収束定理から見た各種分割型非線形積分の比較
Saved in:
| Published in | 知能と情報 Vol. 32; no. 4; pp. 782 - 791 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
日本知能情報ファジィ学会
15.08.2020
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 1347-7986 1881-7203 |
| DOI | 10.3156/jsoft.32.4_782 |
Cover
| Author | 本田, あおい 岡崎, 悦明 福田, 亮治 |
|---|---|
| Author_xml | – sequence: 1 fullname: 本田, あおい organization: 九州工業大学 – sequence: 1 fullname: 福田, 亮治 organization: 大分大学 理工学部 – sequence: 1 fullname: 岡崎, 悦明 organization: ファジィシステム研究所 |
| BookMark | eNo9j0tLw0AAhBepYFu9-i8S95Hs41Sk-IKCFz0v23SjDbWVJBePVSmWoPbgqdAWPIheInjxor8mbFP_hamKl5lhBga-Cih1e10NwCaCNkEu3Qqinh_bBNuOZByvgDLiHFkMQ1IqMnGYxQSna6ASRQGEVEAXlUHN3N_NJzOTjvPRIOsn2eVw8ZRk_ZkZXefPqbkZmOGbmSZfk2n-Pjafj_nLbVFm_XT--rD4uFoHq77qRHrjz6vgeHfnqL5vNQ73DurbDStAGCtLcc91nGYLaY4IY0JQD2vCNOeaagWxjzVCghK4bFpN16cYekoI11eOiwqEKqj9_gZRrE60PA_bZyq8kCqM215Hyx94SbB0llLw_y_eqQploMg3G9NsiA |
| ContentType | Journal Article |
| Copyright | 2020 日本知能情報ファジィ学会 |
| Copyright_xml | – notice: 2020 日本知能情報ファジィ学会 |
| DOI | 10.3156/jsoft.32.4_782 |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Mathematics |
| EISSN | 1881-7203 |
| EndPage | 791 |
| ExternalDocumentID | article_jsoft_32_4_32_782_article_char_ja |
| GroupedDBID | 29K 2WC 5GY ABJNI ACGFS ALMA_UNASSIGNED_HOLDINGS CS3 D-I E3Z EBS EJD JSF KQ8 OK1 RJT RNS |
| ID | FETCH-LOGICAL-j122a-a8c544bd1e81377996c2e37e88e6ea02f2e119630e88edb5f620ca995fa451203 |
| ISSN | 1347-7986 |
| IngestDate | Wed Sep 03 06:29:38 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | true |
| Issue | 4 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-j122a-a8c544bd1e81377996c2e37e88e6ea02f2e119630e88edb5f620ca995fa451203 |
| OpenAccessLink | https://www.jstage.jst.go.jp/article/jsoft/32/4/32_782/_article/-char/ja |
| PageCount | 10 |
| ParticipantIDs | jstage_primary_article_jsoft_32_4_32_782_article_char_ja |
| PublicationCentury | 2000 |
| PublicationDate | 2020/08/15 |
| PublicationDateYYYYMMDD | 2020-08-15 |
| PublicationDate_xml | – month: 08 year: 2020 text: 2020/08/15 day: 15 |
| PublicationDecade | 2020 |
| PublicationTitle | 知能と情報 |
| PublicationTitleAlternate | 日本知能情報ファジィ学会誌 |
| PublicationYear | 2020 |
| Publisher | 日本知能情報ファジィ学会 |
| Publisher_xml | – name: 日本知能情報ファジィ学会 |
| References | [2] 尾崎裕之: “経済動学における非加法的測度,” 日本知能情報ファジィ学会誌, Vol.26, No.4, pp. 132-141, 2014. [10] T. Tao: An Introduction to Measure Theory, Graduate Studies in Mathematics: Volume 126, American Mathematical Society, 2011. [9] Q. Zhang, R. Mesiar, J. Li, and P. Struk: “Generalized Lebesgue integral,” Int. J. of Approximate Reasoning, Vol.52, pp. 427-443, 2011. [1] 藤本勝成: “入門：ファジィ測度とその周辺 ―第3回：価値を表すファジィ測度(1)―,”日本知能情報ファジィ学会誌, Vol.20, No.4, pp. 601-608, 2008. [7] E. Lehrer: “A new integral for capacities,” Economic Theory, Vol39, pp. 157-176, 2009. [8] 福田亮治, 本田あおい, 岡崎悦明:“分割型非線形積分の収束定理,” 日本知能情報ファジィ学会誌, Vol.31, No.4, pp. 108-115, 2019. [5] Q. Yang: “The pan-integral on the fuzzy measure space,” Fuzzy Mathematica, Vol.3, pp. 107-114, 1985 (in Chinese). [4] A. Honda and Y. Okazaki: “Generalization of inclusion-exclusion integral for nondiscrete monotone measure space,” Fuzzy Sets and Systems, Vol.355, No.15, pp. 42-58, 2019. [11] Y. Ouyang, J. Li, and R. Mesiar: “On linearity of pan-integral and pan-integrable functions space,” Int. J. of Approximate Reasoning, Vol.90, Issue C, pp. 307-318, 2017. [3] 河邊淳: “A unified approach to convergence theorems of distribution-based nonlinear integrals,”日本数学会2018年度秋季総合分科会 実函数論分科会（特別講演）予稿, 9月24-27日, 岡山, pp. 41-52, 2018. [6] R. Mesiar, J. Li, and E. Pap: “Superdecomposition integrals,” Fuzzy Sets and Systems, Vol.259, pp. 3-11, 2015. |
| References_xml | – reference: [1] 藤本勝成: “入門：ファジィ測度とその周辺 ―第3回：価値を表すファジィ測度(1)―,”日本知能情報ファジィ学会誌, Vol.20, No.4, pp. 601-608, 2008. – reference: [8] 福田亮治, 本田あおい, 岡崎悦明:“分割型非線形積分の収束定理,” 日本知能情報ファジィ学会誌, Vol.31, No.4, pp. 108-115, 2019. – reference: [9] Q. Zhang, R. Mesiar, J. Li, and P. Struk: “Generalized Lebesgue integral,” Int. J. of Approximate Reasoning, Vol.52, pp. 427-443, 2011. – reference: [6] R. Mesiar, J. Li, and E. Pap: “Superdecomposition integrals,” Fuzzy Sets and Systems, Vol.259, pp. 3-11, 2015. – reference: [11] Y. Ouyang, J. Li, and R. Mesiar: “On linearity of pan-integral and pan-integrable functions space,” Int. J. of Approximate Reasoning, Vol.90, Issue C, pp. 307-318, 2017. – reference: [4] A. Honda and Y. Okazaki: “Generalization of inclusion-exclusion integral for nondiscrete monotone measure space,” Fuzzy Sets and Systems, Vol.355, No.15, pp. 42-58, 2019. – reference: [2] 尾崎裕之: “経済動学における非加法的測度,” 日本知能情報ファジィ学会誌, Vol.26, No.4, pp. 132-141, 2014. – reference: [5] Q. Yang: “The pan-integral on the fuzzy measure space,” Fuzzy Mathematica, Vol.3, pp. 107-114, 1985 (in Chinese). – reference: [7] E. Lehrer: “A new integral for capacities,” Economic Theory, Vol39, pp. 157-176, 2009. – reference: [10] T. Tao: An Introduction to Measure Theory, Graduate Studies in Mathematics: Volume 126, American Mathematical Society, 2011. – reference: [3] 河邊淳: “A unified approach to convergence theorems of distribution-based nonlinear integrals,”日本数学会2018年度秋季総合分科会 実函数論分科会（特別講演）予稿, 9月24-27日, 岡山, pp. 41-52, 2018. |
| SSID | ssj0069051 ssib023159992 ssib058986276 ssib029852168 ssib002484266 ssib001106413 ssib017172185 ssib002222523 ssib000937382 |
| Score | 2.1192818 |
| SourceID | jstage |
| SourceType | Publisher |
| StartPage | 782 |
| SubjectTerms | 単調測度 収束定理 非線形積分 |
| Title | 収束定理から見た各種分割型非線形積分の比較 |
