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Maximum entropy principle with imprecise side-conditions III: Crisp continuous 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 two previous papers our solution produced: (1) fuzzy discrete probability distributions and fuzzy probability density functions; and (2) crisp discrete probability distributions. In this paper we consider only continuous probability density functions and we have the constraint that the solution must be crisp (non-fuzzy).

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References

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

  • Buckley JJ (1985) Entrophy principles in decision making under risk. Risk Anal 5:303–313

    Article  Google Scholar 

  • Buckley JJ (2003a) Fuzzy probabilities: new approach and applications. Springer, Heidelberg

    MATH  Google Scholar 

  • Buckley JJ (2003b) Fuzzy probabilities and fuzzy sets for web planning. Springer, Heidelberg

    Google Scholar 

  • Buckley JJ (2005a) Maximum entropy principle with imprecise side-conditions. Soft Comput 9:507–511

    Article  MATH  Google Scholar 

  • Buckley JJ (2005b) Maximum entropy principle with imprecise side-conditions II: crisp discrete solutions. Soft Comput 10:187–192

    Article  Google Scholar 

  • Buckley JJ (2004) Fuzzy statistics. Springer, Heidelberg

    MATH  Google Scholar 

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

    MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  • Gelfand IM, Fomin SV (1963) calculus of variations. Prentice Hall, Englewood Cliffs

    Google Scholar 

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

    MATH  Google Scholar 

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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.J. Maximum entropy principle with imprecise side-conditions III: Crisp continuous solutions. Soft Comput 11, 1089–1097 (2007). https://doi.org/10.1007/s00500-007-0166-y

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  • DOI: https://doi.org/10.1007/s00500-007-0166-y

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