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An Integrated AHP-SVNS-TOPSIS Approach and its Application to Efficiency Analysis of Hydropower Plant
Pub. online: 6 May 2026      Type: Research Article      Open accessOpen Access
Received
1 October 2025
Accepted
1 April 2026
Published
6 May 2026

Abstract

Multi-Criteria Decision-Making (MCDM) is a vital tool for handling complex decision problems under uncertainty. Fuzzy set theory and its extensions, such as Single-Valued Neutrosophic Sets (SVNS), enhance decision-making by addressing ambiguity, indeterminacy, and partial information. Among MCDM techniques, TOPSIS has gained prominence for ranking alternatives, and its integration with some MCDM approaches has been widely applied. However, no prior study has combined the Analytic Hierarchy Process (AHP) with Neutrosophic-TOPSIS. This study proposes a hybrid AHP-SVNS-TOPSIS framework, where AHP determines the weights of evaluation criteria, and Neutrosophic-TOPSIS ranks alternatives under uncertain conditions. The model is applied to assess hydropower plant (HPP) performance, considering impacts from urbanization, climate change, and machine failures. The generator’s efficiency is the most important parameter, based on the results of the suggested model. Existing research validates the outcomes of the suggested model.

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Biographies

Majumder Priyanka
majumderpriyanka94@yahoo.com

P. Majumder received the BSc degree from Tripura University, in 2010, MSc and PhD degrees in mathematics from the National Institute of Technology Agartala, India, in 2012 and 2020. Currently, he is working as an associate professor in the Department of Basic Science and Humanities Department (Mathematics), Techno College of Engineering Agartala, Maheshkhola, Agartala, Tripura. He is the author of three books and more than 50 articles.

Banik Subhendu
subhendubanik.in47@gmail.com

S. Banik was born on December 1969 at Agartala, Tripura, India, and completed his under graduation from MBB College with honours in mathematics and his post-graduation in mathematics (with specialisation in elasticity in applied mathematics) from Tripura University (A Central University), Agartala. Dr. Banik completed his doctoral work and conferred PhD from Tripura University in the year of 2009. He joined as a post graduate teacher in mathematics at Muhuripur H.S School, South Tripura under Govt. of Tripura in 1997 a period. After that he joined as an assistant professor in mathematics in Tripura Institute of Technology in 2009 and at present he is serving as a professor in mathematics at Tripura Institute of Technology. He is in the teaching profession for more than 26 years and is actively indulged in research works in the field of applied mathematics, mathematical biology, etc. He has delivered lectures as a guest in different reputed institutions and presented several papers in various national and international conferences and published more than 20 papers in different journals.

Smarandache Florentin
smarand@unm.edu

F. Smarandache received MSc degrees in mathematics and computer science from the University of Craiova, Romania, and PhD degrees from the State University of Kishinev and Okayama University of Sciences, Japan. He founded neutrosophy, neutrosophic set, logic, probability, and statistics in 1995. Currently, he is a professor of mathematics at the University of New Mexico, USA. He has published hundreds of articles and books on neutrosophic physics, quantum paradoxes, and algebraic extensions. His contributions include plithogenic logic, neutroalgebras, neutrogeometry, and the Dezert-Smarandache theory. He has introduced concepts like unmatter, absolute relativity, and hypersoft sets. He has delivered plenary lectures and presented papers at numerous international conferences.


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© 2026 Vilnius University
Open access article under the CC BY license.

Keywords
AHP single-valued neutrosophic sets TOPSIS efficiency hydro power plant

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