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A Search for the Correlation Coefficient of Triangular and Trapezoidal Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making

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Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

Abstract

This paper introduces a new technique for defining the correlation coefficient of triangular and trapezoidal intuitionistic fuzzy sets for solving Multi-attribute Group Decision Making (MAGDM) problems. In situations where the information or the data is of the form of triangular or trapezoidal intuitionistic fuzzy numbers, some arithmetic aggregation operators, namely the trapezoidal intuitionistic fuzzy ordered weighted averaging (TzIFOWA) operator and the trapezoidal intuitionistic fuzzy hybrid aggregation (TzIFHA) operator are utilized. A new model is developed to solve the MAGDM problems using a new type of correlation coefficient defined for trapezoidal intuitionistic fuzzy sets based on the trapezoidal intuitionistic fuzzy weighted arithmetic averaging (TzIFWAA) operator and the TzIFHA operator.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bishop Heber College, Tiruchirappalli, 620 017, Tamil Nadu, India

    John Robinson P. & Henry Amirtharaj E.C.

Authors
  1. John Robinson P.
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  2. Henry Amirtharaj E.C.
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

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© 2012 Springer-Verlag Berlin Heidelberg

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P., J.R., E.C., H.A. (2012). A Search for the Correlation Coefficient of Triangular and Trapezoidal Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_36

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  • DOI: https://doi.org/10.1007/978-3-642-28926-2_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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