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A Study on Fuzzy Triangle and Fuzzy Trigonometric Properties

  • Debdas GhoshEmail author
  • Debjani Chakraborty
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 253)

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.

Keywords

Fuzzy number Fuzzy point Same points Inverse points Fuzzy angle Fuzzy triangle Extension principle 

AMS Subject Classification

03E72 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesIndian Institute of Technology (BHU)VaranasiIndia
  2. 2. Department of Mathematics Indian Institute of Technology KharagpurKharagpurIndia

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