A Study on AG-Groups in Spherical Fuzzy Environment D. Preethi, S. Rajareega New Mathematics and Natural Computation, 2026 An AG-group is an algebraic structure that satisfies the left invertive law and includes its left identity and inverse elements. This framework is naturally suited for representing and manipulating various real-life applications in civil engineering, information engineering, artificial intelligence, and more. In this paper, we present the structural application of AG-groups in data encryption and in the rotational transformation of water molecules. Additionally, numerous authors have explored fuzzy set theory over AG-group systems, yielding many valuable results. Spherical fuzzy set theory, an extension of fuzzy set theory, allows for the representation of uncertainty in decision-making, where there may be multiple possible choices or uncertainty about the degree of membership of an element in a set. However, no prior work has combined spherical fuzzy set theory with AG-groups, which motivates our study. In this paper, we apply spherical fuzzy set theory to AG-groups and introduce the concept of spherical fuzzy AG-subgroupoids. We provide the characterization of spherical fuzzy AG-subgroupoids over AG-groupoids and examine their related properties. As an application of spherical fuzzy sets over AG-groups, we develop the concept of normal spherical fuzzy groups over AG-groups and investigate their various properties.
q-rung linear diophantine fuzzy Schweizer and Sklar power aggregation operators: risk evaluation of third-party vendor selection based on cybersecurity in healthcare IT K Jeevitha, S Rajareega Engineering Research Express, 2025 The primary objective of this study is to develop novel q-rung linear Diophantine fuzzy aggregation operators by incorporating the concept of power aggregation within the Schweizer–Sklar operational framework. To this end, a series of aggregation operators—namely, the power average operator, power weighted average operator, power geometric operator, and power weighted geometric operator—are introduced to enhance information fusion in uncertain environments. Furthermore, a comprehensive decision-making model is proposed, leveraging these operators to effectively handle high degrees of uncertainty, expert hesitancy, and interdependence among evaluation criteria. The applicability of the proposed framework is demonstrated through a case study on cybersecurity risk evaluation for third-party healthcare IT vendor selection. The results indicate that the developed operators provide more consistent, flexible, and reliable assessments compared to existing fuzzy aggregation methods, leading to improved decision accuracy and robustness. Comparative analyses further confirm the superior performance and practical feasibility of the proposed approach in real-world decision-making scenarios.
A Multi-Criteria Framework for Assessing the Sustainable E-Waste Management Methods with Complex Fuzzy Environment S. Rajareega New Mathematics and Natural Computation, 2025 Due to the substantial economic and environmental repercussions of improper E-waste management and treatment, the issue has gained indispensable attention. In recent years, the research has been done about the selection of proper E-waste management methods like site selection, disposal method selection, etc. with fuzzy environments. But in real situations, the major reasons for improper e-waste management are lack of awareness and improper disposal with sustainability. In finding a sustainable awareness-creating program and disposal method for E-waste, the uncertainty and its sustainability of the information make challenges to decision makers, so the problem becomes a two-dimensional problem with uncertainty. This paper uses complex fuzzy terms to illustrate this two-dimensional uncertain information, in which amplitude term represents the uncertainty about alternative and phase term represents the uncertainty about the sustainability of an alternative. First, we present a new framework MULTIMOORA under complex fuzzy structure. Then, in order to solve two-dimensional uncertain information about E-waste, the proposed complex fuzzy-MULTIMOORA method is applied, in which E-waste awareness-creating program and treatment technology selection are done. The sensitivity and comparative analysis are further delivered to validate the effectiveness of the proposed technique.
