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<p>In this paper, a multiobjective interval fractional optimization problem (PIFP) with perturbation in the constraints is considered. The optimality conditions and the Wolfe-type duality results corresponding to (PIFP) are derived using <i>B</i>-pseudoinvexity. The saddle point criteria for Lagrangian function of the perturbed problem (PIFP) is discussed. Further, the concept of interval-valued value function with interval perturbations is introduced for (PIFP). The sensitivity analysis of solution of (PIFP) is studied using the characterization of saddle point criteria and stability analysis illustrated through a suitable example. Moreover, the importance of studying perturbation or sensitivity analysis is demonstrated by a biological phenomena.</p>

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On Interval-Valued Value Function for Fractional Optimization Problems

  • 期刊论文

  • 发表日期：

    2025年5月20日

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  • Nisha Pokharna,
  • Indira P. Tripathi

摘要

In this paper, a multiobjective interval fractional optimization problem (PIFP) with perturbation in the constraints is considered. The optimality conditions and the Wolfe-type duality results corresponding to (PIFP) are derived using B-pseudoinvexity. The saddle point criteria for Lagrangian function of the perturbed problem (PIFP) is discussed. Further, the concept of interval-valued value function with interval perturbations is introduced for (PIFP). The sensitivity analysis of solution of (PIFP) is studied using the characterization of saddle point criteria and stability analysis illustrated through a suitable example. Moreover, the importance of studying perturbation or sensitivity analysis is demonstrated by a biological phenomena.