{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:13:47Z","timestamp":1759032827083},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2001,4]]},"abstract":"<jats:p> We shall consider non-associative and non-commutative pseudo-addition and pseudo-multiplication, i.e., generalized pseudo-operations. More precise, we shall consider special class of generalized pseudo-operations that have the following form: x\u2295 y=k<jats:sup>-1<\/jats:sup>(\u03b5 k(x)+k(y)), x\u2299 y=k<jats:sup>-1<\/jats:sup>(k(x)<jats:sup>\u03b5<\/jats:sup> k(y)), where \u03b5 is arbitrary fixed positive real number and k is a positive strictly monotone function. Using previous pseudo-operations, corresponding pseudo-measure and pseudo-integral will be introduced. Pseudo-convolution based on pseudo-measure and pseudo-integral will be constructed. <\/jats:p>","DOI":"10.1142\/s0218488501000703","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:43:29Z","timestamp":1051011809000},"page":"159-167","source":"Crossref","is-referenced-by-count":6,"title":["PSEUDO-INTEGRAL BASED ON NON-ASSOCIATIVE AND NON-COMMUTATIVE PSEUDO-ADDITION AND PSEUDO-MULTIPLICATION"],"prefix":"10.1142","volume":"09","author":[{"given":"ENDRE","family":"PAP","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia"}]},{"given":"IVANA","family":"\u0160TAJNER-PAPUGA","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia"}]}],"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\/S0218488501000703","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:01:15Z","timestamp":1565146875000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488501000703"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,4]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2001,4]]}},"alternative-id":["10.1142\/S0218488501000703"],"URL":"https:\/\/doi.org\/10.1142\/s0218488501000703","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,4]]}}}