{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T00:44:54Z","timestamp":1648946694396},"reference-count":0,"publisher":"IOS Press","license":[{"start":{"date-parts":[[2020,11,9]],"date-time":"2020-11-09T00:00:00Z","timestamp":1604880000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,11,9]]},"abstract":"<jats:p>This paper discusses the gH-directional differentiability of fuzzy mappings, and proposes the concept of gH-directional differentiability of fuzzy mappings. Based on the concept of gH-directional differentiability of interval-valued mappings and its related properties, two properties of gH-directional differentiability fuzzy mappings are proposed. At the same time, the relation between gH-differentiability and gH-directional differentiability for a fuzzy mapping is discussed, and it is proved that both gH-derivative and gH-partial derivative are directional derivatives of fuzzy mappings in the direction of the coordinate axis.<\/jats:p>","DOI":"10.3233\/faia200681","type":"book-chapter","created":{"date-parts":[[2020,11,10]],"date-time":"2020-11-10T15:42:27Z","timestamp":1605022947000},"source":"Crossref","is-referenced-by-count":0,"title":["Study on Generalized Directional Differentiability Problems of Fuzzy Mappings"],"prefix":"10.3233","author":[{"given":"Yu-e","family":"Bao","sequence":"first","affiliation":[{"name":"College of Mathematics, Inner Mongolia University for Nationalities, China"}]},{"given":"Tingting","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics, Inner Mongolia University for Nationalities, China"}]},{"given":"Linfen","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics, Inner Mongolia University for Nationalities, China"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Fuzzy Systems and Data Mining VI"],"original-title":[],"link":[{"URL":"http:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/FAIA200681","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,10]],"date-time":"2020-11-10T15:42:28Z","timestamp":1605022948000},"score":1,"resource":{"primary":{"URL":"http:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA200681"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,9]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia200681","relation":{},"ISSN":["0922-6389","1879-8314"],"issn-type":[{"value":"0922-6389","type":"print"},{"value":"1879-8314","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,9]]}}}