Optimization of fuzzy bi-objective fractional assignment problem

Gupta, Neha

doi:10.1007/s12597-019-00367-2

Cited by 6 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a general AP, "n" works are to be performed by "n" people depending on their efficiency to do the job in one-one basis such that the assignment cost is minimum or maximum [24,34]. If the objective of an AP is to minimize fuzzy cost c ij , then we provide the AP of n × n matrix each cell having a fuzzy number in Table 1.…”

Section: Fuzzy Assignment Problemmentioning

confidence: 99%

“…In most of the real-world problems, the parameters such as cost, time, and profit may not be precisely known in advance due to several uncontrollable factors such as human judgements and market fluctuations. In such situations, considering the values of uncertain parameters as fuzzy numbers or interval numbers is better than to approximate them as crisp values [21][22][23][24][25]. is led us to introduce the fuzzy AP that we transform into an interval AP.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Using Interval Operations in the Hungarian Method to Solve the Fuzzy Assignment Problem and Its Application in the Rehabilitation Problem of Valuable Buildings in Egypt

2020

View full text Add to dashboard Cite

Assignment problem (AP) is an entrenched tool for solving engineering and management problems. The Hungarian method is always used to fathom the AP in crisp cases. This paper presents an algorithm of finding the optimum solution of the fuzzy AP by using the modified Hungarian method. This 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. Then, the interval arithmetic operations and the order relations are applied to get the optimal solution by utilizing the modified Hungarian method. The 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.

show abstract

Section: Fuzzy Assignment Problemmentioning

confidence: 99%