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Neutrosophic Fuzzy Goal Programming Algorithm for Multi-level Multiobjective Linear Programming Problems

In: Neutrosophic Operational Research

Author

Listed:
  • Firoz Ahmad

    (Aligarh Muslim University)

  • Florentin Smarandache

    (University of New Mexico)

Abstract

In this chapter, we have developed two new algorithms to solve the multi-level multiobjective linear programming problems, which is based on neutrosophic fuzzy decision set. The marginal evaluation of predetermined neutrosophic fuzzy goals for all objective functions at each level is achieved by different membership functions, such as truth, indeterminacy, and a falsity membership functions under neutrosophic environment. Also, the different membership functions of neutrosophic fuzzy goals for decision variable vectors are depicted and monitored by decision makers at leader level. In addition, the neutrosophic fuzzy goal programming algorithm is proposed to attain the highest degrees of each membership goals by reducing their deviational variables and consequently obtain the optimal solution for all the decision makers at all levels. To highlight the applicability and validity of the proposed neutrosophic fuzzy goal programming techniques in hierarchical decision-making environment, a numerical example is presented along with the conclusions.

Suggested Citation

  • Firoz Ahmad & Florentin Smarandache, 2021. "Neutrosophic Fuzzy Goal Programming Algorithm for Multi-level Multiobjective Linear Programming Problems," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 593-614, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_27
    DOI: 10.1007/978-3-030-57197-9_27
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