APPLICATION OF QUADRIPARTITIONED NEUTROSOPH α-LEVEL SETS ON DECISION MAKING PROBLEMS USING MATLAB Mathematica Montisnigri, 2026
Triangular fuzzy quadripartitioned neutrosophic set and its properties Tanmoy Chatterjee, Surapati Pramanik Neutrosophic Sets and Systems, 2025 The main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy quadripartitioned neutrosophic sets such as union, intersection, and complement. We establish some important theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned neutrosophic sets in an elaborate way. We have defined unity and null triangular fuzzy quadripartitioned neutrosophic sets and established some mathematical operations on them. We establish some fundamental properties of the developed triangular fuzzy quadripartitioned neutrosophic sets.
Evaluating the Minimum Spanning Trees Using Prim's Algorithm with Undirected Neutrosophic Graphs Sukanta Ghadei, Amaresh Chandra Panada, Surapati Pramanik, Nihar Ranjan Panda, Prasanta Kumar Raut Neutrosophic Sets and Systems, 2025 This research paper presents an innovative approach for determining the minimum spanning tree (MST) in an undirected neutrosophic graph using Prim's Algorithm, which is extensively used in addressing network optimization problems. We analyze the effectiveness of Prim's method for constructing the minimum spanning trees in undirected neutrosophic networks, where edge weights are denoted by neutrosophic numbers. Neutrosophic numbers with components reflecting truth, uncertainty, and Neutrosophic Sets and Systems, Vol. 85, 2025 362 Sukanta Ghadei, Amaresh Chandra Panada,Surapati,Pramanik, Nihar Ranjan Panda, Prasanta Kumar Raut, Evaluating the Minimum Spanning Trees Using Prim's Algorithm with Undirected Neutrosophic Graphs falsehood provide a more sophisticated method of expressing uncertainty in network modeling. Here, we use a score function to contrast different NMSTs based on weights calculated by adding neutrosophic numbers. This method is particularly beneficial for use in transportation, communication networks, and logistics, where uncertain properties frequently define network configurations. Numerical illustrations prove the effectiveness of the proposed method, showing its efficiency in handling neutrosophic graphs and keeping it computationally feasible. The results indicated that the suggested Prim's algorithm efficiently produces the minimum spanning trees in uncertain environments and is advantageous for network design and optimization in these scenarios.
An Overview of Fermatean Neutrosophic Graphs Neutrosophic Sets and Systems, 2025
Pentapartitioned Neutrosophic Soft Set with Interval Membership Neutrosophic Sets and Systems, 2025
Solving the shortest path based on the traveling salesman problem with a genetic algorithm in a Fermatean neutrosophic environment Prasanta Kumar Raut, Surapati Pramanik, Deepak Kumar Mohapatra, Srikanta Kumar Sahoo Neutrosophic Sets and Systems, 2025 The Traveling Salesman Problem (TSP) is one of the most significant and well-known optimization problem that is frequently limited by uncertainty in edge lengths. Existing methods fail to effectively model and solve such problems in uncertain environments. To address this gap, we propose a novel approach that combines a genetic algorithm (GA) with Fermatean neutrosophic numbers to provide a more robust representation of uncertainty. This work presents a comprehensive framework for evaluating the shortest path in a given network by precisely characterizing uncertain edge lengths. The proposed methodology is tested on various TSP scenarios of varying complexities, demonstrating its ability to generate near-optimal solutions with higher efficiency and accuracy than traditional techniques. Our findings highlight the method's potential for advancing uncertain route optimization and have significant practical implications for real-world logistics.
