COMPUTATION OF FUZZY EIGENVALUES AND EIGENVECTORS OF GENERALIZED FUZZY EIGENVALUE PROBLEMS USING NONLINEAR PROGRAMMING APPROACH Lahon Mukesh, Niranjan Bora, Palash Dutta Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2026 Computation of the fuzzy eigenvalues and the associated fuzzy eigenvectors of a fuzzy matrix is often challenging task as compared to that of usual eigenvalue problem. The methods developed so far are particularly for standard fuzzy eigenvalue problem. In this paper, we consider generalized eigenvalue problem (GFEP) of the form AV = λBV in fuzzy environment, where A and B are fuzzy matrices and the parameter λ denotes the fuzzy eigenvalue. To obtain the fuzzy eigenpair (˜λ, ˜V) of GFEP, we proposed method of solving GFEP by converting it into system of linear and nonlinear equations and inequalities based calculation on interval. This method was successfully applied to the standard fuzzy eigenvalue problem by Khosravi et al. We presented model numerical example to check the efficiency of the method.
A Novel Weighted Evidence Combination Method Based on Reliability and Credibility degree with an Application in Decision Making Process Palash Dutta, Sonom Shome New Mathematics and Natural Computation, 2025 The Dempster–Shafer theory (DST), also known as Belief function theory (BFT), finds extensive application across various domains involving data fusion. However, it is not uncommon to encounter counterintuitive results when combining highly conflicting pieces of evidence using the Dempster combination rule (DCR). While the literature offers several combination rules, only a few address these shortcomings effectively. To address these limitations and rectify the issue of counterintuitive outcomes, a novel weighted evidence fusion rule has been introduced. This fusion approach comprises four key steps: First, the reliability degree of each evidence set, also known as body of evidence (BOE) is determined based on its compatibility degree and total correlation. This step helps to mitigate conflicts arising from unreliable sources. Second, the degree of credibility of each BOE is computed, taking into account distance of evidence and uncertainty degree, further enhancing the accuracy of the fusion process. Third, the reliability and credibility degrees are combined to derive weights for each BOE, ensuring that more weight is assigned to trustworthy sources of evidence. Finally, these weights for each BOE are used to compute a modified Basic Probability Assignment (BPA) for each proposition, which are then fused using the Dempster combination rule. Numerous numerical examples, as well as artificial and real datasets, have been employed to emphasize the effectiveness and potential of this innovative approach. Furthermore, through comparative analysis, it becomes evident that the proposed rule consistently outruns other existing methods, ensuring more accurate and reliable outcomes.
SEMI-CIRCULAR FUZZY VARIABLE AND ITS PROPERTIES Research Notes on Computing and Communication Sciences Applied Soft Computing Techniques and Applications, 2022
A SOPHISTICATED SIMILARITY MEASURE FOR PICTURE FUZZY SETS AND THEIR APPLICATION Research Notes on Computing and Communication Sciences Applied Soft Computing Techniques and Applications, 2022
An expected value-based novel similarity measure for multi-attribute decision-making problems with single-valued trapezoidal neutrosophic numbers Decision Making with Neutrosophic Set Theory and Applications in Knowledge Management, 2021
A Novel Multi-criteria Decision-Making Method Based on Hyperbolic Fuzzy Sets AK Banik, A Konwar, P Dutta Fuzzy Decision-Making Algorithms: Mathematical Optimization, Metaheuristic … , 2026 2026
A Hybrid MCDM Approach Based on Hyperbolic Fuzzy Sets for Supplier Selection in Sustainable Supply Chain D Rajbonshi, P Dutta Fuzzy Decision-Making Algorithms: Mathematical Optimization, Metaheuristic … , 2026 2026
