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Decision Making with Dempster-Shafer Theory Using Fuzzy Induced Aggregation Operators

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Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 265))

Abstract

We develop a new approach for decision making with Dempster-Shafer theory of evidence where the available information is uncertain and it can be assessed with fuzzy numbers. With this approach, we are able to represent the problem without losing relevant information, so the decision maker knows exactly which are the different alternatives and their consequences. For doing so, we suggest the use of different types of fuzzy induced aggregation operators in the problem. Then, we can aggregate the information considering all the different scenarios that could happen in the analysis. As a result, we get new types of fuzzy induced aggregation operators such as the belief structure – fuzzy induced ordered weighted averaging (BS-FIOWA) and the belief structure – fuzzy induced hybrid averaging (BS-FIHA) operator. We study some of their main properties. We further generalize this approach by using fuzzy induced generalized aggregation operators. We also develop an application of the new approach in a financial decision making problem about selection of financial strategies.

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Author information

Authors and Affiliations

  1. Department of Business Administration, University of Barcelona, Av. Diagonal 690, 08034, Barcelona, Spain

    José M. Merigó & Montserrat Casanovas

Authors
  1. José M. Merigó
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  2. Montserrat Casanovas
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Editor information

Editors and Affiliations

  1. Machine Intelligence Institute , Iona College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

  2. Systems Research Institute , Polish Academy of Sciences, Ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

  3. School of Information Technology , Deakin University, 221 Burwood Highway, 3125, Burwood, Victoria, Australia

    Gleb Beliakov

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Merigó, J.M., Casanovas, M. (2011). Decision Making with Dempster-Shafer Theory Using Fuzzy Induced Aggregation Operators. In: Yager, R.R., Kacprzyk, J., Beliakov, G. (eds) Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice. Studies in Fuzziness and Soft Computing, vol 265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17910-5_11

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  • DOI: https://doi.org/10.1007/978-3-642-17910-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17909-9

  • Online ISBN: 978-3-642-17910-5

  • eBook Packages: EngineeringEngineering (R0)

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