ENERGY MANAGEMENT POLICY SELECTION IN SMART GRIDS: A CRITIC-CoCoSo METHOD WITH Lq* q-rung ORTHOPAIR MULTI-FUZZY SOFT SETS , Mahalakshmi Pethaperumal, Vimala Jayakumar, , Dragan Pamucar, , S. Rajareega, , Tamil Vizhi Mariappan, and Applied Engineering Letters, 2025 In response to the energy crisis and the global push for sustainability, modern power grids are increasingly integrating renewable energy, plug- in electric vehicles, and energy storage systems. This evolution demands an advanced energy management system capable of handling the variability of renewable resources, uncertainties in electric vehicle performance, fluctuating electricity prices, and dynamic load conditions. To address these challenges, our study introduces a novel decision- making framework that leverages a new score function for comparing q- rung orthopair multi-fuzzy soft numbers. This approach employs the Criteria Importance Through Inter-criteria Correlation (CRITIC) method to determine objective weights while simultaneously incorporating subjective preferences through an integrated weighting scheme. The framework is further enhanced by applying the Combined Compromise Solution (CoCoSo) method within the Lq* q-rung orthopair multi-fuzzy soft decision-making structure to select optimal energy management policies. Extensive sensitivity analysis confirms the robustness and effectiveness of the proposed methodology, offering a promising solution for efficient energy management in modern power systems.
INTEGRATING PYTHAGOREAN FUZZY SOFT SETS WITH SWARA AND WASPAS FOR ENHANCED MCDM IN EDUCATION 5.0: A NOVEL APPROACH FOR NEXT GENERATION ENGINEERING SOLUTIONS Jeevitha Kannan, Vimala Jayakumar, Mahalakshmi Pethaperumal, Rajareega S. Engineering Review, 2025 This paper aims to introduce an innovative approach involving lattice implementation within the context of Pythagorean Fuzzy Soft Sets. It demonstrates several properties of this approach. The principal objective of this research is to amalgamate the Stepwise Weight Assessment Ratio Analysis (SWARA) and Weighted Aggregated Sum Product Assessment (WASPAS) methodologies, thus creating a comprehensive Multiple Criteria Decision-Making (MCDM) framework. This integration not only presents a new perspective in mathematical computing but also has intriguing principles. Within this integrated framework, alternative rankings are determined using the WASPAS approach, while the SWARA method is employed to generate criteria weights. The applicability of our proposed strategy is substantiated by addressing an MCDM challenge in the context of Education 5.0. The effectiveness and accessibility of this approach are evaluated by comparing its outcomes with those of previously established techniques.
Lattice Ordered Neutrosophic Soft Set and Its Usage for a Large-Scale Company in Adopting Best NGO to Deliver Funds During COVID-19 , J. Vimala, S. Rajareega, , D. Preethi, , M. Al-Tahan, , P. Mahalakshmi, , K. Jeevitha, , K. Ashma Banu, and Journal of Computational and Cognitive Engineering, 2023 Soft sets, fuzzy sets, lattices, and their generalisations have always been significant for research on uncertainties. By combining the parameterization tool and neutrosophic logic, neutrosopic soft sets are developed to overcome uncertainty in terms of falsity, indeterminancy and truth membership vaules. In this study, we generalised the concept of lattice(anti-lattice) ordered neutrosophic soft set and some results are demonstrated by using restricted union, restricted intersection, extended union, and extended intersection. Using this theory, an application is developed to assist decision makers in selecting an NGO to use the Covid-19 fund of a large scale company where some order exists among the elements of parameter sets.
Complex intuitionistic fuzzy soft lattice ordered group associated with ℓ-ideal S. Rajareega, J. Vimala, D. Preethi Journal of Discrete Mathematical Sciences and Cryptography, 2023 In this paper, we study the concept of complex intuitionistic fuzzy soft convex ℓ-group . We examine some of its innate algebraic properties theoretically. Moreover, we define the notion of complex intuitionistic fuzzy soft ℓ-ideal . We analyze the relationship between the , structures and corresponding structures in complex intuitionistic fuzzy soft lattice ordered group .
