Mean-Entropy-Skewness Fuzzy Portfolio Selection by Credibility Theory Approach

  • Authors:
  • Rupak Bhattacharyya;Mohuya B. Kar;Samarjit Kar;Dwijesh Dutta Majumder

  • Affiliations:
  • Department of Mathematics, National Institute of Technology, Durgapur, India 713209;Department of C.S.E., Heritage Institute of Technology, Kolkata, India 107;Department of Mathematics, National Institute of Technology, Durgapur, India 713209;Electronics & Communication Science Unit, Indian Statistical Institute, Kolkata, India 108

  • Venue:
  • PReMI '09 Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence
  • Year:
  • 2009

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Abstract

In this paper fuzzy mean-entropy-skewness models are proposed for optimal portfolio selection. Entropy is favored as a measure of risk as it is free from dependence on symmetric probability distribution. Credibility theory is applied to evaluate fuzzy mean, skewness and entropy. Hybrid intelligence algorithm is used for simulation. Numerical examples are given in favor of each of the models.