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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4055 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4055 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4055 archive 351 disk0/00/00/45/07 2016-01-15 02:06:00 2021-08-27 17:15:15 2016-01-15 02:06:00 monograph show 3 Tamura H. 7258 Kitamura H. Hatono I. Umano M. pub iis_cli iis_env iis_sys prog_mda In this paper we propose a new methodology of decision analysis under extreme uncertainties which could analyze the preference of various type of persons from pessimistic ones to optimistic ones. For this purpose we revise a previous axiom of dominance for constructing a measurable value function (utility 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. Here, 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. It is shown that we can construct a measurable value function under uncertainty for a pessimistic, an ordinary or an optimistic person, based on this new axiom of dominance. An example of evaluating the alternative policies to decrease the emission of carbon dioxide for avoiding global warming is included. 1995-08 published WP-95-089 WP-95-089 10 1607 public working_paper IIASA, Laxenburg, Austria 20 FALSE info:eu-repo/semantics/book