Relation Amidst Fuzzy Hyperlattice-Ordered Group and Hyperlattice Ordered Group Vimala Jayakumar, D. Preethi, S. Rajareega, Seyyed Ahmad Edalatpanah International Journal of Fuzzy Logic and Intelligent Systems, 2023 This paper introduces a new concept called hyperlattice-ordered group with a practical example and some properties.Additionally, we explore the features of algebraic hyperstructures and fuzzy algebraic hyperstructures.Furthermore, the relationship between the fuzzy hyperlatticeordered group and the hyperlattice-ordered group is investigated.
Complex intuitionistic fuzzy soft SWARA-COPRAS approach: An application of ERP software selection Harish Garg, , J. Vimala, S. Rajareega, D. Preethi, Luis Perez-Dominguez, , and Aims Mathematics, 2022 <abstract><p>In this manuscript, we propose an integrated framework based on COmplex PRoportional ASsessment and Step-wise Weight Assessment Ratio Analysis approach within the complex intuitionistic fuzzy soft (CIFS) context. This context is an ideal technique with complex fuzzy foundation that means to denote multi-dimensional data in a concise. In this framework, criteria weights are evaluated by the SWARA technique, and the ranking of alternatives is determined by the COPRAS method using CIFSs. Further, to illustrate the applicability of the presented technique, an empirical case study of ERP software selection problem is taken. A comparative study and sensitivity analysis is presented to verify the strength of the presented methodology.</p></abstract>
Some views on operations and duality in l-IVHFSs and contra-l-IVHFSS A. R. Pandipriya, J. Vimala, S. Rajareega, D. Preethi Aip Conference Proceedings, 2021 The structure of lattice in interval valued hesitant fuzzy soft set was implemented in 2018. In our previous work, the pivotal properties of L-IVHFSS and the effect of its nature in the problem of decision making was explored. In this paper, we appraised the operations of L-IVHFSS and the new conception of Contra-L-IVHFSS. Also the inference of duality in L-IVHFSS and Contra-L-IVHFSS were examined.
Some properties on fuzzy hyperlattice ordered group International Journal of Advanced Science and Technology, 2019
The role of (α, β)-level set on complex intuitionistic fuzzy soft lattice ordered groups International Journal of Advanced Science and Technology, 2019
A Study on AG-Groups in Spherical Fuzzy Environment D Preethi, S Rajareega New Mathematics and Natural Computation 22 (01), 85-97 , 2026 2026 Citations: 1
A Hybrid LOPCOW–PROMETHEE framework under linear Diophantine fuzzy sets for sustainable planning J Kannan, V Jayakumar, D Pamucar, S Rajareega An International Journal of Optimization and Control: Theories … , 2026 2026
q-rung linear diophantine fuzzy Schweizer and Sklar power aggregation operators: risk evaluation of third-party vendor selection based on cybersecurity in healthcare IT K Jeevitha, S Rajareega Engineering Research Express 7 (4), 045252 , 2025 2025
Integrating pythagorean fuzzy soft sets with SWARA and WASPAS for enhanced MCDM in education 5.0: A novel approach for next generation engineering solutions J Kannan, V Jayakumar, M Pethaperumal, R S Engineering Review: Međunarodni časopis namijenjen publiciranju originalnih … , 2025 2025 Citations: 1
Energy Management Policy Selection in Smart Grids: A CRITIC-CoCoSo Method with Lq* q-rung Orthopair Multi-Fuzzy Soft Sets P Mahalakshmi, J Vimala, P Dragan, R S, VM Tamil Applied Engineering Letters 10 (1), 35-47 , 2025 2025 Citations: 2
