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Similarity Measure Of Soft Sets

Author

Listed:
  • PINAKI MAJUMDAR

    (Department of Mathematics, M.U.C Women's College, Burdwan, West-Bengal, Pin-713104, India)

  • S. K. SAMANTA

    (Department of Mathematics, Visva-Bharati, Santiniketan, West-Bengal, Pin-731235, India)

Abstract

Soft set, as a parametrized family of subsets of a crisp universal set, has more ability to handle uncertain information. In this paper, we propose two types of similarity measure between soft sets and made a comparative study of these two techniques. Also we have shown an application of this similarity measure of soft sets.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:01:n:s1793005708000908
    DOI: 10.1142/S1793005708000908
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Huarong Zhang & Minxia Luo, 2019. "The “Generator” of Int-Soft Filters on Residuated Lattices," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    5. Wei Yang, 2013. "New similarity measures for soft sets and their application," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 19-25, March.
    6. Jiří Močkoř, 2021. "Semiring-Valued Fuzzy Sets and F-Transform," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    7. 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.
    8. 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.
    9. 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.
    10. Osmin Ferrer & Arley Sierra & José Sanabria, 2021. "Soft Frames in Soft Hilbert Spaces," Mathematics, MDPI, vol. 9(18), pages 1-15, September.
    11. 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.

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