A New TOPSIS Approach Utilizing Triangular Divergence for Decision-Making in Single-Valued Neutrosophic Environment Prayosi Chatterjee, Mijanur Rahaman Seikh Mathematics and Computer Science for Real World Applications, 2025 When handling ambiguous and inconsistent data in “multiple attribute decision-making” (MADM) scenarios, single-valued neutrosophic numbers perform efficiently. The widely utilized MADM technique, “Technique for Order of Preference by Similarity to Ideal Solution” (TOPSIS), relies heavily on distance measurement. The objective of this study is to present a new distance measure for single-valued neutrosophic sets using the triangular divergence measure. We propose two different distance measures and examine their characteristics carefully. Through an example, the advantages of the proposed distance measure were demonstrated. A comparison investigation was conducted between the existing metrics and the proposed distance measure. A numerical example was used to validate a modified TOPSIS approach that incorporates a recently developed triangle divergence-based distance measure. The results clearly demonstrate the efficacy of the proposed method for discerning subtle differences within single-valued neutrosophic sets.
Confidence Level-Driven Dombi Aggregation Operators within the p,q-Quasirung Orthopair Fuzzy Environment for Sustainable Supplier Evaluation in Automotive Industry Utpal Mandal, Mijanur Rahaman Seikh Decision Making Advances, 2025 Selecting sustainable suppliers in the automotive industry is crucial for fostering environmental responsibility, cost efficiency, and ethical sourcing, all of which enhance long-term competitiveness and compliance with global sustainability standards. However, this process is a complex decision-making problem due to vague, uncertain, and imprecise data stemming from subjective expert judgments, incomplete information, dynamic market conditions, evolving regulations, and diverse stakeholder expectations. Traditional methods often fail to adequately capture these intricacies, necessitating more flexible and intelligent evaluation frameworks. To address this challenge, this study leverages p,q-quasirung orthopair fuzzy sets (p,q-QOFSs) to effectively model hesitation and ambiguity in expert assessments, while incorporating confidence levels to enhance reliability by accounting for varying decision-maker expertise. We propose confidence level-based Dombi weighted averaging (geometric) aggregation operators for p,q-QOFSs and develop a multi-criteria group decision-making model, with attribute weights determined using the Analytic Hierarchy Process (AHP). The model is validated through a case study in which three experts evaluate five automotive suppliers across eight sustainability criteria. A comparative analysis with existing methods demonstrates the superiority of the proposed approach, while sensitivity analysis confirms its robustness and stability under parameter variations.
Application of triangular intuitionistic fuzzy numbers in bi-matrix games International Journal of Pure and Applied Mathematics, 2012
RECENT SCHOLAR PUBLICATIONS
A sustainable EOQ model with trade credit for defective and deteriorating items, incorporating preservation technology under monsoon fuzzy demand MK Jayaswal, MR Seikh OPSEARCH, 1-43 , 2026 2026
Analysing sustainable industrial wastewater treatment technologies using circular fermatean fuzzy multi-attribute group decision making with decision experts’ confidence levels P Chatterjee, MR Seikh Engineering Applications of Artificial Intelligence 162, 112549 , 2025 2025 Citations: 6
Credit Financing Based Two-Level Green Supply Chain Model with Carbon Emissions for Eco-Friendly Demand Under a Fuzzy Environment MK Jayaswal, AS Yadav, A Mishra, MR Seikh Process Integration and Optimization for Sustainability, 1-20 , 2025 2025 Citations: 1
A new TOPSIS approach utilizing triangular divergence for decision‐making in single‐valued neutrosophic environment P Chatterjee, MR Seikh Mathematics and Computer Science for Real‐World Applications, 67-86 , 2025 2025 Citations: 2
Triangular divergence-based VIKOR method applied in a q-Rung orthopair fuzzy setting for health insurance plan selection MR Seikh, A Dey Journal of fuzzy extension and applications 6 (2), 300-317 , 2025 2025 Citations: 19
Confidence Level-Driven Dombi aggregation operators within the p, q-Quasirung orthopair fuzzy environment for sustainable supplier evaluation in automotive industry U Mandal, MR Seikh Decision Making Advances 3 (1), 285-309 , 2025 2025 Citations: 13
Sustainable strategies for electric vehicle adoption: A confidence level-based interval-valued spherical fuzzy MEREC-VIKOR approach MR Seikh, P Chatterjee Information Sciences 699, 121814 , 2025 2025 Citations: 64
A novel triangular divergence distance based cradis method for interval neutrosophic group decision making P Chatterjee, MR Seikh Neutrosophic Paradigms: Advancements in Decision Making and Statistical … , 2025 2025 Citations: 8
Neutrosophic group decision making P Chatterjee, MR Seikh Neutrosophic Paradigms: Advancements in Decision Making and Statistical … , 2025 2025 Citations: 1
A novel triangular divergence distance-based topsis method for interval-valued fermatean fuzzy group decision-making P Chatterjee, MR Seikh Decision Making Under Uncertainty Via Optimization, Modelling, and Analysis … , 2025 2025 Citations: 4
A Novel Triangular Divergence P Chatterjee, MR Seikh Decision Making Under Uncertainty Via Optimization, Modelling, and Analysis … , 2025 2025
Evaluating municipal solid waste management with a confidence level-based decision-making approach in q-rung orthopair picture fuzzy environment P Chatterjee, MR Seikh Journal of Industrial Information Integration 42, 100708 , 2024 2024 Citations: 46