A Multi-criteria Framework for Assessing the Sustainable E-waste Management Methods with Complex Fuzzy Environment S Rajareega New Mathematics and Natural Computation , 2024 2024 Citations: 2
Relation amidst fuzzy hyperlattice-ordered group and hyperlattice ordered group V Jayakumar, D Preethi, S Rajareega, SA Edalatpanah International journal of fuzzy logic and intelligent systems, 418-424 , 2023 2023 Citations: 3
Some results on complex intuitionistic fuzzy soft ℓ-groups S Rajareega, J Vimala, D Preethi, AB Saeid Journal of Mathematical Extension 17 , 2023 2023
Lattice ordered neutrosophic soft set and its usage for a large-scale company in adopting best NGO to deliver funds during COVID-19 J Vimala, S Rajareega, D Preethi, M Al-Tahan, P Mahalakshmi, ... Journal of Computational and Cognitive Engineering 2 (3), 210-219 , 2023 2023 Citations: 11
Single-valued neutrosophic hyperrings and single-valued neutrosophic hyperideals D Preethi, S Rajareega, J Vimala, G Selvachandran, F Smarandache Collected Papers. Volume XIII: On various scientific topics, 117 , 2022 2022 Citations: 11
Complex intuitionistic fuzzy soft lattice ordered group associated with ℓ-ideal S Rajareega, J Vimala, D Preethi Journal of Discrete Mathematical Sciences and Cryptography, 1-13 , 2022 2022 Citations: 2
Complex intuitionistic fuzzy soft SWARA-COPRAS approach: An application of ERP software selection H Garg, J Vimala, S Rajareega, D Preethi, L Perez-Dominguez AIMS Math 7 (4), 5895-5909 , 2022 2022 Citations: 47
Fuzzy hyperlattice ordered δ - group and its application on blood group system D Preethi, J Vimala, S Rajareega, M Al-Tahan Journal of Intelligent & Fuzzy Systems 41 (5), 5309-5315 , 2021 2021 Citations: 7
Some views on operations and duality in L-IVHFSS and Contra-L-IVHFSS AR Pandipriya, J Vimala, S Rajareega, D Preethi AIP Conference Proceedings 2336 (1), 040025 , 2021 2021
Operations on complex intuitionistic fuzzy soft lattice ordered group and CIFS-COPRAS method for equipment selection process S Rajareega, J Vimala Journal of Intelligent & Fuzzy Systems 41 (5), 5709-5718 , 2021 2021 Citations: 26
Biological inheritance on fuzzy hyperlattice ordered group D Preethi, J Vimala, B Davvaz, S Rajareega Journal of Intelligent & Fuzzy Systems 38 (5), 6457-6464 , 2020 2020 Citations: 13
A systematic study in the applications of fuzzy hyperlattice D Preethi, J Vimala, S Rajareega AIMS Mathematics 6 (2), 1695-1705 , 2020 2020 Citations: 9
Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures S Rajareega, J Vimala, D Preethi Mathematics 8 (5) , 2020 2020 Citations: 24
Some results on single valued neutrosophic hypergroup S Rajareega, D Preethi, J Vimala, G Selvachandran, F Smarandache Infinite Study , 2020 2020 Citations: 7
Implicative and positive implicative filters of residuated lattices in multiset context J Vimala, VS Anusuya Ilamathi, S Rajareega Journal of Discrete Mathematical Sciences and Cryptography 22 (5), 869-882 , 2019 2019 Citations: 9
MOST CITED SCHOLAR PUBLICATIONS
Complex intuitionistic fuzzy soft SWARA-COPRAS approach: An application of ERP software selection H Garg, J Vimala, S Rajareega, D Preethi, L Perez-Dominguez AIMS Math 7 (4), 5895-5909 , 2022 2022 Citations: 47
Operations on complex intuitionistic fuzzy soft lattice ordered group and CIFS-COPRAS method for equipment selection process S Rajareega, J Vimala Journal of Intelligent & Fuzzy Systems 41 (5), 5709-5718 , 2021 2021 Citations: 26
Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures S Rajareega, J Vimala, D Preethi Mathematics 8 (5) , 2020 2020 Citations: 24
