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Necessary and Sufficient Optimality Conditions for Fractional Interval-Valued Optimization Problems

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Decision Science in Action

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Abstract

In this paper, we consider the class of fractional interval-valued programming problems. Utilizing the concept of LU optimal solution, the solution concepts of such type of problems have been discussed. Further, the Fritz John and KKT optimality conditions for the nondifferentiable fractional interval-valued functions have also been established.

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Authors and Affiliations

  1. Faculty of Applied Sciences, The Northcap University, Gurugram, 122017, Haryana, India

    Indira P. Debnath

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    S. K. Gupta

Authors
  1. Indira P. Debnath
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  2. S. K. Gupta
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Corresponding author

Correspondence to Indira P. Debnath .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Madhu Jain

  3. Kent Business School, Centre for Logistics and Heuristic Optimization (CLHO), University of Kent, Canterbury, Kent, UK

    Said Salhi

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Debnath, I.P., Gupta, S.K. (2019). Necessary and Sufficient Optimality Conditions for Fractional Interval-Valued Optimization Problems. In: Deep, K., Jain, M., Salhi, S. (eds) Decision Science in Action. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0860-4_12

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