{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T03:23:51Z","timestamp":1648697031421},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"supp01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2002,12]]},"abstract":"<jats:p> We shall consider special class of generalized semiring based on generalized pseudo-operations of the following form: x \u2295 y = g<jats:sup>(-1)<\/jats:sup>(\u03b5g(x) + g(y)), x \u2299 y = g<jats:sup>(-1)<\/jats:sup>(g(x)<jats:sup>\u03b3<\/jats:sup>g(y)), where \u03b5 and \u03b3 are arbitrary but fixed positive real numbers, g is a positive strictly monotone generating function and g<jats:sup>(-1)<\/jats:sup> is its pseudo-inverse. Using this pseudo-operations, corresponding pseudo-measure and the Henstock\u2013Kurzweil type integral will be introduced and investigated. <\/jats:p>","DOI":"10.1142\/s0218488502001855","type":"journal-article","created":{"date-parts":[[2003,2,5]],"date-time":"2003-02-05T01:21:29Z","timestamp":1044408089000},"page":"89-104","source":"Crossref","is-referenced-by-count":0,"title":["HENSTOCK\u2013KURZWEIL TYPE INTEGRAL BASED ON GENERALIZED  g-SEMIRING"],"prefix":"10.1142","volume":"10","author":[{"given":"IVANA","family":"\u0160TAJNER-PAPUGA","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Novi Sad,  21000 Novi Sad, Yugoslavia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_10","first-page":"67","volume":"8","author":"Mesiar","year":"1996","journal-title":"Math. Publ."},{"issue":"1","key":"p_12","first-page":"145","volume":"23","author":"Pap Univ","year":"1993","journal-title":"Prirod.-Mat. Fak. Ser. Mat."},{"issue":"1","key":"p_15","first-page":"9","volume":"29","author":"Pap N","year":"1999","journal-title":"Novi Sad J. Math."},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.6794"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488501000703"},{"key":"p_19","first-page":"24","volume":"52","author":"Stajner-Papuga Pseudo","year":"2001","journal-title":"Journal of Electrical Engineering"}],"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\/S0218488502001855","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:02:29Z","timestamp":1565132549000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488502001855"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,12]]},"references-count":6,"journal-issue":{"issue":"supp01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2002,12]]}},"alternative-id":["10.1142\/S0218488502001855"],"URL":"https:\/\/doi.org\/10.1142\/s0218488502001855","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,12]]}}}