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On (i, j) Generalized Fuzzy \(\gamma \)-Closed Set in Fuzzy Bitopological Spaces

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Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 816))

Abstract

In this present treatise, we introduce the notion of (i, j) generalized fuzzy \(\gamma \)-closed (\((i,j)~ gf\gamma \)-closed) set and \((i,j)~ \gamma \)-generalized fuzzy closed (\((i,j) ~\gamma \)-gf closed) set in a fuzzy bitopological space. We show that \((i,j)~ \gamma \)-generalized fuzzy closed set and (i, j) generalized fuzzy \(\gamma \)-closed set are totally independent of each other. Different properties related to those sets are studied. Also, (i, j) generalized fuzzy \(\gamma \)-continuous functions and (i, j) generalized fuzzy \(\gamma \)-irresolute functions based on \((i,j)~ gf\gamma \)-closed set are introduced and interrelationship among them are established. Finally, we characterize these functions in various directions for different purposes.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Agartala, India

    Birojit Das & Baby Bhattacharya

Authors
  1. Birojit Das
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  2. Baby Bhattacharya
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Corresponding author

Correspondence to Baby Bhattacharya .

Editor information

Editors and Affiliations

  1. Department of Mathematics, South Asian University New Delhi , New Delhi, India

    Jagdish Chand Bansal

  2. Department of Mathematics, National Institute Of Technology Silchar Department of Mathematics, Silchar, Assam, India

    Kedar Nath Das

  3. Department of Mathematics and Computer Science, Faculty of Science, , Liverpool Hope University, Liverpool, UK

    Atulya Nagar

  4. Department of Mathematics, Indian Institute of Technology Roor Department of Mathematics, Roorkee, Uttarakhand, India

    Kusum Deep

  5. School of Basic Sciences, Indian Institute of Technology Bhubanesw School of Basic Sciences, Bhubaneswar, Odisha, India

    Akshay Kumar Ojha

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Das, B., Bhattacharya, B. (2019). On (i, j) Generalized Fuzzy \(\gamma \)-Closed Set in Fuzzy Bitopological Spaces. In: Bansal, J., Das, K., Nagar, A., Deep, K., Ojha, A. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 816. Springer, Singapore. https://doi.org/10.1007/978-981-13-1592-3_52

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