Final Year Projects (FYPs) - Undergraduates

Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/53

This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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Author: search.filters.author.Dr. Madiha Khalid

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    Application of Ranking Heptagonal Neutrosophic Fuzzy Numbers to a Tansportation Problem
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Mudasir Nazar, Umer Farooq; CIIT/FA22-BSM-031/LHR, CIIT/FA22-BSM-59/LHR; Dr. Madiha Khalid; LHR TP 9924
    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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    Neutrosophic Fuzzy Number Optimized Path in a Network
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Shahzaib Sajid; CIIT/SP21-BSM-029/LHR; Dr. Madiha Khalid; LHR TP 9889
    Fuzzy and neutrosophic numbers are mathematical tools designed to handle un- certainty and imprecision in real-world problems. Fuzzy numbers, grounded in fuzzy set theory, represent values with gradual transitions between membership and non-membership, characterized by a membership function. These numbers effectively model uncertainty when precise values are unavailable, as seen in applications like decision-making, optimization, and engineering systems. Neutrosophic numbers extend this concept by incorporating indeterminacy into the model, a key feature of neutrosophic set theory. They consist of three components: truth (T), indeterminacy (I), and falsity (F), each of which is independently assessed. This structure enables a more nuanced representation of uncertainty, capturing scenarios where incomplete, contradictory, or vague information coexists. Both approaches play crucial roles in addressing the complexity of real-world problems where classical mathematics may fall short. While fuzzy numbers are suitable for problems with well-defined boundaries of uncertainty, neutro- sophic numbers offer superior flexibility in environments with higher levels of indeterminacy. Together, these tools have broadened the scope of uncertainty modeling across disciplines such as artificial intelligence, economics, and risk management
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    Shortest Path Solution of an Intuitionistic Fuzzy Network
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2024) Aleesha; CIIT/SP21-BSM-031/LHR; Dr. Madiha Khalid; LHR TP 9891
    This study focuses on solving the shortest path problem in networks where edge weights are represented as Intuitionistic Fuzzy Numbers (IFNs). Intuitionistic fuzzy sets allow the incorporation of both membership and non-membership degrees, providing a more com- prehensive representation of uncertainty compared to traditional fuzzy sets. The Floyd- Warshall algorithm, a well-established method for finding the shortest paths in weighted graphs, is adapted to work with IFNs. The algorithm operates iteratively, leveraging the properties of IFNs and appropriate fuzzy arithmetic to handle uncertainty in edge weights effectively. The proposed approach ensures that the shortest path calculations consider both the degree of certainty and uncertainty, providing a more robust solution for real- world problems involving imprecise or uncertain data. Numerical examples are presented to demonstrate the effectiveness and accuracy of the adapted algorithm, highlighting its po- tential applications in fields such as transportation, logistics, and communication networks.
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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
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