-cut set of
-cut set of
-cut set of
The assigned function to for the selected decision level and hesitation degree
, , and Bounded monotonic decreasing left continuous functions
, , and Bounded monotonic increasing left continuous functions
Intuitionistic fuzzy efficiency score of the decision-making unit under evaluation
The ith intuitionistic fuzzy input data of the jth decision-making unit
The rth intuitionistic fuzzy output data of the jth decision-making unit
The dth intuitionistic fuzzy intermediate data of the jth decision-making unit
The given weight to intuitionistic fuzzy input data i
The given weight to intuitionistic fuzzy output data r
The given weight to intuitionistic fuzzy intermediate data d