A multi-source information fusion method based on a new base belief function P Dutta, S Shome Franklin Open, 100638 , 2026 2026
Computation of fuzzy eigenvalues and eigenvectors of generalized fuzzy eigenvalue problems using nonlinear programming approach L Mukesh, N Bora, P Dutta Journal of Mathematics, Mechanics and Computer Science 129 (1), 64-76 , 2026 2026
Mathematical Foundations, Structural Embeddings, and Complement Operations in Hyperbolic Fuzzy Set Theory P Dutta 2026
(m, n)-Generalized power root fuzzy set and its applications in crime linkage and criminal mental health diagnosis AK Banik, P Dutta, A Konwar Engineering Applications of Artificial Intelligence 164, 112935 , 2026 2026 Citations: 1
Enhanced information measures using q-Rung Orthopair Fuzzy Sets for improved criminal investigation techniques AK Banik, P Dutta, D Pamucar, V Simic Engineering Applications of Artificial Intelligence 163, 112622 , 2026 2026 Citations: 3
An efficient decision making method based on hyperbolic fuzzy environment with new score function and its application in determining crime prone zones AK Banik, P Dutta International journal of machine learning and cybernetics 16 (12), 9807-9833 , 2025 2025 Citations: 6
A hybrid Fermatean Fuzzy approach based on a novel score function for solid waste management P Dutta, A Konwar, R Kumar, N Palit Engineering Applications of Artificial Intelligence 157, 110876 , 2025 2025 Citations: 6
A HyF-WASPAS Method based on Similarity Measure to Access Renewable Energy Technologies: A HyF-WASPAS Method based on Similarity Measure to Access Renewable Energy Technologies A Konwar, P Dutta Rea Press 2 (2) , 2025 2025
Cryptocurrency investment decision-making: A hyperbolic fuzzy MCDM approach P Dutta, D Rajbonshi, A Bahrami International journal of research in industrial engineering 14 (3), 445-465 , 2025 2025 Citations: 4
Hyperbolic fuzzy set: A comprehensive approach to handle uncertainty in decision analysis P Dutta, A Bahrami Journal of decisions and operations research 10 (2), 338-362 , 2025 2025 Citations: 3
New ranking approach of intuitionistic fuzzy sets and its application in cognitive transportation problem B Saikia, P Dutta Operations Research Forum 6 (3), 106 , 2025 2025 Citations: 2
A Novel Weighted Evidence Combination Method Based on Reliability and Credibility degree with an Application in Decision Making Process P Dutta, S Shome New Mathematics and Natural Computation 21 (02), 379-407 , 2025 2025 Citations: 1
Assessing Medical Waste Treatment Technique based on Hyperbolicfuzzy EM-SWARA with COPRAS and ARAS Approaches: Assessing Medical Waste Treatment Technique based on … N Agarwal, P Dutta Rea Press 2 (2) , 2025 2025 Citations: 1
Multicriteria decision making analysis based on Fermatean fuzzy distance measure and entropy measure with application in COVID-19 P Dutta, A Konwar Pattern Analysis and Applications 28 (2), 74 , 2025 2025 Citations: 5
Construction of distance measure for Fermatean fuzzy sets and its application in educational assessment and medical diagnosis D Dutta, P Dutta, B Gohain International Journal of Mathematics in Operational Research 32 (3), 294-330 , 2025 2025 Citations: 1
A HyF-WASPAS Method based on Similarity Measure to Access Renewable Energy Technologies A Konwar, P Dutta Risk Assessment and Management Decisions , 2025 2025 Citations: 4
Assessing Medical Waste Treatment Technique based on Hyperbolic fuzzy EMSWARA with COPRAS and ARAS Approaches N Agarwal, P Dutta Uncertainty Discourse and Applications , 2025 2025 Citations: 3
Fuzzy risk analysis in crop selection using information measures on quadripartitioned single-valued neutrosophic sets G Borah, P Dutta Expert Systems with Applications 255, 124750 , 2024 2024 Citations: 18
MOST CITED SCHOLAR PUBLICATIONS
