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New Results for Kharal’s Similarity Measures of Soft Sets

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  • Santanu Acharjee

    (Economics and Computational Rationality Group, Department of Mathematics, Pragjyotish College, Guwahati-09, Assam, India)

Abstract

In this paper, we prove that Lemma 5.7, Proposition 6.8 and Proposition 6.9 of Kharal [A. Kharal, Distance and similarity measures for soft sets, New Mathematics and Natural Computation 6(3) (2010) 321–334] are not correct w.r.t his Definition 5.5. We give suitable examples to show that Lemma 5.7 is not correct. Moreover, we rectify Lemma 5.7, Proposition 6.8 and Proposition 6.9 by providing suitable proofs.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:nmncxx:v:13:y:2017:i:01:n:s1793005717500053
    DOI: 10.1142/S1793005717500053
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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. 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:

    1. 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.
    2. 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.
    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.

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