Department of Mathematics

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Author: search.filters.author.Dr. Madiha KhalidSubject: search.filters.subject.MATHEMATICS

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    Extended Fuzzy H-Magic Labelings of Some Graphs
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Maham Shahid; SP23-RMT-015; LHR TP 9588; Dr. Madiha Khalid
    Let G⋆ = (V,E) and H = (V⋆,E⋆) be simple, finite, planar, connected and undirected graphs, where every edge of G⋆ belongs to at least one subgraph of G⋆ isomorphic to H. A fuzzy labeling graph G = (κ,τ) on G⋆ is defined by the mappings κ :V → [0,1] and τ : E →[0,1], which are one-to-one and satisfy the condition: τ(uv)
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    Application of Ranking Heptagonal Neutrosophic Fuzzy Numbers to Transportation Problem
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Mudasir Nazar (FA20-BSM-031 : Umer Farooq (FA20-BSM-059); Dr. Madiha Khalid; LHR TP 9923
    This thesis introduces the concept of neutrosophic heptagonal numbers and presents a novel approach for their ranking. Neutrosophic heptagonal numbers extend the realm of neutrosophic numbers to a seven-dimensional space, offering a more comprehensive representation of uncertainty in various real-world appli cations. The developed ranking method provides a structured framework to assess and order these complex numbers, facilitating decision-making processes in uncertain environments. To demonstrate the practical utility of this approach, we apply it to solve a transportation problem framed within the context of a cost matrix. By lever aging the ranking methodology on the cost matrix, we effectively address the uncertainties inherent in transportation planning, optimizing routes, and mini mizing costs. Through computational experiments, we validate the effectiveness and efficiency of the proposed method in handling real-world scenarios charac terized by intricate uncertainties. This research contributes to advancing the understanding and application of neutrosophic heptagonal numbers in decision sciences, offering a valuable tool for analyzing complex systems where uncertainty plays a significant role
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    Application of Ranking Hexaagonal Neutrosophic Fuzzy Numbers to an Assignment Problem
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Usama Talib (FA20-BSM-044) : Zafar Iftikhar (FA20-BSM-054); Dr. Madiha Khalid; LHR TP 9920
    This thesis introduces the concept of neutrosophic hexagonal numbers and presents a novel approach for their ranking. Neutrosophic hexagonal numbers extend the realm of neutrosophic numbers to a seven-dimensional space, offering a more comprehensive representation of uncertainty in various real-world appli cations. The developed ranking method provides a structured framework to assess and order these complex numbers, facilitating decision-making processes in uncertain environments. To demonstrate the practical utility of this approach, we apply it to solve a transportation problem framed within the context of a cost matrix. By lever aging the ranking methodology on the cost matrix, we effectively address the uncertainties inherent in transportation planning, optimizing routes, and mini mizing costs. Through computational experiments, we validate the effectiveness and efficiency of the proposed method in handling real-world scenarios charac terized by intricate uncertainties. This research contributes to advancing the understanding and application of neutrosophic hexagonal numbers in decision sciences, offering a valuable tool for analyzing complex systems where uncertainty plays a significant role