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An optimal solution of energy scheduling problem based on chance-constraint programming model using Interval-valued neutrosophic constraints

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Abstract

Neutrosophic sets have been commenced as a generalization of crisp, fuzzy and intuitionistic fuzzy sets to depict vague, incompatible and deficient information about a real world dilemma. Interval-valued fuzzy sets have widely been acknowledged as more proficient in modeling suspicions and practical in assigning an interval of values where allotting an accurate and precise number to an expert’s outlook is too restrictive. They endow with a more appropriate background to characterize higher order of uncertainties and fuzziness of real world. To solve linear programming network problems with constraints concerning interval-valued neutrosophic numbers, a technique has been established by using score function and upper and lower membership functions of interval-valued neutrosophic numbers. An application of energy scheduling problem with constraints represented as interval-valued trapezoidal neutrosophic numbers has been discussed and solved via this technique. Also an additional example to exemplify the proposed method by implementing it on minimum spanning tree and shortest path problem is employed. Furthermore, a comparative examination was performed to validate the effectiveness and usefulness of the projected methodology.

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Authors and Affiliations

  1. Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan

    Muhammad Touqeer & Rimsha Umer

  2. Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia

    Ali Ahmadian

  3. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Soheil Salahshour

  4. Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, Reggio Calabria, Italy

    Massimiliano Ferrara

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  1. Muhammad Touqeer
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  2. Rimsha Umer
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  3. Ali Ahmadian
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  4. Soheil Salahshour
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  5. Massimiliano Ferrara
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Correspondence to Ali Ahmadian.

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Touqeer, M., Umer, R., Ahmadian, A. et al. An optimal solution of energy scheduling problem based on chance-constraint programming model using Interval-valued neutrosophic constraints. Optim Eng 22, 2233–2261 (2021). https://doi.org/10.1007/s11081-021-09622-2

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  • DOI: https://doi.org/10.1007/s11081-021-09622-2

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