A NEW APPROACH USING FUZZY PROGRAMMING TO SOLVE THE MULTI-OBJECTIVE ASSIGNMENT PROBLEM
We present that a multi-objective assignment problem can be solved using fuzzy programming. The method includes fuzzy membership function obtained for all objectives and then taking the average of all membership values. Compared to other techniques of solving the multi-objective assignment problem, the solution found using this method is more effective.
multi-objective assignment problem (MOAP), fuzzy logic.
Received: September 8, 2023; Accepted: November 9, 2023; Published: December 2, 2023
How to cite this article: Malati Yeola, A new approach using fuzzy programming to solve the multi-objective assignment problem, Advances in Fuzzy Sets and Systems 28(2) (2023), 65-76. http://dx.doi.org/10.17654/0973421X23004
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. K. Bit, M. P. Biswal and S. S. Alam, Fuzzy programming approach to multicriteria decision making transportation problem, Fuzzy Sets and Systems 50(2) (1992), 135-141. doi: 10.1016/0165-0114(92)90212-M.[2] M. M. Rahman, Solving multi-objective assignment problem with decision maker’s preferences by using genetic algorithm, Khulna University of Engineering and Technology (KUET), Khulna, Bangladesh, 2019.[3] M. Jayalakshmi and V. Sujatha, A new algorithm to solve multi-objective assignment problem, Int. J. Pure Appl. Math. 119(16) (2018), 719-724.[4] L. Belhoul, L. Galand and D. Vanderpooten, An efficient procedure for finding best compromise solutions to the multi-objective assignment problem, Comput. Oper. Res. 49 (2014), 97-106. doi: 10.1016/j.cor.2014.03.016.[5] K. Singh and S. Rajan, Matrix maxima method to solve multi-objective transportation problem with a Pareto optimality criteria, Int. J. Innov. Technol. Explor. Eng. 8(11) (2019), 1929-1932. doi: 10.35940/ijitee.K2134.0981119.[6] A. M. K. Hammadi, Solving multi objective assignment problem using tabu search algorithm, Glob. J. Pure. Appl. Math. 13(9) (2017), 4747-4764.[7] L. Yang and B. Liu, A multi-objective fuzzy assignment problem: new model and algorithm, Presented at the 14th IEEE International Conference on Fuzzy Systems, FUZZ’05, 2005, pp. 551-556.[8] R. S. Porchelvi and M. Anitha, An algorithm to solve multi objective assignment problem using fuzzy programming technique, Int. J. Curr. Res. Mod. Educ. 3(1) (2018), 363-367.[9] P. K. De and B. Yadav, An algorithm to solve multi-objective assignment problem using interactive fuzzy goal programming approach, Int. J. Contemp. Math. Sci. 6(34) (2011), 1651-1662.[10] S. Kar, A. Samanta and K. Basu, Solution of fuzzy multi objective generalized assignment problem, Int. J. Math. Oper. Res. 15(1) (2019), 33-54.doi: 10.1504/IJMOR.2019.101611.[11] C.-P. Bao, M. Tsai and M. I. Tsai, A new approach to study the multi-objective assignment problem, WHAMPOA-Interdiscip. J. 53 (2007), 123-132.[12] V. Yadaiah and V. V. Haragopal, Multi-objective optimization of time-cost-quality using Hungarian algorithm, Am. J. Oper. Res. 6(1) (2016), 31-35.doi: 10.4236/ajor.2016.61005.[13] P. K. Gupta and D. S. Hira, Operations Research, 7th ed., S. Chand Publishing, New Delhi, 2018.[14] M. C. Yeola and V. A. Jadhav, Solving multi-objective transportation problem using fuzzy programming technique-parallel method, Int. J. Recent Sci. Res. 7(1) (2016), 8455-8457.