Theory and Decision

, Volume 49, Issue 2, pp 127-150

First online:

Decision Making in `Random in a Broad Sense' Environments

  • V.I. IvanenkoAffiliated withKiev Polytechnic InstituteEcole Normale Supérieure
  • , B. MunierAffiliated withKiev Polytechnic InstituteEcole Normale Supérieure

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It is shown that the uncertainty connected with a `random in a broad sense' (not necessarily stochastic) event always has some `statistical regularity' (SR) in the form of a family of finite-additive probability distributions. The specific principle of guaranteed result in decision making is introduced. It is shown that observing this principle of guaranteed result leads to determine the one optimality criterion corresponding to a decision system with a given `statistical regularity'.

Uncertainty Random in a broad sense phenomena Statistical regularity Principle of guaranteed result Optimality criterion choice