Volume 6 , Issue 1 , PP: 29-38, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
P. Arulpandy 1 *
Doi: https://doi.org/10.54216/JNFS.060104
In this article, we have introduced a bipolar neutrosophic soft point and investigated some of the properties with appropriate examples. Further, we have defined bipolar neutrosophic soft continuous mapping through bipolar neutrosophic soft points. Some results have been produced as theorems and examples. Further, we have discussed the relationship between the proposed mapping with the various existing mappings.
Neutrosophic set , Bipolar neutrosophic soft set , Continuous mappings , Bipolar neutrosophic soft point , Bipolar neutrosophic soft continuous mapping , Bipolar neutrosophic soft open and closed sets.
[1] Florentin Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth, American Research Press, 1998.
[2] Florentin Smarandache. Neutrosophy: A new branch of philosophy, Multiple valued logic: An international journal, 8(2002), 297-384.
[3] Irfan Deli; Mumtaz Ali and Florentin Smarandache. Bipolar Neutosophic sets and Their applications based on multi-criteria decision making problems, Proceedings of Int. Conf. on Advanced Mechatronic systems, 2015, 249-254.
[4] D. Molodtsov. Soft set theory - First results, Computers and Mathematics with applications, 37(1999), 4-5, 19-31.
[5] Mumtaz Ali; Le Hoang Son; Irafan Deli and Nguyen Dang Tien. Bipolar neutrosophic soft sets and applications in decision making, Journal of Intelligent and Fuzzy Systems, 33(2017), 6, 4077-4087.
[6] P. Arulpandy and M. Trinita Pricilla. Some similarity and entropy measurements of bipolar neutrosophic soft sets, Neutrosophic sets and systems, 25(2019), 1, 174-194.
[7] P Arulpandy and M Trinita Pricilla. Reduction of indeterminacy of grayscale image in bipolar neutrosophic domain, Neutrosophic sets and systems, 28(2019), 1, 1-12.
[8] Zadeh LA; Fuzzy Sets. Information and Control 1965; 8 (3), 338-353.
[9] Atanassov K.; Intuitionistic fuzzy sets. Fuzzy set and systems 1999; 20, 87-96.
[10] Taha Yasin Ozturk and Tugba Han Dizman. A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces, Neutrosophic Sets and Systems, 30(2020), 1, 22-33.