Members

Members of Fuzzy Mathematics Research Group

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Prof. Dr. Muhammad Akram

Dean & Professor, Institute of Mathematics, University of the Punjab, Lahore.
Profile
dean.science@pu.edu.pk
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Dr. Uzma Ahmad

Professor,
Institute of Mathematics, University of the Punjab, Lahore.
Profile
uzma.math@pu.edu.pk
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Dr. Ather Ashraf

Associate Professor,
Department of Software Engineering, University of the Punjab, Lahore.
Profile
atherashraf@gmail.com
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Dr. Saira Hameed

Assistant Professor,
Institute of Mathematics, University of the Punjab, Lahore.
Profile
saira-hameed@hotmail.com
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Dr. Muhammad Arif Butt

Assistant Professor,
Department of Data Science, University of the Punjab, Lahore.
Profile
arif@pucit.edu.pk
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Mr. Imran Javed

Assistant Professor,
Department of Data Science, University of the Punjab, Lahore.
Profile
Imranj@pucit.edu.pk

Postgraduate Students

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Dr. Ather Ashraf

Associate Professor,
Department of Software Engineering, University of the Punjab, Lahore.

Ph. D. Thesis Title:
Spatial Fuzzy Intelligence for Land Suitability Model,
2012–2015 atherashraf@gmail.com
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Dr. Muhammad Arif Butt

Assistant Professor,
Department of Data Science, University of the Punjab, Lahore.

Ph. D. Thesis Title:
Fuzzy Decision-making Systems for Operating System Kernel, 2013–2019 arif@pucit.edu.pk
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Dr. Shaista Habib

Associate Professor, University of Management and Technology, Lahore.

Ph. D. Thesis Title:
Fuzzy Decision Support Systems for Tunnel Farming in Pakistan, 2013–2019 shaista.habib@umt.edu.pk
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Dr. Musavarah Sarwar

Assistant Professor,
Department of Mathematics, GC Women University, Sialkot.

Ph. D. Thesis Title:
Novel Decision-Making Methods based on m-Polar Fuzzy Graphs, 2014–2017 musavarah656@gmail.com
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Dr. Sundas Shahzadi

Assistant Professor, Department of Mathematics,
University of Education, Bank Road Campus, Lahore.

Ph. D. Thesis Title:
Multi-Attribute Decision-Making Approaches Based on Intuitionistic Fuzzy Soft Graphs, 2014–2017 sundas.shahzadi@ue.edu.pk
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Dr. Fariha Zafar

Assistant Professor,
Department of Mathematics, University of Okara, Okara.

Ph. D. Thesis Title:
Soft Rough Fuzzy Graphs with Applications, 2015–2018 fariha.zafar@uo.edu.pk
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Dr. Hafsa Masood Malik



Ph. D. Thesis Title:
Intuitionistic Fuzzy Rough Graphs With Applications, 2015–2018 Hafsa.masood.malik@gmail.com
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Dr. Arooj Adeel

Assistant Professor, Department of Mathematics, University of Education, Bank Road Campus, Lahore.

Ph. D. Thesis Title:
Novel Hybrid Models Based on Hesitant Fuzzy Sets,
2016–2019
arooj.adeel@ue.edu.pk
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Dr. Ghous Ali

Assistant Professor,
Department of Mathematics, University of Education, Faisalabad Campus.

Ph. D. Thesis Title:
Decision-Making Methods Based on m-Polar Fuzzy N-Soft Rough Sets, 2016–2019 ghous.ali@ue.edu.pk
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Dr. Neha Waseem

Lecturer,
Govt. Islamia Graduate College for Women, Lahore Cantt.

Ph. D. Thesis Title:
m-Polar Fuzzy Elimination and Choice Translating Reality Methods, 2016–2020 neha_waseem@yahoo.com
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Dr. Anam Luqman

Assistant Professor,
Department of Mathematics, University of Education, Multan Campus.

Ph. D. Thesis Title:
Granulation Of Network Models Under Fuzzy Hybrid Information, 2017–2020 anam.luqman@ue.edu.pk
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Dr. Muhammad Saqib

Assistant Professor,
Govt. Graduate College, Kharian.

Ph. D. Thesis Title:
Numerical Methods for Bipolar Fuzzy Differential Equations, 2017–2020 saqib270@yahoo.com
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Dr. Gulfam Shahzadi

Assistant Professor,
Department of Mathematics, University of Management and Technology, Sialkot Campus.

Ph. D. Thesis Title:
Hybrid Decision-Making Models Based on q-Rung Orthopair Fuzzy Information, 2017–2021 gulfam.shahzadi@skt.umt.edu.pk
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Dr. Muzzamal Sitara

Lecturer,
Govt. Associate College for Women, Sangla Hill.

