{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,6,1]],"date-time":"2022-06-01T22:13:20Z","timestamp":1654121600848},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[1995,12]]},"abstract":"<jats:p> A decade ago, Edelsbrunner et. al. introduced the concept of \u03b1-hulls for finding the shape of a planar set. But it still suffers from a major deficiency i.e., the single parameter \u03b1 must be fine-tuned. The present article initially proposes a selection criterion of \u03b1 for \u03b1-hulls in R<jats:sup>2<\/jats:sup>. Then the concept of \u03b1-hulls is extended to define the fuzzy \u03b1-hulls. The effectiveness of the fuzzy \u03b1-hulls and the proposed selection criterion of \u03b1 is demonstrated on some artificially generated data sets. The convergence (with sample size) of both the crisp and fuzzy \u03b1-hulls, based on the proposed selection criterion of \u03b1, to the original pattern class has also been verified. <\/jats:p>","DOI":"10.1142\/s0218488595000207","type":"journal-article","created":{"date-parts":[[2004,11,10]],"date-time":"2004-11-10T06:14:37Z","timestamp":1100067277000},"page":"401-417","source":"Crossref","is-referenced-by-count":5,"title":["SELECTION OF \u03b1 FOR \u03b1-HULL AND FORMULATION OF FUZZY \u03b1-HULL IN IR<sup>2<\/sup>"],"prefix":"10.1142","volume":"03","author":[{"given":"DEBA PRASAD","family":"MANDAL","sequence":"first","affiliation":[{"name":"At present in Dept. of Industrial Engineering, University of Osaka Prefecture 1\u20131 Gakuen-cho, Sakai, Osaka 593, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.A.","family":"MURTHY","sequence":"additional","affiliation":[{"name":"Machine Intelligence Unit, Indian Statistical Institute 203 Barrackpore Trunk Road, Calcutta 700 035, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488595000207","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:54:07Z","timestamp":1565132047000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488595000207"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,12]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1995,12]]}},"alternative-id":["10.1142\/S0218488595000207"],"URL":"https:\/\/doi.org\/10.1142\/s0218488595000207","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,12]]}}}