著者
乾口 雅弘 白井 正志 坂和 正敏
出版者
The Society of Instrument and Control Engineers
雑誌
計測自動制御学会論文集 (ISSN:04534654)
巻号頁・発行日
vol.30, no.6, pp.720-728, 1994-06-30 (Released:2009-03-27)
参考文献数
17
被引用文献数
1

In this paper, the concept of stochastic dominance is introduced to Dempster-Shafer theory of evidence and several kinds of evidential dominance are proposed. In Dempster-Shafer theory of evidence, the expected utility is obtained as an interval. The seven kinds of inequalities between intervals are defined. The relationships among these seven inequalities are investigated. Using these inequalities, seven kinds of evidential dominance are defined. A necessary and sufficient condition for each evidential dominance is discussed. The usefulness of each evidential dominance is examined by a numerical simulation.
著者
乾口 雅弘 前川 裕 久来 靖文
出版者
一般社団法人 システム制御情報学会
雑誌
システム制御情報学会論文誌 (ISSN:13425668)
巻号頁・発行日
vol.4, no.11, pp.435-444, 1991-11-15 (Released:2011-10-13)
参考文献数
11
被引用文献数
1 2

Two types of ambiguity are recognizable in Dempster and Shafer's theory of evidence. One is the ambiguity of the system itself and the other is the ambiguity of human knowledge or information about the system. In this paper, from this point of view, the property for measuring the ambiguity of the system and the property for measuring the ambiguity of human knowledge or information are discussed. A global measure of information which satisfies both of these properties is proposed. The unicity of the, proposed measure is proved when it must be an extension of Shannon entropy. The soundness of this measure of information is confirmed by a simple experiment.