Fuzzy arithmetic with and without using α-cut method: a comparative study P Dutta, H Boruah, T Ali International Journal of Latest Trends in Computing 2 (1), 99-108 , 2011 2011 Citations: 200
Distance measure on intuitionistic fuzzy sets and its application in decision‐making, pattern recognition, and clustering problems B Gohain, R Chutia, P Dutta International Journal of Intelligent Systems 37 (3), 2458-2501 , 2022 2022 Citations: 123
Some aspects of picture fuzzy set P Dutta, S Ganju Transactions of A. Razmadze Mathematical Institute 172 (2), 164-175 , 2018 2018 Citations: 112
Medical Diagnosis Based on Distance Measures Between Picture Fuzzy Sets P Dutta International Journal of Fuzzy System Applications (IJFSA) 7 (4), 15-36 , 2018 2018 Citations: 97
Uncertainty modeling in risk assessment based on Dempster–Shafer theory of evidence with generalized fuzzy focal elements P Dutta Fuzzy information and engineering 7 (1), 15-30 , 2015 2015 Citations: 75
A New Combination Rule for Conflict Problem of Dempster-Shafer Evidence Theory T Ali, P Dutta, H Boruah International Journal of Energy, Information and Communications 3 (1), 35-40 , 2012 2012 Citations: 65
A distance measure for optimistic viewpoint of the information in interval-valued intuitionistic fuzzy sets and its applications B Gohain, R Chutia, P Dutta Engineering Applications of Artificial Intelligence 119, 105747 , 2023 2023 Citations: 61
Construction and generation of distance and similarity measures for intuitionistic fuzzy sets and various applications B Gohain, P Dutta, S Gogoi, R Chutia International Journal of Intelligent Systems , 2021 2021 Citations: 60
Medical Diagnosis via Distance Measures on Picture Fuzzy Sets P Dutta ADVANCES IN MODELLING AND ANALYSIS A 54 (2), 137-152 , 2017 2017 Citations: 51
Fuzzy Decision Making in Medical Diagnosis Using an Advanced Distance Measure on Intuitionistic Fuzzy Sets P Dutta, S Goala The Open Cybernetics & Systemics Journal 12 (2018), 136-149 , 2018 2018 Citations: 50
Modeling of variability and uncertainty in human health risk assessment P Dutta MethodsX 4, 76-85 , 2017 2017 Citations: 46
Two new similarity measures for intuitionistic fuzzy sets and its various applications B Gohain, R Chutia, P Dutta, S Gogoi International Journal of Intelligent Systems , 2022 2022 Citations: 45
An advanced similarity measure for Pythagorean fuzzy sets and its applications in transportation problem B Saikia, P Dutta, P Talukdar Artificial intelligence review 56 (11), 12689-12724 , 2023 2023 Citations: 43
An uncertainty measure and fusion rule for conflict evidences of big data via Dempster–Shafer theory P Dutta International Journal of Image and Data Fusion 9 (2), 152-169 , 2018 2018 Citations: 42
A q-rung orthopair basic probability assignment and its application in medical diagnosis B Limboo, P Dutta Decision Making: Applications in Management and Engineering 5 (1), 290-308 , 2022 2022 Citations: 40
Bell-shaped fuzzy soft sets and their application in medical diagnosis P Dutta, B Limboo Fuzzy information and engineering 9 (1), 67-91 , 2017 2017 Citations: 37
An extended group decision-making algorithm with intuitionistic fuzzy set information distance measures and their applications H Garg, D Dutta, P Dutta, B Gohain Computers & Industrial Engineering 197, 110537 , 2024 2024 Citations: 36
Aggregation operators of quadripartitioned single-valued neutrosophic Z-numbers with applications to diverse COVID-19 scenarios G Borah, P Dutta Engineering applications of artificial intelligence 119, 105748 , 2023 2023 Citations: 36
Arithmetic operations on normal semi elliptic intuitionistic fuzzy numbers and their application in decision-making P Dutta, B Saikia Granular Computing 6 (1), 163-179 , 2021 2021 Citations: 33
Fuzzy Multicriteria Decision Making in Medical Diagnosis using an Advanced Distance Measure on Linguistic Pythagorean Fuzzy Sets P Talukdar, S Goala, P Dutta, B Limboo Annals of Optimization Theory and Practice , 2020 2020 Citations: 32
