https://ir.vidyasagar.ac.in/jspui/handle/123456789/82 2026-04-14T23:48:32Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7889 Title: Vertex Contraction Operations in Advanced Fuzzy Graph Types: Intuitionistic, Pythagorean, Neutrosophic, and Bipolar Extensions Authors: Ali, Shanookha; Rashmanlou, Hossein; Mofidnakhaei, Farshid Abstract: This paper extends the fundamental concept of vertex contraction in fuzzy graphs to advanced fuzzy graph structures, including intuitionistic fuzzy graphs (IFGs), Pythagorean fuzzy graphs (PFGs), neutrosophic graphs (NGs), and bipolar fuzzy graphs (BFGs). Formal definitions of contraction operations are developed to preserve the essential characteristics of each graph type. The effects of these operations on domination parameters are examined, and several theoretical properties are established, including the preservation of hesitancy degrees, the behavior of membership functions, and structural invariants. The proposed framework offers a unified approach to graph simplification and network analysis in uncertain environments characterized by multiple dimensions of uncertainty. Applications to multi-criteria decision-making, social network analysis, and conflict resolution systems are also discussed. Description: PP : 1-9 2025-12-31T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7888 Title: Fuzzy β-Open Mappings and Their Structural Properties in Fuzzy Topological Spaces Authors: Thilushan, S; Elango, P Abstract: This paper focuses on the study of fuzzy β-open maps within the framework of fuzzy topological spaces. Definitions and examples are presented to illustrate the behaviour of fuzzy β-open mappings. Several characterizations of fuzzy β-open maps are obtained using fuzzy β-interior and fuzzy β-closure operators. The relationships between fuzzy β-open maps and other well-known classes of fuzzy open-type mappings such as fuzzy open, fuzzy α-open, fuzzy semi-open, and fuzzy pre-open maps are also discussed. In addition, the notion of M-fuzzy β-open maps from existing literature is included to provide a broader perspective. The results contribute to the theoretical understanding of openness structures in fuzzy topology Description: PP : 11-17 2025-12-31T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7887 Title: A Comprehensive Review of Magnetohydrodynamic Non-Newtonian Nanofluid Flows with Micro polarity, Bioconvection, and Fuzzy Modelling: Numerical Advances and Emerging Applications Authors: Ramya, N.; Rashmanlou, Hossein; Mofidnakhaei, Farshid Abstract: Magnetohydrodynamic (MHD) nanofluid flow over stretching and inclined surfaces has attracted considerable attention due to its wide range of applications in energy systems, thermal management, biomedical transport, and materials processing. This review presents a comprehensive synthesis of recent numerical investigations on Casson, micropolar, Williamson, Carreau, and Sisko nanofluids, emphasizing the combined effects of magnetic fields, porous media, thermal radiation, bioconvection, chemical reactions, and fuzzy logic modeling. Particular attention is given to ternary hybrid nanofluids, homogeneous–heterogeneous reactions, Cattaneo–Christov heat flux, and gyrotactic microorganism transport, which represent emerging directions in modern nanofluid research. The review critically evaluates the governing models, numerical methodologies, and parametric trends reported in recent literature, highlighting the transition from classical Buongiorno-based models to intelligent fuzzy-assisted frameworks. Open challenges and future research directions for high-fidelity simulations and real-world engineering applications are also discussed. Description: PP: 19-31 2025-12-31T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/7886 Title: Anti-Fuzzy Lateral Ideals in Regular Γ-Ternary Semigroups Authors: Reddy, U. Nagi; Reddy, P Prathappa; Shobhalatha, G Abstract: Several researchers have concentrated on the triplet operation in algebraic structures in recent years. The primary purpose of this article is to represent a characterisation of fuzzy ideal and anti-fuzzy ideal in regular Γ-ternary semigroups by using some preliminary concepts and basic results of Γ-ternary semigroups Description: PP: 33-40 2025-12-31T00:00:00Z