Ph. D. Thesis Title:
Extensions of Graph Structures under q-Rung Picture Fuzzy Environment, 2017–2021 muzzamal.sitara@gmail.com
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Dr. Shumaiza



Ph. D. Thesis Title:
Extension of Multi-Criteria Decision Making Methods using q- Rung Orthopair Fuzzy Information,
2018–2022
shumaiza00@gmail.com
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Dr. Saba Siddique

Assistant Professor,
Department of Mathematics, University of Education, Township Campus, Lahore.

Ph. D. Thesis Title:
Connectivity of Specific Fuzzy Graphs, 2018-2022
saba.siddique@ue.edu.pk
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Dr. Hafiza Saba Nawaz



Ph. D. Thesis Title:
Granular Computing with Pythagorean Fuzzy Information, 2019–2022 sabanawaz707@gmail.com
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Dr. Kiran Zahid

Visiting Assistant Professor,
University of the Punjab, Lahore.

Ph. D. Thesis Title:
Outranking Methods for Multi-Criteria Decision Making with Spherical Fuzzy Sets, 2021-2023 kiran.zahid66@gmail.com
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Dr. Amna Habib

Lecturer,
Govt. Post Graduate College for Women, Samanabad, Lahore.

Ph. D. Thesis Title:
Algorithms for Network Based Models with Pythagorean fuzzy information, 2021-2023 amnahabib96@gmail.com
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Dr. Ghulam Muhammad

Assistant Professor,
Department of Mathematics,
Garrison University, Lahore.

Ph. D. Thesis Title:
Analytical Solutions of Fuzzy Linear fractional Ordinary Differential Equations,
2021-2023 ghulammuhammad@lgu.edu.pk
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Dr. Ayesha Khan


Ph. D. Thesis Title:
Decision-Making Methods Based on 2-Tuple Linguistic q-Rung Picture Fuzzy Sets,
2021 - 2023 ayeshakhan02oct@gmail.com
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Dr. Farwa Ilyas


Ph. D. Thesis Title:
Multi-Criteria Decision Making Models with Interval Rough Numbers,
2022-2024
farwailyas266@outlook.com
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Dr. Inayat Ullah


Ph. D. Thesis Title:
Multi-criteria Decision Making Methods using Z-Number,
2022-2024
inayatullahmoon@gmail.com
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Miss Maheen Sultan

Ph. D. in process, 2022-2025
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Miss Shajeea Jamil

Ph. D. in process, 2021-2026
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Miss Sadaf Zahid

Ph. D. in process, 2023-2026 sadafsadafzahid@gmail.com
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Miss Hina Gulzar

Ph. D. in process, 2023-2026 hinagulzar5@gmail.com
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Miss Maria Shabir

Ph. D. in process, 2023-2027 mariashabir204@gmail.com

Graduate Students

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Mr. Imran Javed


M. Phil Thesis Title:
Intuitionistic Fuzzy Logic Control for Washing Machines, 2011 - 2014 IMRANJ@PUCIT.EDU.PK
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Miss Saira Nawaz


M. Phil Thesis Title:
Regularity in Fuzzy Soft Graphs, 2013 - 2015 saira.nawaz@ue.edu.pk
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Miss Fariha Zafar


M. Phil Thesis Title:
Characterization of Fuzzy Soft Trees, 2013 - 2015 FARIHA.ZAFAR@UO.EDU.PK
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Mr. Muhammad Tahir


M. Phil Thesis Title:
Fuzzy Soft Lines Graphs,
2013 - 2015 rajtahir39@gmail.com
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Miss Rabia Akmal


M. Phil Thesis Title:
On m-polar Fuzzy Graphs Structures, 2013 - 2015 rabia.akmal@ymail.com
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Miss Neha Waseem


M. Phil Thesis Title:
Domination in m− Polar Fuzzy Graphs, 2014 - 2016 NEHA_WASEEM@YAHOO.COM
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Miss Hafiza Reheela Younas


M. Phil Thesis Title:
Certain Properties of Irregular m-Polar Fuzzy Graphs, 2014 - 2016 raheelayounas@ymail.com
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Miss Arooj Adeel


M. Phil Thesis Title:
On m− Polar Fuzzy Labeling Graphs, 2014 - 2016 AROOJ.ADEEL@UE.EDU.PK
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Miss Anam Luqman


M. Phil Thesis Title:
Bipolar Neutrosophic Hypergraphs with Applications, 2015 - 2017 ANAM.LUQMAN@UE.EDU.PK
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Miss Muzzamal Sitara


