Quantitative Modeling of Operational Risk in Finance and Banking Using Possibility Theory

  • Arindam Chaudhuri
  • Soumya K. Ghosh

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 331)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 1-5
  3. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 7-28
  4. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 29-45
  5. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 47-73
  6. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 75-112
  7. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 113-129
  8. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 131-145
  9. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 147-168
  10. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 169-183
  11. Arindam Chaudhuri, Soumya K. Ghosh
    Pages 185-188
  12. Back Matter
    Pages 189-190

About this book


This book offers a comprehensive guide to the modelling of operational risk using possibility theory. It provides a set of methods for measuring operational risks under a certain degree of vagueness and impreciseness, as encountered in real-life data. It shows how possibility theory and indeterminate uncertainty-encompassing degrees of belief can be applied in analysing the risk function, and describes the parametric g-and-h distribution associated with extreme value theory as an interesting candidate in this regard. The book offers a complete assessment of fuzzy methods for determining both value at risk (VaR) and subjective value at risk (SVaR), together with a stability estimation of VaR and SVaR. Based on the simulation studies and case studies reported on here, the possibilistic quantification of risk performs consistently better than the probabilistic model. Risk is evaluated by integrating two fuzzy techniques: the fuzzy analytic hierarchy process and the fuzzy extension of techniques for order preference by similarity to the ideal solution. Because of its specialized content, it is primarily intended for postgraduates and researchers with a basic knowledge of algebra and calculus, and can be used as reference guide for research-level courses on fuzzy sets, possibility theory and mathematical finance. The book also offers a useful source of information for banking and finance professionals investigating different risk-related aspects.


Belief Degrees Extreme Value Theory Fuzzy Analytic Hierarchy Process G-and-H Distribution Possibilistic Risk Analysis Risk Measurement Subjective Value at Risk Uncertainty and Finance Value at Risk

Authors and affiliations

  • Arindam Chaudhuri
    • 1
  • Soumya K. Ghosh
    • 2
  1. 1.Samsung R & D Institute DelhiNoidaIndia
  2. 2.School of Information TechnologyIndian Institute of TechnologyKharagpurIndia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-26037-2
  • Online ISBN 978-3-319-26039-6
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site