### AN ALGORITHM FOR SOLVING INTUITIONISTIC FUZZY LINEAR BOTTLENECK ASSIGNMENT PROBLEMS

#### Abstract

The linear bottleneck assignment problem (LBAP), which is a variation of the classical assignment problem, seeks to minimize the longest completion time rather than the sum of the completion times when a number of jobs are to be assigned to the same number of workers. If the completion times are not certain, then it is said to be a fuzzy LBAP. Here we propose a new algorithm to solve fuzzy LBAP with completion times as intuitionistic fuzzy numbers.

#### Keywords

Fuzzy linear bottleneck assignment problem; Intuitionistic fuzzy numbers; Generalized trapezoidal intuitionistic fuzzy numbers; Ranking of fuzzy numbers.