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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.
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    Cited by:

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    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.

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