| URI | https://www.jstage.jst.go.jp/article/jsoft/32/4/32_782/_article/-char/ja |
| Volume | 32 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| ispartofPNX | 知能と情報, 2020/08/15, Vol.32(4), pp.782-791 |
| journalDatabaseRights | – providerCode: PRVAFT databaseName: Open Access Digital Library customDbUrl: eissn: 1881-7203 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0069051 issn: 1347-7986 databaseCode: KQ8 dateStart: 20060101 isFulltext: true titleUrlDefault: http://grweb.coalliance.org/oadl/oadl.html providerName: Colorado Alliance of Research Libraries |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV29b9QwFI9KWWBAfIpvdcBjSmI7sT0h5y6nCgQSUit1i5JrbuhQEL0ubAVUUVVAB6ZKbSUGRJcisbDAX3O6XvkveO8luaQnhtIl8r28Z79n--79ns9-dpwHEpySVLl2U_CmrhQ97qbCZG6YGt4TqdJesUH2WTi3IB8vBotT5w4au5bW-tls9_U_z5WcZVSBBuOKp2T_Y2THlQIByjC-8IQRhuepxpjFAdMdpmMWh8y0mekgxcbMWBYrZjymQxYLQItMR1TgTBsWa2bDiuKXUsgsUcpqrAFr1iQeoEjEiScmKUNtxcgcKWorYFGbWU7ihul2Q5yasKSh7TAjsfWoxYp7ZSpYTNp2mA3wrRZYWymoURAoOiDTPBaN5wgZ3WK2RdKSRR7Ol8peXhVsVZC1oKIO6EwIQsmWqoK9UVTzB0iwPhUk9jfxh9gKVIR6gNpxcwWF0_694gwpzXniUmRiU-0JoydtJd0FM0E5etYvC5GuKIKY26SIxK41tuFphFSuMlUe8IKmte_i_-JN91Qv_9ZrL-RrVHFrUwlbVHHp2aRHFBCfo0dcBac-K_isTMZiJ7KMl3M4IcZE8ETiA3iT6g2eAkyWIRQ5z1UY4mUhT543kLzBFFmNI9g-YN0TSBEcRxNpS43YsPrsK1yKqNMoQdQRQOgyro8bDTizjowDDT3HEUkXoCvENHO0tlL2apGfFa1_eNJ2QJrLEHdVezYJRs5fdi6V8d-MLcy94kzlK1edi42soPDp6TiV8uo159Hw08ej3f3h4c5oe2OwvjV4s3n8dWuwvj_cfjf6djh8vzHc_DHc2_qzuzf6uTP8_WV08AGIg_XDo--fj3-9ve4sdOL51pxb3nriLvucp26qu4GU2ZKfa8oGasIuzwX8nOo8zFOP93juo9v0kLKUBb2Qe93UmKCXSkDvnrjhTK-8WMlvOjPQT11f80z6eQaBR4ZrLV7eVblI81Cl2S1HF32RvCxS2ySnnga3zy56x7lQfwvvOtP9V2v5PUD2_ew-zam_1EPEzg |
| linkProvider | Colorado Alliance of Research Libraries |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=%E5%8F%8E%E6%9D%9F%E5%AE%9A%E7%90%86%E3%81%8B%E3%82%89%E8%A6%8B%E3%81%9F%E5%90%84%E7%A8%AE%E5%88%86%E5%89%B2%E5%9E%8B%E9%9D%9E%E7%B7%9A%E5%BD%A2%E7%A9%8D%E5%88%86%E3%81%AE%E6%AF%94%E8%BC%83&rft.jtitle=%E7%9F%A5%E8%83%BD%E3%81%A8%E6%83%85%E5%A0%B1&rft.au=%E6%9C%AC%E7%94%B0%2C+%E3%81%82%E3%81%8A%E3%81%84&rft.au=%E7%A6%8F%E7%94%B0%2C+%E4%BA%AE%E6%B2%BB&rft.au=%E5%B2%A1%E5%B4%8E%2C+%E6%82%A6%E6%98%8E&rft.date=2020-08-15&rft.pub=%E6%97%A5%E6%9C%AC%E7%9F%A5%E8%83%BD%E6%83%85%E5%A0%B1%E3%83%95%E3%82%A1%E3%82%B8%E3%82%A3%E5%AD%A6%E4%BC%9A&rft.issn=1347-7986&rft.eissn=1881-7203&rft.volume=32&rft.issue=4&rft.spage=782&rft.epage=791&rft_id=info:doi/10.3156%2Fjsoft.32.4_782&rft.externalDocID=article_jsoft_32_4_32_782_article_char_ja |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1347-7986&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1347-7986&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1347-7986&client=summon |