M. Phil Thesis Title:
Bipolar Neutrosophic Graphs Structures with Applications, 2015 - 2017 MUZZAMAL.SITARA@GMAIL.COM
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Miss Maryam Nasir


M. Phil Thesis Title:
Bipolar Neutrosophic Competition Graphs with Applications, 2015 - 2017 maryamnasir912@gmail.com
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Miss Saba Siddique


M. Phil Thesis Title:
A Study on Neutrosophic Graphs, 2015 - 2017 saba.siddique@ue.edu.pk
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Miss Gulfam Shahzadi


M. Phil Thesis Title:
m-Polar Fuzzy Hypergraphs, 2016 - 2018 gulfam.shahzadi@skt.umt.edu.pk
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Miss Sidra Sayed


M.Phil Thesis Title:
A Study on Rough Neutrosophic Digraphs,
2016 - 2018 sidrasyed@fcoe.edu.pk
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Miss Shumaiza


M. Phil Thesis Title:
TOPSIS and ELECTR-I Decision Making Models under Bipolar Fuzzy Environment,
2016 - 2018 SHUMAIZA00@GMAIL.COM
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Miss Maham Arshad


M. Phil Thesis Title:
Fuzzy Rough Digraphs with Applications, 2016 - 2018 mahamarshad1297@gmail.com
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Miss Nabeela Ishfaq


M.Phil Thesis Title:
Neutrosophic Rough Digraphs with Applications, 2016 - 2018 nabeelaishfaq123@gmail.com
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Miss Hina Gulzar


M.Phil Thesis Title:
Single-Valued Neutrosophic K-Algebras, 2017 - 2019 hinagulzar5@gmail.com
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Miss Amna Habib


M.Phil Thesis Title:
q-Rung Picture Fuzzy Graphs with Applications, 2017 - 2019 amnahabib96@gmail.com
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Miss Farwa Ilyas


M.Phil Thesis Title:
Group Decision Making Methods Based on Pythagorean Fuzzy Model, 2017 - 2019 farwailyas266@outlook.com
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Miss Jawaria Mohsan Dar


M.Phil Thesis Title:
Pythagorean Fuzzy Graphs with Applications, 2017 - 2019 jiadar4@gmail.com
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Mr. Ghulam Muhammad


M.Phil Thesis Title:
Bipolar Fuzzy Linear System of Equations, 2017 - 2019 ghulammuhammad@lgu.edu.pk
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Mr. Danish Saleem


M.Phil Thesis Title:
Certain Notions on Spherical Fuzzy Graphs, 2017 - 2019
danishsaleem493@gmail.com
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Miss Kiran Zahid


M.Phil Thesis Title:
Decision Making Approaches under Complex Pythagorean Fuzzy Information,
2018 - 2020 kiran.zahid66@gmail.com
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Miss Ayesha Khan


M.Phil Thesis Title:
Complex Pythagorean Fuzzy Dombi Aggregation Operators, 2018 - 2020 ayeshakhan02oct@gmail.com
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Miss Ayesha Bashir


M.Phil Thesis Title:
Complex q-Rung Orthopair Fuzzy Aggregation Operators, 2018 - 2020 ayeshaaymd555@gmail.com
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Miss Aqsa Sattar


M.Phil Thesis Title:
Complex Pythagorean Fuzzy Competition Graphs,
2018 - 2020 sattaraqsa47@gmail.com
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Mr. Muhammad Ali Iftikhar


M.Phil Thesis Title:
Methods for Bipolar Fuzzy Linear System of Equations, 2018 - 2020
muhammadali6481@gmail.com
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Miss Maria Shabir


M.Phil Thesis Title:
Complex Spherical Fuzzy N-Soft Sets, 2019 - 2021 mariashabir204@gmail.com
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Miss Rukhsar


M.Phil Thesis Title:
Complex Pythagorean Fuzzy Threshold Graphs,
2019 - 2021 rukhsarrukhsar30@gmail.com
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Mr. Inayat Ullah


M.Phil Thesis Title:
Pythagorean Fuzzy Linear Programming, 2019 - 2021 inayatullahmoon@gmail.com
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Miss Umaira Amjad


M.Phil Thesis Title:
Complex Bipolar Fuzzy N-Soft Sets, 2019 - 2021 umairaamjad1@gmail.com
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Miss Noreen Mustafa


M.Phil Thesis Title:
Complex Fuzzy Threshold Graphs, 2019 - 2021 noreenmustafa06@gmail.com
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Miss Faiza Wasim


