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A Study on Fuzzy Triangle and Fuzzy Trigonometric Properties

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Mathematics and Computing (ICMC 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 253))

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Abstract

This paper investigates fuzzy triangle, fuzzy triangular properties, and fuzzy trigonometry. A fuzzy triangle on the plane is constructed by three fuzzy points as its vertices. Using the proposed fuzzy triangle, basic fuzzy trigonometric functions are investigated. The extension principle and the concepts of same and inverse points in fuzzy geometry are used to define all the proposed ideas. It is shown that some well-known trigonometric identities for crisp angles may not hold with proper equality for fuzzy angles.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, Uttar Pradesh, India

    Debdas Ghosh

  2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, West Bengal, India

    Debjani Chakraborty

Authors
  1. Debdas Ghosh
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  2. Debjani Chakraborty
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Corresponding author

Correspondence to Debdas Ghosh .

Editor information

Editors and Affiliations

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

    Debdas Ghosh

  2. Department of Computer Science and Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

  3. Department of Mathematics, University of Central Florida, Orlando, FL, USA

    Ram N. Mohapatra

  4. Faculty of Information Science and Electrical Engineering, Kyushu University, Fukuoka, Japan

    Kouichi Sakurai

  5. UÅŸak University, UÅŸak, Turkey

    Ekrem Savas

  6. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

    Tanmoy Som

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Ghosh, D., Chakraborty, D. (2018). A Study on Fuzzy Triangle and Fuzzy Trigonometric Properties. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_27

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