タカハギ　エイイチロウ   TAKAHAGI Eiichiro   高萩 栄一郎    所属   専修大学  商学部    専修大学大学院  商学研究科    職種   教授
言語種別	英語
発行・発表の年月	2012/07
形態種別	学術書
標題	Vector-Valued Choquet Integrals for Set Functions and Bi-capacities
執筆形態	単著
掲載誌名	Communications in Computer and Information Science, Advances in Computational Intelligence
巻・号・頁	300,pp.218-227
総ページ数	10
概要	Logical vector-valued Choquet integral models are vector-valued functions calculated by m times Choquet integral calculations with respect to the m-th set functions to the interval [0,1]. By placing restrictions on the set functions, we can get some good properties, such as a normalized output. To introduce a symmetric difference expression, some set functions are transformed into monotone set functions, and they can be interpreted by using fuzzy measure tools such as Shapley values. Similarly, we introduce a vector-valued Choquet integral for bi-capacities and their symmetric difference expressions. Despite from the vector-valued Choquet integral for set functions, the output values match with original and symmetric difference expressions. <a href="http://dx.doi.org/10.1007/978-3-642-31724-8_23">link</a>
DOI	10.1007/978-3-642-31724-8_23