ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Submit Manuscript send
International Journal of Neutrosophic Science
Full Length Article

Volume 20 • Issue 3 • PP: 15-23 • 2023

Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space

Suman Das 1*
mail
,
Rakhal Das 2
mail
,
Prasanna Poojary 3
mail
,
Vadiraja Bhatta G. R. 4
mail
1Department of Mathematics, Tripura University, Agartala, 799022, Tripura, India
2Department of Mathematics, ICFAI University, Kamalghat Agartala, 799210, Tripura, India
3Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, India
4Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.200302
format_quote Cite this article
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: September 10, 2022 Accepted: March 04, 2023
PDF Icon View PDF open_in_new

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.

 

 

 

Cite This Article

Choose your preferred format

format_quote
Das, Suman, Das, Rakhal, Poojary, Prasanna, R., Vadiraja Bhatta G.. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, 2023, pp. 15-23. DOI: https://doi.org/10.54216/IJNS.200302
Das, S., Das, R., Poojary, P., R., V. (2023). Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science, Volume 20(Issue 3), 15-23. DOI: https://doi.org/10.54216/IJNS.200302
Das, Suman, Das, Rakhal, Poojary, Prasanna, R., Vadiraja Bhatta G.. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space." International Journal of Neutrosophic Science Volume 20, no. Issue 3 (2023): 15-23. DOI: https://doi.org/10.54216/IJNS.200302
Das, S., Das, R., Poojary, P., R., V. (2023) 'Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space', International Journal of Neutrosophic Science, Volume 20(Issue 3), pp. 15-23. DOI: https://doi.org/10.54216/IJNS.200302
Das S, Das R, Poojary P, R. V. Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 3):15-23. DOI: https://doi.org/10.54216/IJNS.200302
S. Das, R. Das, P. Poojary, V. R., "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 3, pp. 15-23, 2023. DOI: https://doi.org/10.54216/IJNS.200302
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready