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Optimal Solution for Fuzzy Assignment Problem and Applications

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1025))

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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References

  1. Zadeh, L.: Fuzzy set. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  2. Pandian, P., Kavitha, K.: A new method for solving fuzzy assignment problems. Ann. Pure Appl. Math 1(1), 69–83 (2012)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. Berghman, L., Leus, R., Spieksma, F.: Optimal solutions for a dock assignment problem with trailer transportation. Ann. Oper. Res. 3–25 (2014)

    Google Scholar 

  5. Khandelwal, A.: A modified approach for assignment method. Int. J. Latest Res. Sci. Technol. 3(2), 136–138 (2014)

    MathSciNet  Google Scholar 

  6. Nirmala, G., Anju, G.: Cost minimization assignment problem using fuzzy quantifier. Int. J. Comput. Sci. Inf. Technol. 5(6), 7948–7950 (2014)

    Google Scholar 

  7. Anuradha, D.: On solving fuzzy solid assignment problems. Int. Res. J. Eng. Technol. (IRJET) 2(5), 322–325 (2015)

    Google Scholar 

  8. Singh, J., Thakur, N.: A Novel method to solve assignment problem in fuzzy environment. Ind. Eng. Lett. 5(2), 31–35 (2015)

    Google Scholar 

  9. 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)

    Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. 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)

    Google Scholar 

  12. Ghadle, K., Ingle, S.: Optimal solution of a mixed type fuzzy transportation problem. Int. J. Fuzzy Math. Arch. 15(1), 83–89 (2018)

    Google Scholar 

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Correspondence to Sanjivani M. Ingle .

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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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