Download e-book for kindle: Objectives and Multi-Objective Decision Making Under by Dr. J. Wilhelm (auth.)

By Dr. J. Wilhelm (auth.)

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Proof: This is an immediate consequence of prop. 2. 1. of Neveu. 2 ) ~ By the corollary of prop. 2. it is ensured that statements on proba1) Neveu [1969, p. 1. 2) Neveu [1969, p. 41]. 29 bility measures on the reduced set of consequences of a Bernoulliobjective completely correspond to associated statements on those which are on sets of consequences. 2. Topological Stpuctures In this paragraph we will analyse the topological structure generated by a preference relation. 8. Intervals of the types (4), (6), (8) and (9) are called open, those of the types (1), (5), (7) and (9) are called closed.

2. it is ensured that statements on proba1) Neveu [1969, p. 1. 2) Neveu [1969, p. 41]. 29 bility measures on the reduced set of consequences of a Bernoulliobjective completely correspond to associated statements on those which are on sets of consequences. 2. Topological Stpuctures In this paragraph we will analyse the topological structure generated by a preference relation. 8. Intervals of the types (4), (6), (8) and (9) are called open, those of the types (1), (5), (7) and (9) are called closed.

M be the opportunities of financing by debt (the associated levels planned to be realized are denoted by Yj) available in to' The set of vectors (x,y) will be denoted by A. A planned financing by debt y leads to a cash receipt eo(y) in to and to a cash payment a 1 (y) (redemption and interest) in t 1 . No payments are assumed to occur between these dates. Then the following condition must hold: (0) 42 Usually it is assumed that an enterprise will pay the agreed amount a 1 without any consideration of possible consequences.

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