Abstract
Assignment problem is the biggest significant problem in decision-making. In this paper, a novel technique is planned to discover the best possible solution to a balanced fuzzy assignment problem (FAP). We derive two formulae; one is related to the odd number of fuzzy numbers and another is related to the even number of fuzzy numbers to discover better answer from the existing answer to the FAP. Proposed technique give the best possible solution to balanced FAP in the fewer number of iteration than existing techniques. An algebraic illustration is specified to authenticate the process of proposed technique which is based on industrial environment and education domain.
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Zadeh, L.: Fuzzy set. Inf. Control 8, 338–353 (1965)
Pandian, P., Kavitha, K.: A new method for solving fuzzy assignment problems. Ann. Pure Appl. Math 1(1), 69–83 (2012)
Kadhirvel, K., Balamurugan, K.: Method for solving Hungarian assignment problems using the triangular and trapezoidal fuzzy number. Int. J. Eng. Res. Appl. (IJERA) 2(5), 399–403 (2012)
Berghman, L., Leus, R., Spieksma, F.: Optimal solutions for a dock assignment problem with trailer transportation. Ann. Oper. Res. 3–25 (2014)
Khandelwal, A.: A modified approach for assignment method. Int. J. Latest Res. Sci. Technol. 3(2), 136–138 (2014)
Nirmala, G., Anju, G.: Cost minimization assignment problem using fuzzy quantifier. Int. J. Comput. Sci. Inf. Technol. 5(6), 7948–7950 (2014)
Anuradha, D.: On solving fuzzy solid assignment problems. Int. Res. J. Eng. Technol. (IRJET) 2(5), 322–325 (2015)
Singh, J., Thakur, N.: A Novel method to solve assignment problem in fuzzy environment. Ind. Eng. Lett. 5(2), 31–35 (2015)
Frimpong, F., Owusu, A.: Allocation of classroom space using linear programming (A case study: Premier nurses training college, Kumasi). J. Econ. Sustain. Dev. 6(2), 12–19 (2015)
Ghadle, K., Pathade, P.: Optimal solution of balanced and unbalanced fuzzy transportation problem using hexagonal fuzzy number. Int. J. Math. Res. 5(2), 131–137 (2016)
Ghadle, K., Pathade, P.: An improvement to one’s BCM for balance and unbalance transshipment problem by using fuzzy numbers. Accepted Springer Book Series-Trends in Mathematics (2018)
Ghadle, K., Ingle, S.: Optimal solution of a mixed type fuzzy transportation problem. Int. J. Fuzzy Math. Arch. 15(1), 83–89 (2018)
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Ingle, S.M., Ghadle, K.P. (2020). Optimal Solution for Fuzzy Assignment Problem and Applications. In: Iyer, B., Deshpande, P., Sharma, S., Shiurkar, U. (eds) Computing in Engineering and Technology. Advances in Intelligent Systems and Computing, vol 1025. Springer, Singapore. https://doi.org/10.1007/978-981-32-9515-5_15
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DOI: https://doi.org/10.1007/978-981-32-9515-5_15
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