IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v14y2018i01ns1793005718500011.html
   My bibliography  Save this article

On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory

Author

Listed:
  • Santanu Acharjee

    (Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat 785621, Assam, India)

Abstract

This paper focuses on two very important questions: “what is the future of a hybrid mathematical structure of soft set in science and social science?” and “why should we take care to use hybrid structures of soft set?”. At present, these are the most fundamental questions; which encircle a few prominent areas of mathematics of uncertainties viz. fuzzy set theory, rough set theory, vague set theory, hesitant fuzzy set theory, IVFS theory, IT2FS theory, etc. In this paper, we review connections of soft set theory and hybrid structures in a non-technical manner; so that it may be helpful for a non-mathematician to think carefully to apply hybrid structures in his research areas. Moreover, we must express that we do not have any intention to nullify contributions of fuzzy set theory or rough set theory, etc. to mankind; but our main intention is to show that we must be careful to develop any new hybrid structure with soft set. Here, we have a short discussion on needs of artificial psychology and artificial philosophy to enrich artificial intelligence.

Suggested Citation

  • Santanu Acharjee, 2018. "On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-9, March.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:01:n:s1793005718500011
    DOI: 10.1142/S1793005718500011
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005718500011
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005718500011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Çagman, Naim & Enginoglu, Serdar, 2010. "Soft set theory and uni-int decision making," European Journal of Operational Research, Elsevier, vol. 207(2), pages 848-855, December.
    2. Pinaki Majumdar & S. K. Samanta, 2008. "Similarity Measure Of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-12.
    3. Santanu Acharjee & Binod Chandra Tripathy & Kyriakos Papadopoulos, 2017. "Two Forms of Pairwise Lindelöfness and Some Results Related to Hereditary Class in a Bigeneralized Topological Space," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 181-193, July.
    4. Santanu Acharjee, 2017. "New Results for Kharal’s Similarity Measures of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 55-60, March.
    5. Athar Kharal, 2010. "Distance And Similarity Measures For Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 6(03), pages 321-334.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Acharjee S, 2018. "There’s Plenty of Room at Bottom of Biostatistics and Biometrics," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(4), pages 116-117, April.
    2. Xi Chen & Pooja Yadav & Rashmi Singh & Sardar M. N. Islam, 2023. "ES Structure Based on Soft J-Subset," Mathematics, MDPI, vol. 11(4), pages 1-9, February.
    3. Antonio-José Moreno-Guerrero & Inmaculada Aznar-Díaz & Pilar Cáceres-Reche & Santiago Alonso-García, 2020. "E-Learning in the Teaching of Mathematics: An Educational Experience in Adult High School," Mathematics, MDPI, vol. 8(5), pages 1-16, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Huarong Zhang & Minxia Luo, 2019. "The “Generator” of Int-Soft Filters on Residuated Lattices," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    2. Wei Yang, 2013. "New similarity measures for soft sets and their application," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 19-25, March.
    3. Acharjee S, 2018. "There’s Plenty of Room at Bottom of Biostatistics and Biometrics," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 6(4), pages 116-117, April.
    4. Santanu Acharjee, 2017. "New Results for Kharal’s Similarity Measures of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 55-60, March.
    5. Iraklis Kollias & John Leventides & Vassilios G. Papavassiliou, 2024. "On the solution of games with arbitrary payoffs: An application to an over‐the‐counter financial market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1877-1895, April.
    6. Jiří Močkoř, 2021. "Semiring-Valued Fuzzy Sets and F-Transform," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    7. Rakhal Das & Anjan Mukherjee & Binod Chandra Tripathy, 2022. "Application of Neutrosophic Similarity Measures in Covid-19," Annals of Data Science, Springer, vol. 9(1), pages 55-70, February.
    8. Raees Khan & Asghar Khan & M. Uzair Khan & Hidayat Ullah Khan, 2018. "Right Pure Uni-Soft Ideals Of Ordered Semigroups," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(1), pages 18-23, January.
    9. Chiranjibe Jana & Madhumangal Pal, 2019. "On ( α , β )-US Sets in BCK / BCI -Algebras," Mathematics, MDPI, vol. 7(3), pages 1-18, March.
    10. Samer Al Ghour & Hanan Al-Saadi, 2023. "Soft Slight Omega-Continuity and Soft Ultra-Separation Axioms," Mathematics, MDPI, vol. 11(15), pages 1-17, July.
    11. Yong Yang & Ling Zeng & Xia Tan & Hao Chen, 2013. "Similarity coefficient in soft set theory," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 119-126, March.
    12. Çagman, Naim & Enginoglu, Serdar, 2010. "Soft set theory and uni-int decision making," European Journal of Operational Research, Elsevier, vol. 207(2), pages 848-855, December.
    13. Sabeena Begam S & Vimala J & Ganeshsree Selvachandran & Tran Thi Ngan & Rohit Sharma, 2020. "Similarity Measure of Lattice Ordered Multi-Fuzzy Soft Sets Based on Set Theoretic Approach and Its Application in Decision Making," Mathematics, MDPI, vol. 8(8), pages 1-15, July.
    14. Samajh Singh Thakur & Alpa Singh Rajput, 2018. "Connectedness Between Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 53-71, March.
    15. Tahir Ayaz & Arif Mehmood Khattak & Nisar Ahmad, 2018. "Supra Soft R-Separation Axioms," Acta Scientifica Malaysia (ASM), Zibeline International Publishing, vol. 2(2), pages 27-31, August.
    16. Santanu Acharjee & Binod Chandra Tripathy & Kyriakos Papadopoulos, 2017. "Two Forms of Pairwise Lindelöfness and Some Results Related to Hereditary Class in a Bigeneralized Topological Space," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 181-193, July.
    17. Zhen-ming Ma & Wei Yang & Bao-Qing Hu, 2010. "Soft set theory based on its extension," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 423-432, December.
    18. Osmin Ferrer & Arley Sierra & José Sanabria, 2021. "Soft Frames in Soft Hilbert Spaces," Mathematics, MDPI, vol. 9(18), pages 1-15, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:14:y:2018:i:01:n:s1793005718500011. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.