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Intuitionistic Fuzzy Multivalued Dependency and Intuitionistic Fuzzy Fourth Normal Form

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Proceedings of the 4th International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA) 2015

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 404))

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Abstract

Intuitionistic fuzzy databases are used to handle imprecise and uncertain data as they represent the membership, nonmembership, and hesitancy associated with a certain element in a set. This paper presents the Intuitionistic Fuzzy Fourth Normal Form to decompose the multivalued dependent data. A technique to determine Intuitionistic Fuzzy multivalued dependencies by working on the closure of dependencies has been proposed. We derive the closure by obtaining all the logically implied dependencies by a set of Intuitionistic Fuzzy multivalued dependencies, i.e., Inference Rules. A complete set of inference rules for the Intuitionistic Fuzzy multivalued dependencies has been given along with the derivation of each rule. These rules help us to compute the dependency closure and we further use the same for defining the Intuitionistic Fuzzy Fourth Normal Form.

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Authors and Affiliations

  1. Fairfield Institute of Management Technology, New Delhi, India

    Asma R Shora

  2. Department of Computer Science, Jamia Hamdard University, Hamdard Nagar, New Delhi, India

    Afshar Alam & Ranjit Biswas

Authors
  1. Asma R Shora
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  2. Afshar Alam
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  3. Ranjit Biswas
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Corresponding author

Correspondence to Asma R Shora .

Editor information

Editors and Affiliations

  1. Machine Intelligence Unit, ISI, Kolkata, West Bengal, India

    Swagatam Das

  2. Computer Science and Engineering, National Institute of Technology, Durgapur, West Bengal, India

    Tandra Pal

  3. National Institute of Technology, Durgapur, West Bengal, India

    Samarjit Kar

  4. Deparment of CSE, Anil Neerukonda Ins. of Tech. & Sci., Vishakapatnam, India

    Suresh Chandra Satapathy

  5. Kalyani University, Nadia, West Bengal, India

    Jyotsna Kumar Mandal

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Shora, A.R., Alam, A., Biswas, R. (2016). Intuitionistic Fuzzy Multivalued Dependency and Intuitionistic Fuzzy Fourth Normal Form. In: Das, S., Pal, T., Kar, S., Satapathy, S., Mandal, J. (eds) Proceedings of the 4th International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA) 2015. Advances in Intelligent Systems and Computing, vol 404. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2695-6_33

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  • DOI: https://doi.org/10.1007/978-81-322-2695-6_33

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2693-2

  • Online ISBN: 978-81-322-2695-6

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