Issue:Intuitionistic fuzzy hemiring structure spaces

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Title of paper: Intuitionistic fuzzy hemiring structure spaces Author(s): R. Jeevitha School of Mathematics, A.V.P. College of Arts and Science (co-education), T.M.Poondi, Tirupur-641652, Tamilnadu, India jeeviram0309@gmail.com M. Rowthri School of Mathematics, A.V.P. College of Arts and Science (co-education), T.M.Poondi, Tirupur-641652, Tamilnadu, India rowth3.m@gmail.com S. Meenakshi Department of Mathematical and Computational Sciences, Sri Sathya Sai University of Human Excellence, Kalaburagi, Karnataka meenakshi.s@sssuhe.ac.in V. Madhuri     0000-0003-1036-2892 Department of Mathematics, Sona College of Technology, Salem 636005, India madhutmr89@gmail.com Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 4, pages 629–645 DOI: https://doi.org/10.7546/nifs.2025.31.4.629-645 Download:  PDF (853  Kb, File info) Abstract: The classical notion of hemirings through Atanassov’s intuitionistic fuzzy sets by extending the concepts of intuitionistic fuzzy hemiring structure spaces. Further we explore the relationships between intuitionistic h open sets, intuitionistic fuzzy hα open sets and their corresponding closure and interior operators within hemiring structure spaces. Also intuitionistic fuzzy hemiring shrinking and an intuitionistic fuzzy hemiring swelling in fuzzy hemiring spaces are introduced and some of their characteristics have studied. Keywords: Intuitionistic fuzzy hemiring, Intuitionistic fuzzy hα open hemiring, Intuitionistic fuzzy hemiring shrinking, Intuitionistic fuzzy hemiring swelling. AMS Classification: 54A40, 03E72. References: Abbas, F. H. (2021). On h-open sets and h-continuous functions. Boletim da Sociedade Paranaense de Matematica, 41, DOI: 10.5269/bspm.51006 (9 pages). Ali, Y., Chowdhury, K. R., Sultana, A., & Mitra, N. K. (2017). Fuzzy hemirings. Asian Journal of Mathematics and Computer Research, 20(2), 96–103. Ali, Y., Chowdhury, K. R., Sultana, A., & Mitra, N. K. (2017). Some structures of hemirings. Pure and Applied Mathematics Journal, 6(1), 45–50. Amudhambigai, B., Krithika, N., & Dhavaseelan, R. (2017). Covering dimension of fuzzy normal spaces. The Journal of Fuzzy Mathematics, 25(2), 275–284. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg. Azad, K. K. (1981). On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. Journal of Mathematical Analysis and Applications, 82(1), 14–32. Balasubramaniyam, K., Sriram, S., & Ravi, O. (2013). Mildly fuzzy normal spaces and some functions. Journal of Mathematical and Computational Science, 3(4), 1094–1107. Bin Shahna, A. S. (1991). On fuzzy strong semicontinuity and fuzzy precontinuity. Fuzzy Sets and Systems, 44(2), 303–308. Hutton, B. (1975). Normality in fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 50(1), 74–79. Chang, C. L. (1968). Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24(1), 182–190. Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets Systems, 88(1), 81–89. Imran, Q. H., & Melgat, B. M. (2014). New characterization of kernel set in fuzzy topological spaces. International Journal of Computer Engineering and Technology, 5(4), 165–174. Kubiak, T. (1987). L-fuzzy normal spaces and Tietze extension theorem. Journal of Mathematical Analysis and Applications, 125(1), pp. 141–153. Njåstad, O. (1965). On some classes of nearly open sets. Pacific Journal of Mathematics, 15(3), 961–970. Pu, P.-M., & Liu, Y.-M. (1980). Fuzzy topology I. Neighborhood structure of a fuzzy point and Moore–Smith convergence. Journal of Mathematical Analysis and Applications, 76(2), 571–599. Singal, M. K., & Rajvansi, N. (1992). Fuzzy alpha-sets and alpha continuous maps. Fuzzy Sets and Systems, 48(3), 383–390. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.