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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


TOPSIS based Renewable-Energy-Source-Selection using Moderator Intuitionistic Fuzzy Set

TOPSIS based Renewable-Energy-Source-Selection using Moderator Intuitionistic Fuzzy Set

Bhagawati Prasad Joshi
Department of Mathematics, Graphic Era Hill University, 263136, Bhimtal, India.

Navneet Joshi
Department of Mathematics, Graphic Era Hill University, 263136. Bhimtal, India.

Alexander Gegov
School of Computing, University of Portsmouth, Portsmouth, PO1 3HE, UK.

DOI https://doi.org/10.33889/IJMEMS.2023.8.5.056

Received on May 05, 2023
  ;
Accepted on July 05, 2023

Abstract

Many criteria must be taken into account while selecting the best renewable energy source (RES), which necessitates a sophisticated multi-criteria decision-making (MCDM) procedure. Conflicting norms, as well as insufficient and inaccurate information, make this endeavour challenging. The theory of moderator intuitionistic fuzzy set (MIFS), a generalization of intuitionistic fuzzy sets (IFSs) has been developed to handle these uncertainties. The MIFS also helps to get a higher degree of precision in the uncertain behaviours due to the moderator parameter. In this paper, first some distance measures are presented for MIFSs, and then, on the basis of the proposed distances, we suggest a TOPSIS technique for choosing the best RES inside MIFS architecture. The efficacy of the proposed MIFS-based TOPSIS technique is put to the test by comparing different wind generating systems in a case study. The findings of the study are then compared in order to demonstrate that the suggested method is superior to the existing ones.

Keywords- Renewable energy (RE), Renewable energy source (RES), Intuitionistic fuzzy set (IFS), Moderator IFS (MIFS), TOPSIS, MCDM.

Citation

Joshi, B. P. Joshi, N., & Gegov, A. (2023). TOPSIS based Renewable-Energy-Source-Selection using Moderator Intuitionistic Fuzzy Set. International Journal of Mathematical, Engineering and Management Sciences, 8(5), 979-990. https://doi.org/10.33889/IJMEMS.2023.8.5.056.