Fermatean fuzzy CRADIS approach based on triangular divergence for selecting online shopping platform MR Seikh, A Mukherjee Transactions on Fuzzy Sets and Systems 6 (2), 108 , 2024 2024 Citations: 16
Evaluation and selection of E-learning websites using intuitionistic fuzzy confidence level based Dombi aggregation operators with unknown weight information MR Seikh, P Chatterjee Applied Soft Computing 163, 111850 , 2024 2024 Citations: 41
Identifying sustainable strategies for electronic waste management utilizing confidence-based group decision-making method in interval valued Fermatean fuzzy environment MR Seikh, P Chatterjee Engineering applications of artificial intelligence 135, 108701 , 2024 2024 Citations: 72
Optimal production plan in a production inventory model under the coexistence of both green and regular products: A study on Indian textile industry S Ruidas, MR Seikh, PK Nayak Heliyon 10 (13) , 2024 2024 Citations: 12
Coordination and strategic decision making in a stochastic dual-channel supply chain based on customers’ channel preferences SK Ghosh, MR Seikh, M Chakrabortty International Journal of System Assurance Engineering and Management 15 (6 … , 2024 2024 Citations: 23
A nonlinear programming approach to solving interval-valued intuitionistic hesitant noncooperative fuzzy matrix games S Karmakar, MR Seikh Symmetry 16 (5), 573 , 2024 2024 Citations: 8
Determination of best renewable energy sources in India using SWARA-ARAS in confidence level based interval-valued Fermatean fuzzy environment MR Seikh, P Chatterjee Applied Soft Computing 155, 111495 , 2024 2024 Citations: 114
A non-linear mathematical approach for solving matrix games with picture fuzzy payoffs with application to cyberterrorism attacks MR Seikh, S Dutta Decision Analytics Journal 10, 100394 , 2024 2024 Citations: 17
MOST CITED SCHOLAR PUBLICATIONS
Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making MR Seikh, U Mandal Granular Computing 6 (3), 473-488 , 2021 2021 Citations: 229
Multiple attribute group decision making based on quasirung orthopair fuzzy sets: Application to electric vehicle charging station site selection problem MR Seikh, U Mandal Engineering applications of artificial intelligence 115, 105299 , 2022 2022 Citations: 211
Interval-valued Fermatean fuzzy Dombi aggregation operators and SWARA based PROMETHEE II method to bio-medical waste management MR Seikh, U Mandal Expert Systems with Applications 226, 120082 , 2023 2023 Citations: 205
Analyzing a stochastic dual-channel supply chain under consumers’ low carbon preferences and cap-and-trade regulation SK Ghosh, MR Seikh, M Chakrabortty Computers & Industrial Engineering 149, 106765 , 2020 2020 Citations: 169
A production inventory model with interval-valued carbon emission parameters under price-sensitive demand S Ruidas, MR Seikh, PK Nayak Computers & Industrial Engineering 154, 107154 , 2021 2021 Citations: 166
Interval-valued spherical fuzzy MABAC method based on Dombi aggregation operators with unknown attribute weights to select plastic waste management process U Mandal, MR Seikh Applied Soft Computing 145, 110516 , 2023 2023 Citations: 124
Q-rung orthopair fuzzy Frank aggregation operators and its application in multiple attribute decision-making with unknown attribute weights MR Seikh, U Mandal Granular Computing 7 (3), 709-730 , 2022 2022 Citations: 120
Determination of best renewable energy sources in India using SWARA-ARAS in confidence level based interval-valued Fermatean fuzzy environment MR Seikh, P Chatterjee Applied Soft Computing 155, 111495 , 2024 2024 Citations: 114
Some picture fuzzy aggregation operators based on Frank t-norm and t-conorm: application to MADM process MR Seikh, U Mandal Informatica 45 (3) , 2021 2021 Citations: 92
Multiple attribute decision-making based on 3, 4-quasirung fuzzy sets MR Seikh, U Mandal Granular Computing 7 (4), 965-978 , 2022 2022 Citations: 78
Identifying sustainable strategies for electronic waste management utilizing confidence-based group decision-making method in interval valued Fermatean fuzzy environment MR Seikh, P Chatterjee Engineering applications of artificial intelligence 135, 108701 , 2024 2024 Citations: 72
q -Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units MR Seikh, U Mandal Symmetry 15 (9), 1680 , 2023 2023 Citations: 70
Type-2 intuitionistic fuzzy matrix games based on a new distance measure: Application to biogas-plant implementation problem S Karmakar, MR Seikh, O Castillo Applied Soft Computing 106, 107357 , 2021 2021 Citations: 70
A production inventory model for green products with emission reduction technology investment and green subsidy S Ruidas, MR Seikh, PK Nayak Process Integration and Optimization for Sustainability 6 (4), 863-882 , 2022 2022 Citations: 68
Sustainable strategies for electric vehicle adoption: A confidence level-based interval-valued spherical fuzzy MEREC-VIKOR approach MR Seikh, P Chatterjee Information Sciences 699, 121814 , 2025 2025 Citations: 64
An EPQ model with stock and selling price dependent demand and variable production rate in interval environment S Ruidas, MR Seikh, PK Nayak International Journal of System Assurance Engineering and Management 11 (2 … , 2020 2020 Citations: 64
Notes on triangular intuitionistic fuzzy numbers MR Seikh, PK Nayak, M Pal International Journal of Mathematics in Operational Research 5 (4), 446-465 , 2013 2013 Citations: 60
An interval-valued green production inventory model under controllable carbon emissions and green subsidy via particle swarm optimization: S. Ruidas et al. S Ruidas, MR Seikh, PK Nayak, ML Tseng Soft Computing 27 (14), 9709-9733 , 2023 2023 Citations: 59
Matrix games with intuitionistic fuzzy pay-offs MR Seikh, PK Nayak, M Pal Journal of Information and optimization sciences 36 (1-2), 159-181 , 2015 2015 Citations: 54