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On the Relationship Between L-fuzzy Closure Spaces and L-fuzzy Rough Sets

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Mathematics and Computing (ICMC 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 834))

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Abstract

This work is towards the establishment of bijective correspondence between the family of all L-fuzzy reflexive/tolerance approximation spaces and the family of all quasi-discrete L-fuzzy closure spaces satisfying a certain condition.

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Notes

  1. 1.

    In the sense that arbitrary infimum of L-fuzzy \(\tau _{R}\)-open sets is also, an L-fuzzy \(\tau _{R}\)-open.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Mathematics, Statistics and Computational Sciences, Central University of Rajasthan, NH-8, Bandarsindari, Ajmer, 305817, Rajasthan, India

    Vijay K. Yadav

  2. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, India

    Swati Yadav & S. P. Tiwari

Authors
  1. Vijay K. Yadav
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  2. Swati Yadav
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  3. S. P. Tiwari
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Corresponding author

Correspondence to Vijay K. Yadav .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  2. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  3. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  4. Istanbul Commerce University, Istanbul, Turkey

    Ekrem Savas

  5. Kyushu University, Fukuoka, Japan

    Kouichi Sakurai

  6. Indian Institute of Technology (BHU), Varanasi, India

    L. P. Singh

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Yadav, V.K., Yadav, S., Tiwari, S.P. (2018). On the Relationship Between L-fuzzy Closure Spaces and L-fuzzy Rough Sets. In: Ghosh, D., Giri, D., Mohapatra, R., Savas, E., Sakurai, K., Singh, L. (eds) Mathematics and Computing. ICMC 2018. Communications in Computer and Information Science, vol 834. Springer, Singapore. https://doi.org/10.1007/978-981-13-0023-3_25

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  • DOI: https://doi.org/10.1007/978-981-13-0023-3_25

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0022-6

  • Online ISBN: 978-981-13-0023-3

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