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	2016/06
形態種別	研究論文（学術雑誌）
標題	On a fuzzy integral as the product-sum calculation between a set function and a fuzzy measure
執筆形態	単著
掲載誌名	Information Processing and Management of Uncertainty in Knowledge-Based Systems, Springer
巻・号・頁	610,pp.91-100
総ページ数	10
概要	We propose the Choquet integral with respect set to a function defined as the product-sum calculation between a set function and a fuzzy measure. The fuzzy integral is an extension of the Choquet integral. The Choquet integral assumes that the interactions among input values are interact fully but the extension assumes the values partially interaction. In this paper, we define another integral expression and analyze its properties. For an input vector the optimal set function is calculated through linear programming. Lastly, we analyze coalitions among set functions that are a cooperative game using the proposed integral.
DOI	10.1007/978-3-319-40596-4_9