Integrated Science 2050: Transdisciplinarity Simin Seyedpour, Ginn Assibey Bonsu, Carlos R. Rojas-garcia, Helen Kopnina, Marta Jaskulak, Mari Nieves Vergara, Derya Yılmaz, Alessandro Melis, Ehsan Keramati Niaragh, Mehdi Azizkhani, Clara Vasconcelos, Mohammad Sufian Badar, Armin Grunwald, Orlando Gomes, Dušan Marković, Guillermina Jasso, Aarne Mämmelä, Miloš Milošević, Silvia Sivera-Bello, Valentina Cauda, Emad AbouElgheit, Julie B. Ealy, Laura Stevens, Dario Dalla Vedova, Hideaki Yanagisawa, C. P. Hertogh, Natalya Shelkovaya, Ruth Oriama, Surapati Pramanik, Nima Rezaei Integrated Science, 2022
International Scientific Collaboration Is Needed to Bridge Science to Society: USERN2020 Consensus Statement Sara Momtazmanesh, Amene Saghazadeh, Juan Carlos Aldave Becerra, Kiarash Aramesh, Francisco J. Barba, Federico Bella, Anna Blakney, Massimo Capaccioli, Rossella Castagna, Umberto Crisanti, Tigran Davtyan, Tommaso Dorigo, Julie Ealy, Mehdi Farokhnia, Giulia Grancini, Manoj Gupta, Amine Harbi, Wojciech Krysztofiak, Arutha Kulasinghe, Chi-Ming Lam, Alexander Leemans, Brian Lighthill, Vittorio Limongelli, Paola Lopreiato, Livio Luongo, Christopher Ryan Maboloc, Reza Malekzadeh, Orlando Costa Gomes, Milos Milosevic, Jan Nouwen, Delfín Ortega-Sánchez, John Pawelek, Surapati Pramanik, Seeram Ramakrishna, Ortwin Renn, Serena Sanseviero, Daniel Sauter, Michael Schreiber, Frank W. Sellke, Mohammad-Ali Shahbazi, Natalya Shelkovaya, Wayne H. Slater, Didier Snoeck, Slawomir Sztajer, Lucina Q. Uddin, Liz Veramendi-Espinoza, Ricardo Vinuesa, Walter C. Willett, Dongrui Wu, Karolina Żyniewicz, Nima Rezaei SN Comprehensive Clinical Medicine, 2021
TrNN-ARAS strategy for multi-attribute group decision-making (MAGDM) in trapezoidal neutrosophic number environment with unknown weight Decision Making with Neutrosophic Set Theory and Applications in Knowledge Management, 2021
Neutrosophic Tri-Topological Space Neutrosophic Sets and Systems, 2021
DECISION MAKING FOR LOGISTICS CENTER LOCATION SELECTION IN TRAPEZOIDAL NEUTROSOPHIC ENVIRONMENT Neutrosophic Theories in Communication Management and Information Technology, 2020
Single valued neutrosophic hyperbolic sine similarity measure based MADM strategy Neutrosophic Sets and Systems, 2018
Contributions of selected Indian researchers to multi attribute decision making in neutrosophic environment: An overview Neutrosophic Sets and Systems, 2018
Interval neutrosophic tangent similarity measure based MADM strategy and its application to MADM problems Neutrosophic Sets and Systems, 2018
Distance measure based MADM strategy with interval trapezoidal neutrosophic numbers Neutrosophic Sets and Systems, 2018
Correlation coefficient measures of interval bipolar neutrosophic sets for solving multi-attribute decision making problems Neutrosophic Sets and Systems, 2018
TOPSIS strategy for multi-attribute decision making with trapezoidal neutrosophic numbers Neutrosophic Sets and Systems, 2018
Hybrid binary logarithm similarity measure for MAGDM problems under SVNS assessments Neutrosophic Sets and Systems, 2018
Multi-attribute decision making based on several trigonometric hamming similarity measures under interval rough neutrosophic environment Neutrosophic Sets and Systems, 2018
NC-VIKOR based MAGDM strategy under neutrosophic cubic set environment Neutrosophic Sets and Systems, 2018
Multi attribute decision making strategy on projection and bidirectional projection measures of interval rough neutrosophic sets Neutrosophic Sets and Systems, 2018
VIKOR based MAGDM strategy under bipolar neutrosophic set environment Neutrosophic Sets and Systems, 2018
PNN - COCOSO for multi attribute group decision making S Pramanik, RK Sinha South East Asian Journal of Mathematics and Mathematical Sciences 22 (1), 1-24 , 2026 2026
Spherical fuzzy BW-AHP strategy and its applications in renewable energy P Majumder, S Pramanik Boletim da Sociedade Paranaense de Matemática 44 (1), 1-21 , 2026 2026
