1
Department of Mathematics, Tripura University, Agartala, 799022, Tripura, India
(sumandas18842@gmail.com)
2
Department of Mathematics, ICFAI University, Kamalghat Agartala, 799210, Tripura, India
(rakhaldas95@gmail.com)
3
Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India
(poojary.prasanna@manipal.edu)
4
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
(vadiraja.bhatta@manipal.edu)
Abstract :
The main objective of this article is to procure the notion of single-valued quadripartitioned neutrosophic minimal structure space (SVQNMSS) and introduce the notion of single-valued quadripartitioned neutrosophic minimal open set and single-valued quadripartitioned neutrosophic minimal continuous function in it. Further, we study several fundamental properties of continuity in SVQNMSS, such as the composition of single-valued quadripartitioned neutrosophic minimal continuous functions and the product of single-valued quadripartitioned neutrosophic minimal functions in product SVQNMSS.
Keywords :
Indeterminacy; SVQNTS; Minimal Structure; SVQNMSS; Minimal Open Set
References :
[1] Alimohammady, S., and Roohi, M., Fuzzy minimal structure and fuzzy minimal vector space. Chaos, Solitons & Fractals, 27(3), 599-605, 2006.
[2] Azad, K.K., On fuzzy semi continuity, fuzzy almost continuity and fuzzy weekly continuity. Journal of Mathematical Analysis and Application, 82, 14-32, 1981.
[3] Chatterjee, R., Majumdar, P., and Samanta, S.K., On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets. Journal of Intelligent & Fuzzy Systems, 30(4), 2475-2485, 2016.
[4] Das, S., Das, R., and Granados, C., Topology on Quadripartitioned Neutrosophic Sets. Neutrosophic Sets and Systems, 45, 54-61, 2021.
[5] Iswarya, P., and Bageerathi, K., On neutrosophic semi-open sets in neutrosophic topological spaces. International Journal of Mathematical Trends and Technology, 37(3) , 214-223, 2016.
[6] Karthika, M., Parimala, M., Jafari, S., Smarandache, F., Alshumrani, M., Ozel, C., and Udhayakumar, R., Neutrosophic complex -connectedness in neutrosophic complex topological spaces. Neutrosophic Sets and Systems, 29, 158-164, 2019.
[7] Maki, H., Umehara, J., and Noiri, T., Every topological space is pre-T1/2. Mem. Fac. Sci. Kochi. Univ. Math., 17(1996), 33-42, 1996
[8] Salama, A.A., and Alblowi, S.A., Generalized Neutrosophic Set and Generalized Neutrosophic Topological Space. Comp. Sci. Engg., 2, 129-132, 2012.
[9] Min, W.K., On fuzzy weaker r-minimal continuity between fuzzy minimal spaces and fuzzy topological space. International Journal of Fuzzy Logic and Intelligent Systems, 10(4) , 303-307, 2010.
[10] Pal, G., Dhar, R., and Tripathy, B.C., Minimal structures and grill in neutrosophic topological spaces. Neutrosophic Sets and Systems, 51, 134-145,2023.
[11] Parimala, M., Jeevitha, R., Jafari, S., Smarandache, F., and Udhayakumar, R., Neutrosophic -Homeomorphism in Neutrosophic Topological Spaces. Information, 9, 187, 1-10, 2018.
[12] Parimala, M., Karthika, M., Jafari, S., Smarandache, F., and Udhayakumar, R., Neutrosophic Nano ideal topological structure. Neutrosophic Sets and Systems, 24 , 70-76, 2019.
[13] Saha, P., Majumder, P., Das, S., Das, P.K., and Tripathy, B.C., Single-Valued Pentapartitioned Neutrosophic Dice Similarity Measure and Its Application in the Selection of Suitable Metal Oxide Nano-Additive for Biodiesel Blend on Environmental Aspect. Neutrosophic Sets and Systems, 48,154-171, 2022.
[14] Smarandache, F., Neutrosophic set: a generalization of the intuitionistic fuzzy sets. International Journal of Pure and Applied Mathematics, 24, 287-297, 2005.
[15] Tripathy, B.C., and Das, S., Pairwise Neutrosophic b-Continuous Function in Neutrosophic Bitopological Spaces. Neutrosophic Sets and Systems, 43, 82-92, 2021.
[16] Tripathy, B.C., and Debnath, S., Fuzzy m-structure, m-open multifunctions and bitopological spaces. Boletim da Sociedade Paranaense de Mathematica, 37(4), 119-128, 2019.
[17] Tripathy, B.C., Das, R., Das, S., and Poojary P., "Single-valued quadripartitioned neutrosophic infipre-open set in single-valued quadripartitioned neutrosophic infi topological space" Bull. Comput. Appl. Math., 11(1), 1-25, 2023.
[18] Salama, A.A., and Alblowi, S.A., Neutrosophic set and neutrosophic topological space. ISOR Journal of Mathematics, 3(4), 31-35, 2012.
[19] Smarandache, F., A unifying field in logics, neutrosophy: neutrosophic probability, set and logic. Rehoboth: American Research Press, 1998.
| Style | # |
|---|---|
| MLA | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R.. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space." International Journal of Neutrosophic Science, Vol. 20, No. 3, 2023 ,PP. 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |
| APA | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R.. (2023). Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |
| Chicago | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R.. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space." Journal of International Journal of Neutrosophic Science, 20 no. 3 (2023): 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |
| Harvard | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R.. (2023). Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |
| Vancouver | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R.. Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 3 ): 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |
| IEEE | Suman Das, Rakhal Das, Prasanna Poojary, Vadiraja Bhatta G. R., Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 3 , (2023) : 15-23 (Doi : https://doi.org/10.54216/IJNS.200302) |