Some novel concepts of interval-valued q-rung orthopair fuzzy graphs and computational framework of fuzzy air conditioning system

• Waheed Ahmad Khan ,

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Supervision, Writing – original draft

  * E-mail: sabbas@pmu.edu.sa (SA); sirwak2003@yahoo.com (WAK)

  Affiliation Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Punjab, Pakistan

  https://orcid.org/0000-0002-7009-5493

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• Sagheer Abbas ,

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Formal analysis, Methodology, Writing – original draft, Writing – review & editing

  * E-mail: sabbas@pmu.edu.sa (SA); sirwak2003@yahoo.com (WAK)

  Affiliation Department of Computer Science, Prince Mohammad Bin Fahd University, Al Khobar, Dhahran, Saudi Arabia

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• Akhlaq Ahmed ,

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – original draft

  Affiliation Division of Science and Technology, Department of Mathematics, University of Education, Lahore, Punjab, Pakistan

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• Madhumangal Pal ,

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Writing – review & editing

  Affiliation Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

  https://orcid.org/0000-0002-6709-836X

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• Muhammad Asif ,

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Formal analysis, Methodology, Visualization, Writing – review & editing

  Affiliation Division of Science and Technology, Department of Computer Science, University of Education, Lahore, Punjab, Pakistan

  https://orcid.org/0000-0002-7841-8613

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• Muhammad Saeed Khan

  Contributed equally to this work with: Waheed Ahmad Khan, Sagheer Abbas, Akhlaq Ahmed, Madhumangal Pal, Muhammad Asif, Muhammad Saeed Khan

  Roles Conceptualization, Investigation, Methodology, Validation, Writing – review & editing

  Affiliation Department of Electrical, Electronics and Computer Systems, College of Engineering and Technology, University of Sargodha, Sargodha, Pakistan

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