Complex intuitionistic fuzzy neutrosophic structures in Lie algebras: Subalgebras, ideals and homomorphisms M Ahmad, S Pramanik, N Khan Boletim da Sociedade Paranaense de Matemática 44 (1), 1-34 , 2026 2026 Citations: 1
Some properties of the interval quadripartitioned neutrosophic sets U Bag, S Pramanik Boletim da Sociedade Paranaense de Matemática 44 (1), 1-12 , 2026 2026
Modern and new ways of engaging learners with mathematical dream: A study of changing trends in digital era S Keshari, N Ghosh, S Pramanik Connecting mathematics: Nature, Beauty, life, and Society, 110-119 , 2026 2026
Mathematics in nature: A study in the new era of artificial intelligence S Pramanik Connecting mathematics: Nature, Beauty, Life, and Society, 1-12 , 2026 2026
Application of quadripartitioned neutrosophic α-level sets on decision making problems using MATLAB. R Das, P Bal, S Pramanik, F Smarandache, K Bhattacharjee Mathematica Montisnigri 65, 66–86 , 2026 2026
A new MCDM strategy to select the best E-Car using hybrid weighted arithmetic & geometric operator under triangular neutrosophic arena T Chatterjee, S Pramanik, S Mondal, A Chakraborty Journal of Fuzzy Extension and Applications 7 (2), 435-474 , 2026 2026 Citations: 1
Academic Rankings: An Analysis of Nandalal Ghosh B.T. College in the AD Scientific Index 2025 N Ghosh, S Pramanik Bharati International Journal of Multidisciplinary Research & Development 4 … , 2026 2026
Contributions of selected women researchers to neutrosophic studies in West Bengal: A selected overview S Pramanik Education – A New Dawn for Women, 336-364 , 2026 2026
Science Olympiad achievements at the secondary level: A tri-national comparison of India, China, and Japan A Ghosh, S Pramanik Bharati International Journal of Multidisciplinary Research & Development 3 … , 2025 2025
Contested autonomy: Prostitution, emotional independence, and male contemplation in El Saadawi’s Woman at Point Zero A Shaw, S Pramanik Bharati International Journal of Multidisciplinary Research & Development 3 … , 2025 2025
Neutrosophic pattern view theory of mathematics, a new theory of philosophy of mathematics S Pramanik International Afrin Education and Social Studies Symposium, 787-793 , 2025 2025
Integrating traditional diagnostics methods through neutrosophic set based cancer analysis using machine learning techniques P Tharaniya, M Raji, R Rajalakshmi, S Pramanik, R Balapriya, ... Neutrosophic Sets and Systems 93, 1-21 , 2025 2025 Citations: 2
A trilevel transportation problem for traffic management in neutrosophic environment PK Raut, R Rajalakshmi, A Mishra, S Pramanik, M Donganont, Behera, ... Neutrosophic Sets and Systems 90, 315-342 , 2025 2025 Citations: 1
A novel approach for neutrosophic complete graph and neutrosophic excellent domination M Raji, P Tharaniya, S Pramanik, GA Prabhu Neutrosophic Sets and Systems 90, 31-47 , 2025 2025
Advancing breast cancer diagnosis: A comprehensive machine learning approach for predicting malignant and benign cases with precision and insight in a neutrosophic environment … NR Panda, R Rajalakshmi, S Pramanik, M Donganont, PK Raut Neutrosophic Sets and Systems 87, 763-784. , 2025 2025 Citations: 3
A comparative analysis of secondary science teacher professional development in India, Singapore, and the USA A Nandy, S Pramanik Bharati International Journal of Multidisciplinary Research & Development 3 … , 2025 2025 Citations: 3
Evaluating the minimum spanning trees using Prim’s algorithm with undirected neutrosophic graphs. S Ghadei, AC Panada, S Pramanik, NR Panda, PK Raut Neutrosophic Sets and Systems 85, 361-379. , 2025 2025 Citations: 4
A systemic comparison of secondary-level science Olympiad programs in India, Singapore, and the USA A Nandy, S Pramanik Bharati International Journal of Multidisciplinary Research & Development 3 … , 2025 2025 Citations: 4
MOST CITED SCHOLAR PUBLICATIONS
TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment P Biswas, S Pramanik, BC Giri Neural Computing and Applications 27 (3), 727-737 , 2016 2016 Citations: 729
New Trends in Neutrosophic Theory and Applications, F Smarandache, S Pramanik Pons Editions, asbl, Brussells, Belgium 1, 424 , 2016 2016 Citations: 263
Fuzzy goal programming approach to multilevel programming problems S Pramanik, TK Roy European Journal of Operational Research 176 (2), 1151-1166 , 2007 2007 Citations: 255
Entropy based grey relational analysis method for multi-attribute decision-making under single valued neutrosophic assessments P Biswas, S Pramanik, BC Giri Neutrosophic Sets and Systems 2, 102-110 , 2014 2014 Citations: 244
A new methodology for neutrosophic multi-attribute decision making with unknown weight information P Biswas, S Pramanik, BC Giri Neutrosophic Sets and Systems 3, 42-52 , 2014 2014 Citations: 209
Hybrid vector similarity measures and their applications to multi-attribute decision making under neutrosophic environment S Pramanik, P Biswas, BC Giri Neural Computing and Applications 28 (5), 1163-1176 , 2017 2017 Citations: 190
Value and ambiguity index based ranking method of single-valued trapezoidal neutrosophic numbers and its application to multi-attribute decision making P Biswas, S Pramanik, BC Giri Neutrosophic Sets and Systems 12, 127-138 , 2016 2016 Citations: 190
Cosine similarity measure based multi-attribute decisionmaking with trapezoidal fuzzy neutrosophic numbers P Biswas, S Pramanik, BC Giri Neutrosophic Sets and Systems 8, 46-56 , 2015 2015 Citations: 188
Aggregation of triangular fuzzy neutrosophic set information and its application to multi-attribute decision making P Biswas, S Pramanik, BC Giri Neutrosophic Sets and Systems 12, 20-40 , 2016 2016 Citations: 178
Pentapartitioned neutrosophic set and its properties R Mallick, S Pramanik Neutrosophic Sets and Systems 36, 184-192 , 2020 2020 Citations: 174
Neutrosophic sets: An overview. S Broumi, A Bakali, M Talea, Smarandache, V F., Uluçay, S Sahin, A Dey, ... New trends in neutrosophic theory and applications ( Florentin Smarandache … , 2018 2018 Citations: 165
Neutrosophic decision making model of school choice K Mondal, S Pramanik Neutrosophic Sets and Systems 7, 62-68 , 2015 2015 Citations: 160
Neutrosophic tangent similarity measure and its application to multiple attribute decision making K Mondal, S Pramanik Neutrosophic Sets and Systems 9, 80-87 , 2015 2015 Citations: 148
Cosine similarity measure of rough neutrosophic sets and its application in medical diagnosis S Pramanik, K Mondal Journal of New Theory 4, 90-102 , 2015 2015 Citations: 146
Multi-criteria group decision making approach for teacher recruitment in higher education under simplified neutrosophic environment K Mondal, S Pramanik Neutrosophic Sets and Systems 6, 28-34 , 2014 2014 Citations: 146
Grey relational analysis based intuitionistic fuzzy multi-criteria group decision-making approach for teacher selection in higher education S Pramanik, D Mukhopadhyaya International Journal of Computer Applications 34 (10), 21-29 , 2011 2011 Citations: 132
Multiobjective transportation model with fuzzy parameters: priority based fuzzy goal programming approach S Pramanik, TK Roy Journal of Transportation Systems Engineering and Information Technology 8 … , 2008 2008 Citations: 118
A study on problems of construction workers in West Bengal based on neutrosophic cognitive maps S Pramanik, S Chackrabarti International Journal of Innovative Research in Science, Engineering and … , 2013 2013 Citations: 108
Single-valued neutrosophic set: An overview S Pramanik Transdisciplinarity. Integrated Science 5, 563–608 , 2022 2022 Citations: 104
NS-cross entropy-based MAGDM under single-valued neutrosophic set environment S Pramanik, S Dalapati, S Alam, F Smarandache, TK Roy Information 9 (2), 37 , 2018 2018 Citations: 99
