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A New Hesitant Fuzzy Rule-Based System for Ranking Hydro Power Plant Site Selection

Author

Listed:
  • Biplab Singha

    (Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, Assam, India)

  • Mausumi Sen

    (Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, Assam, India)

  • Nidul Sinha

    (��Department of Electrical Engineering, National Institute of Technology Silchar, Silchar 788010, Assam, India)

  • Dhiman Dutta

    (��Department of Mathematics, The Assam Royal Global University, Guwahati, Guwahati 781035, Assam, India)

Abstract

Fuzzy set was introduced in 1965 by Prof. A. Lotfi Zadeh to deal with uncertainty. Fuzzy set is an important tool for solving real life problems. Similarly, hesitant fuzzy set is the extended tool of fuzzy set which plays an important role to deal with uncertainty, imprecision and vagueness more clearly and accurately. In this paper, hesitant fuzzy base rule system is proposed which is the extension of fuzzy base rule system. A new dimension of hesitant fuzzy set i.e. hesitant fuzzy membership line (HFML) is defined and the HFML is classified into different classes (Good, Fair, Poor) according to Quality Index Parameter (QIP) which is calculated by the expert only with the best of their knowledge. Also this paper consists of two newly defined operations AND and OR operations on hesitant fuzzy sets. The effective criteria like Ecology, Hostility, Cost, Water Quality and Air Quality are considered so that decision makers make appropriate site selection of the power plant in more rational and easy evaluation method. Using all the newly proposed methods in this paper, the policy makers are able to select the best power plant most easily and effectively without any big calculation. Finally, the power plant sites are ranked according to the highest value given by a score function.

Suggested Citation

  • Biplab Singha & Mausumi Sen & Nidul Sinha & Dhiman Dutta, 2022. "A New Hesitant Fuzzy Rule-Based System for Ranking Hydro Power Plant Site Selection," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 449-467, July.
  • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500223
    DOI: 10.1142/S1793005722500223
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