TOPSIS approach for MADM based on Quadripartitioned single  valued neutrosophic refined Hamacher aggregation operations

Arokia Pratheesha S V; Annapoorna M S; Radha R; Parul Arora; Ritika Wason; Divya Baliga B

Authors

Arokia Pratheesha S V Assistant Professor,Department of Mathematics,Dr.N.G.P Arts and Science College,Coimbatore;
Annapoorna M S Assistant Professor, Department of Mathematics, BMS Institute of Technology and Management, Bengaluru, Karnataka, India,
Radha R Assistant Professor,Department of Science and Humanities,Karpagam College of Engineering,Coimbatore;
Parul Arora Associate Professor, Department of Computer Science and Applications, Bharati Vidyapeeth’s Institute of Computer Applications and Management (BVICAM), Delhi, India;
Ritika Wason Deputy Director, Department of Computer Science and Applications, Bharati Vidyapeeth’s Institute of Computer Applications and Management (BVICAM), Delhi, India;
Divya Baliga B Assistant Professor, Department of Mathematics, New Horizon College, Bangalore, Karnataka, India;

Keywords:

Quadripartitioned Single Valued Neutrosophic Refined Set,Quadripartitioned Single Valued Neu trosophic Refined Number,Multi attribute decision making, Aggregation Operator, TOPSIS.

Abstract

Hamacher operators are extensively utilized in multicriteria attribute group decision-making
(MAGDM) problems due to their remarkable adaptability provided by an adjustable parameter. Here, the
Hamacher T-norm and T-conorm operations for two QSVNRNs are formulated.Using these Hamacher op
erations, we present the quadripartitioned single-valued neutrosophic refined Hamacher weighted averaging
(QSVNRHWA) operators within the QSVNR framework and analyze their properties.Finally, we explore a
TOPSIS-based approach for multi-attribute decision-making problems that employs the QSVNRHWA opera
tors, demonstrating its application in evaluating practical scenarios related to converting solid waste into energy.

DOI: 10.5281/zenodo.14707410