M.Phil Thesis Title:
Complex Pythagorean Fuzzy N-Soft Sets, 2019 - 2021 faiza.wasim17@gmail.com
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Miss Maheen Sultan


M.Phil Thesis Title:
Integrated Decision-Making Methods with m-Polar Fuzzy N-soft Sets, 2020 - 2022 maheensultan203@gmail.com
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Miss Naila Ramzan


M.Phil Thesis Title:
Extended Decision-Making Methods with Linguistic Fermatean Fuzzy Sets,
2020 - 2022 nailaramzan514@gmail.com
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Miss Tayyaba Ihsan


M.Phil Thesis Title:
Analytical Study to Find the Solution of Fuzzy Differential Equation Using Laplace Operator, 2020 - 2022 tayyabaihsan716@gmail.com
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Miss Uzma Noreen


M.Phil Thesis Title:
Integrated Decision Making Methods with 2-Tuple Linguistic m-Polar Fuzzy Sets, 2020 - 2022 uzzmanoreen@gmail.com
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Miss Rabia Bibi


M.Phil Thesis Title:
Enhanced Decision-Making Methods with 2-Tuple Linguistic Fermatean Fuzzy Sets, 2020 - 2022
r7380189@gmail.com
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Miss Zahra Niaz


M.Phil Thesis Title:
Extended CODAS and WASPAS Methods under 2-Tuple Linguistic Fermatean Fuzzy Sets, 2020 - 2022 zahraniaz51214@gmail.com
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Mr. Syed Muhammad Umer Shah


M.Phil Thesis Title:
Transportation Model Under Fermatean Fuzzy Information, 2020 - 2022 m.umer25334@gmail.com
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Miss Afeefa Maryam


M.Phil Thesis Title:
Cubic Pythagorean Fuzzy Graphs, 2020 - 2022 afifamalik0640@gmail.com
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Miss Ayesha Shareef


M.Phil Thesis Title:
Connectivity in Pythagorean Fuzzy Incidence Graphs,
2021 - 2023 ayesharajpoot1999@gmail.com
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Miss Zainab Akram


M.Phil Thesis Title:
Decision-Making Models Based on Fuzzy Rough Numbers, 2021 - 2023 zainabakram994@gmail.com
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Miss Sadaf Zahid


M.Phil Thesis Title:
Decision Making Methods with Pythagorean Fuzzy Rough Number, 2021 - 2023 sadafsadafzahid@gmail.com
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Miss Mehwish Ashraf


M.Phil Thesis Title:
Decision Analysis with Spherical Fuzzy Rough Number, 2021 - 2023 mehwishashraf68@gmail.com
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Mr. Muhammad Yousuf


M.Phil Thesis Title:
Analytical Solution of the Pythagorean Fuzzy Wave Equation, 2021 - 2023
muhammadyousuf1399@gmail.com
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Mr. Muhammad Bilal


M.Phil Thesis Title:
Analytical Solution of Bipolar Fuzzy Heat Equation,
2021 - 2023 mbilalrao1326@gmail.com
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Miss Urooj Fatima

Title: Decision-Making Methods Based on Pythagorean Fuzzy Rough Numbers,
2022 - 2024
urooj.fatima83800@gmail.com
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Miss Mavera Nawaz

Title: Extended Decision-Making Methods with Picture Fuzzy Rough Information,
2022 - 2024
Maveranawaz@gmail.com
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Miss Arooj Hashmi

Title: Integrated Decision-Making Methods with Picture Fuzzy Rough Numbers,
2022 - 2024
aroojhashmi002@gmail.com
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Miss Safina Azam

Title: Decision-Making Methods with Spherical Fuzzy Rough Numbers,
2022 - 2024
azamsafinaazam@gmail.com
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Miss Irum Batool

Title: Fuzzy machine learning method for soil moisture prediction and agricultural suitability analysis,
2023 - 2025
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Miss Nimra Khan

Title: Despeckling noise removal from synthetic aperture radar images using deep learning approaches,
2023 - 2025
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Miss Ayesha Ahmad

Title: Enhancing dry eye diagnosis using a hybrid federated learning approach and multi- criteria decision making,
2023 - 2025
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Miss Zurva Rashid

Title: ,
2024 - 2026
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Miss Laiba Mehmood

Title: ,
2024 - 2026
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Miss Sadia Irshad

Title: ,
2024 - 2026
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Miss Maidah Imran

Title: ,
2024 - 2026

Research Fellows


Contact Us

Department of Mathematics, New Campus, University of the Punjab, Lahore.

+92 42 99231241 Ext. 127, +92 42 99232026

     makram.math@pu.edu.pk
m.akram@pucit.edu.pk