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Maximum entropy principle with imprecise side-conditions II: crisp discrete solutions

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Abstract

In this paper we consider the maximum entropy principle with imprecise side-conditions, where the imprecise side-conditions are modeled as fuzzy sets. In a previous paper our solution produced fuzzy discrete probability distributions and fuzzy probability density functions. In this paper we consider only discrete probability distributions and we have the constraint that the solution must be crisp (non-fuzzy).

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References

  1. Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17 B-141–B-164

  2. Buckley JJ (1985) Risk Analysis 5 303–313

  3. Buckley JJ (2003) Fuzzy probabilities: new approach and applications. Springer, Berlin Heidelberg, New York

  4. Buckley JJ, Eslami E (2003) Uncertain probabilities I: the discrete case. Soft Comput 7 500–505

    Google Scholar 

  5. Buckley JJ (2003) Fuzzy probabilities and fuzzy sets for web planning. Springer, Berlin Heidelberg, New York

  6. Buckley JJ, Eslami E (2004) Uncertain probabilities II: the continuous case. Soft Comput 8 193–199

    Google Scholar 

  7. Buckley JJ, Reilly K, Zheng X Fuzzy probabilities for web planning. Soft Comput 8 (2004) 464–476

    Google Scholar 

  8. Buckley JJ Maximum entropy principle with imprecise side-conditions. Soft Comput ``On Line''

  9. Buckley JJ (2004) Fuzzy statistics. Springer, Berlin Heidelberg, New York (to appear)

  10. Maple 6, Waterloo Maple Inc., Waterloo

  11. http://www.solver.com

  12. Taha HA (1992) Operations research. 5th edn. Macmillan, New York

  13. Personal correspondence (email) from Professor Zadeh LA

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL, 35294, USA

    James J. Buckley

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  1. James J. Buckley
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Correspondence to James J. Buckley.

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Buckley, J. Maximum entropy principle with imprecise side-conditions II: crisp discrete solutions. Soft Comput 10, 187–192 (2006). https://doi.org/10.1007/s00500-004-0454-8

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  • DOI: https://doi.org/10.1007/s00500-004-0454-8

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