Advertisement

Optimal Solution for Fuzzy Assignment Problem and Applications

  • Sanjivani M. IngleEmail author
  • Kirtiwant P. Ghadle
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (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.

Keywords

Balanced fuzzy assignment problem Hexagonal fuzzy numbers Pentagonal fuzzy numbers 

References

  1. 1.
    Zadeh, L.: Fuzzy set. Inf. Control 8, 338–353 (1965)CrossRefGoogle Scholar
  2. 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. 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. 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. 5.
    Khandelwal, A.: A modified approach for assignment method. Int. J. Latest Res. Sci. Technol. 3(2), 136–138 (2014)MathSciNetGoogle Scholar
  6. 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. 7.
    Anuradha, D.: On solving fuzzy solid assignment problems. Int. Res. J. Eng. Technol. (IRJET) 2(5), 322–325 (2015)Google Scholar
  8. 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. 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. 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)CrossRefGoogle Scholar
  11. 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. 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

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsDr. Babasaheb Ambedkar, Marathwada UniversityAurangabadIndia

Personalised recommendations