Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
On a New Axiom of Dominance and Constructing a Measurable Value Function under Uncertainty
Evaluating Alternative Policies to Decrease Emission of Carbon Dioxide
Hiroyuki TAMURAHiroyasu KITAMURAItsuo HATONOMotohide UMANO
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1995 Volume 8 Issue 1 Pages 34-42

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Abstract

In this paper, we revise a previous axiom of dominance for constructing a measurable value function under uncertainty based on Dempster-Shafer theory of probability. The previous axiom of dominance has dealt with only the best and the worst results in the set element. In this paper we propose a new axiom of dominance after defining the value of the set element taking into account the average of the value of all the results included in the set element. We could construct a measurable value function under uncertainty for an ordinary, pessimistic or optimistic person, based on this new axiom of dominance. An example of evaluating the alternatives to regulate CO2emission for avoiding global warming is included.

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