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Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative

Author

Listed:
  • Sachin Rastogi

    (Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly 243003, UP, India)

  • Akhlad Iqbal

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, UP, India)

  • Sanjeev Rajan

    (Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly 243003, UP, India)

Abstract

In this paper, we introduce the concept and applications of gH-symmetrical derivative for interval-valued multi-objective functions, which is the generalization of generalized Hukuhara derivative (gH-derivative). By a suitable example it has been shown that gH-symmetrically derivative is an extension of gH-derivative. Furthermore, we apply this new derivative to investigate the Fritz John type optimality conditions for interval-valued multiobjective programming problems. We use LR type of order relation in this context.

Suggested Citation

  • Sachin Rastogi & Akhlad Iqbal & Sanjeev Rajan, 2022. "Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions Using gH-Symmetrical Derivative," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(03), pages 1-15, June.
    • Handle: RePEc:wsi:apjorx:v:39:y:2022:i:03:n:s0217595921500299
    DOI: 10.1142/S0217595921500299
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