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

Biplab Singha (), Mausumi Sen (), Nidul Sinha () and Dhiman Dutta ()
Additional contact information
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

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 449-467

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.

Keywords: Fuzzy sets; hesitant fuzzy sets; hesitant fuzzy membership line (HFML) (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005722500223
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500223

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005722500223

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().