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Lotfi A. Zadeh was a versatile scholar, known for his contributions to various fields such as mathematics, computer science, electrical engineering, and artificial intelligence. He held the position of a computer science professor at the University of California, Berkeley. Zadeh's most notable achievement lies in introducing the concept of fuzzy mathematics, which encompasses several related concepts like fuzzy sets, fuzzy logic, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control, fuzzy systems, fuzzy probabilities, fuzzy events, and fuzzy information. In his theory of fuzzy sets, Zadeh proposed the use of a membership function, operating on a domain of possible values and ranging from 0 to 1. This approach introduced novel operations for logic calculus, demonstrating that fuzzy logic serves as a generalization of classical and Boolean logic. Furthermore, he presented fuzzy numbers as a distinct category within fuzzy sets and established rules for consistent mathematical operations, giving rise to fuzzy arithmetic.

Zadeh's research, particularly in the realm of fuzzy sets and fuzzy logic, has left a lasting impact on artificial intelligence. The foundation of fuzzy mathematics aligns with our understanding of human cognition, acknowledging our comfort with concepts characterized by vague boundaries.

Members of Fuzzy Mathematics Research Group

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chairman.math@pu.edu.pk

Department of Mathematics, University of the Punjab, Lahore.

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uzma.math@pu.edu.pk

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

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atherashraf@gmail.com

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

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arif@pucit.edu.pk

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

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Imranj@pucit.edu.pk

Akram, M., Zahid, K., and Kahraman, C., A new ELECTRE-based decision-making framework with spherical fuzzy information for the implementation of autonomous vehicles project in Istanbul, Knowledge-Based Systems, 283(2024), 111207. https://doi.org/10.1016/j.knosys.2023.111207

Akram, M., Zahid, S., and Deveci, M., Enhanced CRITIC-REGIME method for decision making based on Pythagorean fuzzy rough number, Expert Systems with Applications, 238(2024), 122014, https://doi.org/10.1016/j.eswa.2023.122014

Akram, M., and Ullah, I., Solution of Z-number-based multi-objective linear programming models with different membership functions, Information Sciences, 659(2024), 120100, https://doi.org/10.1016/j.ins.2024.120100

Akram, M., Yousuf, M. & Allahviranloo, T. An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability, Granular Computing, 9, 15 (2024). https://doi.org/10.1007/s41066-023-00440-8

Akram, M., Ilyas, F., and Deveci, M., Interval rough integrated SWARA-ELECTRE model: An application to machine tool manufacturing, Expert Systems with Applications, 238(2024), 122067, https://doi.org/10.1016/j.eswa.2023.122014

Muhammad, G., and Akram, M., Fuzzy fractional epidemiological model for middle east respiratory syndrome coronavirus on complex heterogeneous network using Caputo derivative, Information Sciences, 659(2024), 120046, https://doi.org/10.1016/j.ins.2023.120046

Akram, M., Ahmad, U., Al-Shamiri, M.M.A. et al. Algorithms for computing Pythagorean fuzzy average edge connectivity of Pythagorean fuzzy graphs, Journal of Applied Mathematics and Computing, (2024). https://doi.org/10.1007/s12190-023-01970-9

Habib, A., Akram, M. Optimizing traveling salesman problem using tabu search metaheuristic algorithm with Pythagorean fuzzy uncertainty, Granular Computing, 9, 16 (2024). https://doi.org/10.1007/s41066-023-00424-8

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