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A Comprehensive Bibliometric Analysis of Fractional Programming (1965–2020)

Author

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  • Mehdi Toloo

    (Department of Business Transformation, Surrey Business School, University of Surrey, Guildford GU2 7XH, UK
    Department of Systems Engineering, Faculty of Economics, VŠB-Technical University of Ostrava, Sokolská třida 33, 702 00 Ostrava, Czech Republic
    Department of Operations Management & Business Statistics, College of Economics and Political Science, Sultan Qaboos University, Muscat P.O. Box 50, Oman)

  • Rouhollah Khodabandelou

    (Department of Instructional & Learning Technologies, College of Education, Sultan Qaboos University, Muscat P.O. Box 50, Oman)

  • Amar Oukil

    (Department of Operations Management & Business Statistics, College of Economics and Political Science, Sultan Qaboos University, Muscat P.O. Box 50, Oman)

Abstract

Fractional programming (FP) refers to a family of optimization problems whose objective function is a ratio of two functions. FP has been studied extensively in economics, management science, information theory, optic and graph theory, communication, and computer science, etc. This paper presents a bibliometric review of the FP-related publications over the past five decades in order to track research outputs and scholarly trends in the field. The reviews are conducted through the Science Citation Index Expanded (SCI-EXPANDED) database of the Web of Science Core Collection (Clarivate Analytics). Based on the bibliometric analysis of 1811 documents, various theme-related research indicators were described, such as the most prominent authors, the most commonly cited papers, journals, institutions, and countries. Three research directions emerged, including Electrical and Electronic Engineering, Telecommunications, and Applied Mathematics.

Suggested Citation

  • Mehdi Toloo & Rouhollah Khodabandelou & Amar Oukil, 2022. "A Comprehensive Bibliometric Analysis of Fractional Programming (1965–2020)," Mathematics, MDPI, vol. 10(11), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1796-:d:822821
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    References listed on IDEAS

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    1. van Eck, Nees Jan & Waltman, Ludo, 2014. "CitNetExplorer: A new software tool for analyzing and visualizing citation networks," Journal of Informetrics, Elsevier, vol. 8(4), pages 802-823.
    2. Chaomei Chen, 2006. "CiteSpace II: Detecting and visualizing emerging trends and transient patterns in scientific literature," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 57(3), pages 359-377, February.
    3. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    4. Garfield, Eugene, 2009. "From the science of science to Scientometrics visualizing the history of science with HistCite software," Journal of Informetrics, Elsevier, vol. 3(3), pages 173-179.
    5. Batyr Orazbayev & Ainur Zhumadillayeva & Kulman Orazbayeva & Sandugash Iskakova & Balbupe Utenova & Farit Gazizov & Svetlana Ilyashenko & Olga Afanaseva, 2022. "The System of Models and Optimization of Operating Modes of a Catalytic Reforming Unit Using Initial Fuzzy Information," Energies, MDPI, vol. 15(4), pages 1-25, February.
    6. Mehdi Toloo, 2021. "An Equivalent Linear Programming Form of General Linear Fractional Programming: A Duality Approach," Mathematics, MDPI, vol. 9(14), pages 1-9, July.
    7. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    8. Nees Jan Eck & Ludo Waltman, 2010. "Software survey: VOSviewer, a computer program for bibliometric mapping," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(2), pages 523-538, August.
    9. Ole Ellegaard & Johan A. Wallin, 2015. "The bibliometric analysis of scholarly production: How great is the impact?," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 1809-1831, December.
    10. Olle Persson & Wolfgang Glänzel & Rickard Danell, 2004. "Inflationary bibliometric values: The role of scientific collaboration and the need for relative indicators in evaluative studies," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 421-432, August.
    11. Alberto Martín-Martín & Mike Thelwall & Enrique Orduna-Malea & Emilio Delgado López-Cózar, 2021. "Google Scholar, Microsoft Academic, Scopus, Dimensions, Web of Science, and OpenCitations’ COCI: a multidisciplinary comparison of coverage via citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(1), pages 871-906, January.
    12. Anne-Wil Harzing, 2019. "Two new kids on the block: How do Crossref and Dimensions compare with Google Scholar, Microsoft Academic, Scopus and the Web of Science?," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(1), pages 341-349, July.
    13. Alberto Martín-Martín & Mike Thelwall & Enrique Orduna-Malea & Emilio Delgado López-Cózar, 2021. "Correction to: Google Scholar, Microsoft Academic, Scopus, Dimensions, Web of Science, and OpenCitations’ COCI: a multidisciplinary comparison of coverage via citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(1), pages 907-908, January.
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