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Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment

Author

Listed:
  • Irfan Ali

    (Aligarh Muslim University)

  • Srikant Gupta

    (Aligarh Muslim University)

  • Aquil Ahmed

    (Aligarh Muslim University)

Abstract

In this paper, we have assumed an inventory multi-objective optimization model under intuitionistic fuzziness. In modelling, we have considered the situations where triangular intuitionistic fuzzy numbers used to express some of the input information which associated with decision variables. Further, a ranking function approach by considering linear and the nonlinear degree of membership functions have been used to obtain the crisp form of the fuzzy parameters. Finally, the fuzzy goal programming approach has been used to solve the resultant model to obtain the optimal ordering quantity. Also, a comparative study of the formulated problem under intuitionistic fuzziness has been done with a deterministic model of inventory. The concept of the paper is explained through a numerical example.

Suggested Citation

  • Irfan Ali & Srikant Gupta & Aquil Ahmed, 2019. "Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(2), pages 173-189, April.
    • Handle: RePEc:spr:ijsaem:v:10:y:2019:i:2:d:10.1007_s13198-018-0738-5
    DOI: 10.1007/s13198-018-0738-5
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    References listed on IDEAS

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    2. Habib Zare & Mahyar Kamali Saraji & Madjid Tavana & Dalia Streimikiene & Fausto Cavallaro, 2021. "An Integrated Fuzzy Goal Programming—Theory of Constraints Model for Production Planning and Optimization," Sustainability, MDPI, vol. 13(22), pages 1-15, November.

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