Fermatean Picture fuzzy continuity in Fermatean Picture fuzzy topological spaces
Keywords:
Fermatean Picture fuzzy set, Fermatean Picture Fuzzy topological spaces, Fermatean Picture Fuzzy continuous mapping, FPF-β connectednessAbstract
The purpose of this paper is to define a new Picture fuzzy continuous mapping in Fermatean Picture fuzzy topological spaces and investigate its fundamental properties. In addition, we explore a key topological concept FPF- connectedness within the framework of Fermatean Picture fuzzy topology.
Downloads
References
Atanassov.K, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20(1986), 87-96. DOI:http://dx.doi.org/10.1016/S0165-0114(86)80034-3
Atanassov. K, Intuitionistic Fuzzy Sets, Theory and Applications, Heidelberg: Physica-Verlag, (1999), 1-137. DOI:https://doi.org/10.1007/978-3-7908-1870-3_1.
Atanassov. K and Gargov.G, Interval-Valued Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 31 (1989) 343- 349. DOI:http://dx.doi.org/10.1016/0165-0114(89)90205-4.
Broumi. S, Smarandache.F, Correlation Coefficient of Interval Neutrosophic set, Proceedings of the International Conference ICMERA, Bucharest, 436, 511-517, 2013. DOI:10.5281/zenodo.48908.
Broumi.S, Smarandache.F, Several Similarity Measures of Neutrosophic Sets ,Neutrosophic Sets and Systems, 1, 54–62, 2013. https://philarchive.org/rec/BROSSM-3
Cuong,B.C., Kreinovich,V. Picture Fuzzy Sets - a new concept for computational intelligence problems, Digital Object Identifier inserted by IEEE, WICT 2013. DOI:10.1109/WICT.2013.7113099.
Cuong,B.C., Picture fuzzy sets, Journal of Computer Science and Cybernetics, February 2015, 30(4). DOI:10.15625/1813-9663/30/4/5032.
Cuong,B.C., Pythagorean picture fuzzy sets, part 1- basic notions, Journal of Computer Science and Cybernetics, 35(4), 293–304, 2019. DOI 10.15625/1813-9663/35/4/13898.
H.Z.Ibrahim, Fermatean Fuzzy Topological Spaces”, Journal of Applied Mathematics & informatics, 40(1), 85-98, 2022. DOI:https://doi.org/10.14317/jami.2022.085.
Ibrahim, Hariwan Z., Al-shami, Tareq M., Elbarbary, O. G., (3,2) - Fuzzy Sets and Their Applications to Topology and Optimal Choices, Computational Intelligence and Neuroscience, 2021. DOI:10.1155/2021/1272266
Jun.Y.B and Lee.K.L, Closed cubic ideals and cubic subalgebras in BCK/BCI algebras, Appl. Math. Sci. 4, 3395–3402, 2010. https://www.researchgate.net/publication/266573578_Closed_cubic_ideals_and_cubic_-subalgebras_in_BCKBCI-algebras.
Jun.Y.B, Lee.K.J and Kang.M.S, Cubic structures applied to ideals of BCI algebras, Comput. Math. Appl. 62, 3334–3342, 2011. https://core.ac.uk/download/pdf/82560926.pdf
V.Chitra, B.Maheswari, Fermatean Picture Fuzzy Sets, Advances in Nonlinear Variational Inequalities, 28, 390-399, 2024. DOI:10.52783/anvi.v28.2441.
Wang,H., Smarandache,F., Zhang,Y.Q., & Sunderraman,R, Interval neutrosophic sets and logic: theory and applications in computing, 2005. DOI:10.5281/zenodo.8818.
X.Peng, Y.Yang, Some Results for Pythagorean Fuzzy Sets, International Journal of Intelligent Systems, 30, 1133-1160, 2015. DOI:10.1002/int.21738.
Yager.R.R, Pythagorean Fuzzy Subsets, In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada,57-61, 2013. https://doi.org/10.1109/IFSA-NAFIPS.2013.6608375
Y.B.Jun, F.Smarandache, C.S.Kim. Neutrosophic Cubic Sets; New Mathematics and Natural Computation 13(1), November, 2015. https://doi.org/10.1142/S1793005717500041
Y.Yang, J.Li, Arithmetic Aggregation Operators on Type-2 Picture Fuzzy Sets and Their Application in Decision Making, Engineering Letters,31(4), EL_31_4_14, 2023. https://www.engineeringletters.com/issues_v31/issue_4/EL_31_4_14.pdf
Zadeh.L.A, Fuzzy Sets, Inform. and Control, 8, 338-353,1965. DOI:http://dx.doi.org/10.1016/S0019-9958(65)90241-X.
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.