Biological inheritance on fuzzy hyperlattice ordered group D Preethi, J Vimala, B Davvaz, S Rajareega Journal of Intelligent & Fuzzy Systems 38 (5), 6457-6464 , 2020 2020 Citations: 13
Lattice ordered neutrosophic soft set and its usage for a large-scale company in adopting best NGO to deliver funds during COVID-19 J Vimala, S Rajareega, D Preethi, M Al-Tahan, P Mahalakshmi, ... Journal of Computational and Cognitive Engineering 2 (3), 210-219 , 2023 2023 Citations: 11
Single-valued neutrosophic hyperrings and single-valued neutrosophic hyperideals D Preethi, S Rajareega, J Vimala, G Selvachandran, F Smarandache Collected Papers. Volume XIII: On various scientific topics, 117 , 2022 2022 Citations: 11
A systematic study in the applications of fuzzy hyperlattice D Preethi, J Vimala, S Rajareega AIMS Mathematics 6 (2), 1695-1705 , 2020 2020 Citations: 9
Implicative and positive implicative filters of residuated lattices in multiset context J Vimala, VS Anusuya Ilamathi, S Rajareega Journal of Discrete Mathematical Sciences and Cryptography 22 (5), 869-882 , 2019 2019 Citations: 9
Fuzzy hyperlattice ordered δ - group and its application on blood group system D Preethi, J Vimala, S Rajareega, M Al-Tahan Journal of Intelligent & Fuzzy Systems 41 (5), 5309-5315 , 2021 2021 Citations: 7
Some results on single valued neutrosophic hypergroup S Rajareega, D Preethi, J Vimala, G Selvachandran, F Smarandache Infinite Study , 2020 2020 Citations: 7
The Role of (α,β) - Level set on Complex Intuitionistic Fuzzy Soft Lattice Ordered Groups S Rajareega, J Vimala, D Preethi Int. J. Adv. Sci. Technol. 28 (9), 116-123 , 2019 2019 Citations: 7
Some properties on fuzzy hyperlattice ordered group D Preethi, J Vimala, S Rajareega International Journal of Advanced Science and Technology 28 (9), 124-132 , 2019 2019 Citations: 4
Relation amidst fuzzy hyperlattice-ordered group and hyperlattice ordered group V Jayakumar, D Preethi, S Rajareega, SA Edalatpanah International journal of fuzzy logic and intelligent systems, 418-424 , 2023 2023 Citations: 3
Energy Management Policy Selection in Smart Grids: A CRITIC-CoCoSo Method with Lq* q-rung Orthopair Multi-Fuzzy Soft Sets P Mahalakshmi, J Vimala, P Dragan, R S, VM Tamil Applied Engineering Letters 10 (1), 35-47 , 2025 2025 Citations: 2
A Multi-criteria Framework for Assessing the Sustainable E-waste Management Methods with Complex Fuzzy Environment S Rajareega New Mathematics and Natural Computation , 2024 2024 Citations: 2
Complex intuitionistic fuzzy soft lattice ordered group associated with ℓ-ideal S Rajareega, J Vimala, D Preethi Journal of Discrete Mathematical Sciences and Cryptography, 1-13 , 2022 2022 Citations: 2
A Study on AG-Groups in Spherical Fuzzy Environment D Preethi, S Rajareega New Mathematics and Natural Computation 22 (01), 85-97 , 2026 2026 Citations: 1
Integrating pythagorean fuzzy soft sets with SWARA and WASPAS for enhanced MCDM in education 5.0: A novel approach for next generation engineering solutions J Kannan, V Jayakumar, M Pethaperumal, R S Engineering Review: Međunarodni časopis namijenjen publiciranju originalnih … , 2025 2025 Citations: 1
A Hybrid LOPCOW–PROMETHEE framework under linear Diophantine fuzzy sets for sustainable planning J Kannan, V Jayakumar, D Pamucar, S Rajareega An International Journal of Optimization and Control: Theories … , 2026 2026
q-rung linear diophantine fuzzy Schweizer and Sklar power aggregation operators: risk evaluation of third-party vendor selection based on cybersecurity in healthcare IT K Jeevitha, S Rajareega Engineering Research Express 7 (4), 045252 , 2025 2025
