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Multi-Objective Interval-Valued Neutrosophic Optimization with Application

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Abstract

This article dealt data from real life applications in interval neutrosophic environment. The proposed approach work on the principle that the decision set is the confluence of objectives and constraints while membership functions are defined according to the aspiration of decision-maker. Since current work discusses the interval neutrosophic optimization, therefore, the aspiration levels for interval-valued true, interval-valued falsity and interval-valued indeterminacy solely depends on the confluence criteria and algebra of interval neutrosophic sets. Denominators of each membership function are chosen so that it expresses the limit of the probable violation of the inequalities given in the problem. Several real life applications are given to justify the legitimacy, applicability and validity of proposed approach and a comparative study has been made between newly proposed and existed techniques. Conclusion which has been drawn based on that relative examination and results not only open research gateway in optimization but also in information fusion, decision-making and statistics.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

    Sumbal Khalil, Sajida Kousar & Gul Freen

  2. NUST Business School (NBS), National University of Sciences and Technology, Islambad, Pakistan

    Muhammad Imran

Authors
  1. Sumbal Khalil
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  2. Sajida Kousar
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  3. Gul Freen
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  4. Muhammad Imran
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Correspondence to Sajida Kousar.

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Khalil, S., Kousar, S., Freen, G. et al. Multi-Objective Interval-Valued Neutrosophic Optimization with Application. Int. J. Fuzzy Syst. 24, 1343–1355 (2022). https://doi.org/10.1007/s40815-021-01192-w

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  • DOI: https://doi.org/10.1007/s40815-021-01192-w

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