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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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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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