Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 20 , Issue 3 , PP: 15-23, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space

Suman Das 1 * , Rakhal Das 2 , Prasanna Poojary 3 , Vadiraja Bhatta G. R. 4

  • 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)

    • Doi: https://doi.org/10.54216/IJNS.200302

    Received: September 10, 2022 Accepted: March 04, 2023
    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 As :
    Das, Suman. , Das, Rakhal. , Poojary, Prasanna. , Bhatta, Vadiraja. Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 15-23. DOI: https://doi.org/10.54216/IJNS.200302
    Das, S. Das, R. Poojary, P. Bhatta, V. (2023). Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science, (), 15-23. DOI: https://doi.org/10.54216/IJNS.200302
    Das, Suman. Das, Rakhal. Poojary, Prasanna. Bhatta, Vadiraja. Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science , no. (2023): 15-23. DOI: https://doi.org/10.54216/IJNS.200302
    Das, S. , Das, R. , Poojary, P. , Bhatta, V. (2023) . Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science , () , 15-23 . DOI: https://doi.org/10.54216/IJNS.200302
    Das S. , Das R. , Poojary P. , Bhatta V. [2023]. Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space. International Journal of Neutrosophic Science. (): 15-23. DOI: https://doi.org/10.54216/IJNS.200302
    Das, S. Das, R. Poojary, P. Bhatta, V. "Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space," International Journal of Neutrosophic Science, vol. , no. , pp. 15-23, 2023. DOI: https://doi.org/10.54216/IJNS.200302

    Article Statistics

    View
    55677
    Download
    954

    Download