Browsing by Author "Dr. Atiq-ur-Rehman"

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AConsistency-Driven Group Decision Making Approach with Triangular Fuzzy Reciprocal Preference Relations
(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Malaika Ali; FA23-RMT-021; Dr. Atiq-ur-Rehman; LHR TP 9768
Triangular fuzzy reciprocal preference relations (TFRPRs) are one of the effective tools for expressing the fuzzy and uncertain preferences of decision makers in group decision making. The consistency of TFRPRs is a key prerequisite for reasonable and reliable de cision making. To this end, this study developed an improved multiplicative acceptable consistency group decision-making method based on TFRPRs. By analyzing the compo sition of TFRPRs, the multiplicative consistency index and the corresponding threshold are defined to measure whether TFRPRs have acceptable consistency. This consistency measure reflects the essential characteristics of triangular fuzzy numbers and fully consid ers the multiplicative consistency of the mode value and the multiplicative consistency of the geometric mean based on the central tendency. Then, three inconsistent TFRPR cases are analyzed, and an algorithm for solving TFRPR inconsistency based on mathematical derivation and linear programming model is proposed. Based on the multiplicative accep tance consistency (MACD) of TFRPRs, a MACD-IOWA is proposed to aggregate individ ual TFRPRs into group TFRPRs. The basic principle is that the higher the MACD value, the higher the decision maker’s weight. Finally, the feasibility and effectiveness of the proposed method are verified through case studies, comparative analysis and discussion.
AHP Framework for Group Decision-Making under Hesitant Fuzzy Preference Relations
(Library Information Services COMSATS University Islamabad Lahore Campus, 2025) Rumaisa Ahsan (FA23-RMT-034); Dr. Atiq-ur-Rehman; LHR TP 9780
multi-criteria group decision-making problems with uncertainty based on hesitant fuzzy reference relations by the analytic hierarchy process. Although existing methods are advanced, they basically rely on the traditional preference models, which cannot effectively describe the hesitation and inconsistency that are seen naturally in an expert evaluation due to the limited characteristics of the existing methods. As the existing methods only rely on traditional preference models and cannot effectively describe the hesitation and inconsistency, this study introduces a TL-consistency based normalization strategy to normalize the incomplete hesitant fuzzy preference relations. The handling of group preferences involves a systematic process consisting of normalization, consistency assessment, agreement evaluation, and aggregation methods to ensure a consistent and analytically reliable representation of the group preference. In this phase, priority weights of the decision-makers from the previous two steps. The global alternatives rankings are derived by combining normalized hesitant fuzzy preference relations and forming a consistent evaluation matrix with a combined AHP. A numerical example illustrates the applicability of the approach, demonstrating the clarity and practical interpretability of the derived results and providing a case for generating strong decisions. This framework adds to the existing literature by increasing the possibility of consensus and consistency under conditions of ambiguity, subjectivity, and incomplete preference information in group decision-making settings.
Consensus Based Multi-Person Decision Making Using Average Operator in Incomplete Multiplicative Preference Relation’s Environment
(Library Information Services, CUI Lahore, 2023) Mohammad Amaid Siddiqui; CIIT/SP21-RMT-040/LHR; Dr. Atiq-ur-Rehman
I dedicate this thesis to my loving family, who have always been there for me. Their enduring trust in my skills and their selﬂessness along this trip provided the groundwork for my achievement. I am incredibly appreciative of my mother’s unconditional support and love, constant tolerance, and faith in me. Their constant support has been my compass, encouraging me to keep going even in the most trying circumstances. I also want to express my sincere gratitude to my sister and my extended family for their support and kindness. They have given me the courage and inspiration to achieve my academic goals since they are in my life. I want to thank my committed supervisor for their guidance expertise and insightful feedback during this study endeavour. Their guidance has been crucial in guiding my academic growth and fostering my thirst for knowledge. Finally, I want to convey my sincere thanks to the person closest to me who has supported, encouraged and understood me during the whole tenure. Your conﬁdence in my abilities and your unﬂagging support have been crucial to my success. This thesis represents our combined efforts and common path. I appreciate every single one of your contributions for being a part of my life and for encouraging me forward.
Consistency and Consensus Based Group Decision Making with Intuitionistic Multiplicative Preference Relations
(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Ghaniya Irfan; FA23-RMT-010; Dr. Atiq-ur-Rehman; LHR TP 9758
The primary objective of this research is to apply a distance-based consensus-reaching method within the framework of Intuitionistic Multiplicative Preference Relations to a group project investment decision. Experts provide pairwise preference matrices that capture their degrees of preference, non-preference, and hesitation. By measuring the distance between individual and collective matrices, the process evaluates the level of consensus and, if necessary, initiates iterative adjustments to align expert opinions. Ul timately, we use intuitionistic outranking flows to rank the alternative. This method effectively addresses uncertainty and inconsistency, thereby enhancing the robustness of group decisions in real-world investment contexts.
Group Decision-Making Based on Linguistic Intuitionistic Fuzzy Numbers and Yager Weighted Aggregation Operator
(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Aqsa; FA23-RMT-004; Dr. Atiq-ur-Rehman; LHR TP 9752
We put forward two novel group decision making methods that utilize the propose Lin guistic Intuitionistic Fuzzy Yager Weighted Arithmetic Aggregation Operator for linguistic intuitionistic fuzzy numbers. The first proposed GDM addresses the situation where the weights of experts and attributes are fully understood; the second GDM approach that is being proposed takes into account the situation in which the weights of experts and the weights of attributes are entirely unknown. First, we propose new operational laws for LIFNs that are based on Yagers’ norm, specifically the addition operation and scalar mul tiplication operations for LIFNs can overcome the limitations of the current addition and scalar multiplication operations of LIFNs. After that, we put forward the LIFYWA AO of LIFN, relying on the proposed addition and scalar multiplication of LIFNs. We also demonstrate several characteristics of the suggested LIFYWA AO. Ultimately, we put for wardtwonewGDMmethodsofLIFNsbasedontheproposedLIFYWAAO.Thesuggested GDMmethodscanovercomethelimitations of current GDM approaches, which are unable to differentiate between the ranking orders of alternatives in certain cases.
Supplier Selection Using Multi-Attributive Border Approximation Area Comparison (MABAC) Model in Different Fuzzy Environments
(Library Information Services COMSATS University Lahore Campus, 2024-03-17) Saleha Javed; SP23-RMT-029; Dr. Atiq-ur-Rehman; LHR TP 9565
The main objective of this study is to develop a supplier selection approach that incorpo rates Multi-Attribute Border Approximation Area Comparison (MABAC) in three different fuzzy environments: Intuitionistic fuzzy MABAC, fuzzy MABAC, and Pythagorean fuzzy MABAC. By addressing uncertainties and assessments related to qualitative aspects such as quality, responsiveness, and reliability, the technique aims to optimize competing crite ria. Initially, the fuzzy MABAC methods utilize fuzzy evaluations to determine supplier ranks. Subsequently,fuzzy technologies that address imprecision in decision-making are integrated to assess the consistency of supplier rankings. The robustness of the approach is demonstrated by the consistent rankings of the best and worst suppliers across all three fuzzy environments. This innovative approach provides a reliable method for selecting sup pliers, ensuring that businesses can make informed decisions that consider both qualitative and quantitative factors even in uncertain circumstances.
Yager’s Prioritized Model for Multi-Attribute Group Decision-Making Using p,q-Quasirung Orthopair Fuzzy Information
(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2025) Nisha Ashfaq; CIIT/SP24-RMT-014/LHR; Dr. Atiq-ur-Rehman; LHR TP 10075
This study presents a multi-attribute group decision-making (MAGDM) approach based on Yager’s prioritized model under the framework of p,q-quasirung orthopair fuzzy sets (p,q-QROFSs). The proposed method effectively handles uncertainty and vagueness in decision-making environments while considering the priority relationships among decision attributes. Aggregation operators are developed to combine experts’ evaluations expressed in p,q-quasirung orthopair fuzzy information. The Yager prioritized mechanism is incorporated to reflect the relative importance of attributes and decision-makers. The effectiveness and practicality of the proposed approach are demonstrated through a numerical example and comparative analysis. Results indicate that the method provides reliable and flexible decision support for complex group decision-making problems involving uncertain information.