Soft quantum logic and Łukasiewicz fuzzy topology
Majd Hamid Mahmoodmgmg227@yahoo.comDepartment of Mathematics College of Education Al-Mustansiriyah UniversityBaghdad, 10052, Iraq0000-0002-1234-5678View full profile → , *Maysoon QousiniCorresponding authorM.qousini@zuj.edu.joDepartment of Mathematics Al-Zaytoonah University of JordanFaculty of Science and Information Technology Al-zaytoonah University of JordanAmman, 11183, Jordan0000-0001-6658-2654View full profile →
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- Received:
- 07 May 2025
- Published Online:
- 09 Feb 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2404
- Pages:
- 491–504
Abstract
Keywords
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References
[1] C. L. Change, “Fuzzy topological spaces,” J. Math. Anal. Appl., vol. 24, pp. 182–190 (1968).
[2] R. Giles, “Łukasiewicz logic and fuzzy set theory,” Int. J. Man-Machine Studies, vol. 67, pp. 313–327 (1976).
[3] J. Łukasiewicz and A. Tarski, Investigations in the Sentential Calculus. Translation in J. Łukasiewicz Selected Works. Amsterdam: Reidel, 1970; also in A. Tarski, Logic, Semantics, Metamathematics. Oxford: Clarendon Press (1956).
[4] D. Molodtsov, “Soft set theory – first results,” Comput. Math. Appl., vol. 37, pp. 19–31 (1999).
[5] S. Nadaban, “From classical logic to fuzzy logic and quantum logic: A general view,” Int. J. Comput. Commun. Control, vol. 16, no. 1 (Feb. 2021).
[6] I. A. Onyeeozili and D. Singh, “A study of the concept of soft set theory and survey of its literature,” ARPN J. Sci. Technol., vol. 3, no. 1, pp. 61–68 (2013).
[7] E. Peyghan, B. Samadi, and A. Tayebi, “About soft topological spaces,” J. New Results Sci., no. 2, pp. 60–75 (2013).
[8] A. Al-Adilee, H. K. Abdullah, and H. A. Al-Challabi, “Study of T-norms and quantum logic functions on BL-algebra and their relationships to the classical probability structures,” Iraqi J. Sci., vol. 61, no. 3, pp. 591–599 (2020).
[9] M. Yousif, “Quantum deep learning: A review,” Iraqi J. Sci., vol. 65, no. 8, pp. 4588–4605 (2024).
[10] E. Almuhur, M. Al-Labadi, M. Qousini, and R. Bashir, “Strongly Dαp-closed graphs in bitopological spaces,” Int. J. Adv. Appl. Sci., vol. 11, no. 9, pp. 121–125 (2024).
[11] J. Pykacz, “Fuzzy quantum logics and infinite-valued Łukasiewicz logic,” Int. J. Theor. Phys., vol. 33, pp. 1403–1416 (1994).
[12] J. Pykacz, “Quantum structure and fuzzy set theory,” in K. Engesser, D. M. Gabbay, and D. Lehmann, Eds., Handbook of Quantum Logic and Quantum Structures: Quantum Structures, Ch. 2, pp. 55, Elsevier B.V. (2007).
[13] M. Shabir and M. Naz, “On soft topological spaces,” Comput. Math. Appl., vol. 61, pp. 1786–1799 (2011).
[14] S. Willard, General Topology. Reading, MA: Addison-Wesley (1970).




