Assignment problem (AP) is an entrenched tool for solving engineering and management problems. &e Hungarian method is
always used to fathom the AP in crisp cases. &is paper presents an algorithm of finding the optimum solution of the fuzzy AP by
using the modified Hungarian method. &is method is utilized to get a minimum assignment cost in the fuzzy environment for a
fuzzy AP. Firstly, we use the fuzzy numbers without any transformation. Secondly, the fuzzy AP is transformed into an interval AP
based on the α-cut methodology. &en, the interval arithmetic operations and the order relations are applied to get the optimal
solution by utilizing the modified Hungarian method. &e proposed algorithm requires less efforts and time to reach optimality,
compared to the existing methods. Numerical examples are given to ensure the efficiency and the validity of the proposed
algorithm. A study on the reuse of many valuable buildings is presented after using different government and service buildings in a
manner that does not fit with its original function and heritage value. We offer a solution based on the scientific and realistic basis
for requalification according to the variables and requirements of the social, cultural, and economic environments in the environment
surrounding the valuable buildings. |
