{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T04:56:47Z","timestamp":1648789007293},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[1999,12]]},"abstract":"<jats:p> As an alternative to quantum logics MV algebras have been suggested<jats:sup>2,20<\/jats:sup>. In a quite general class of MV algebras there have been constructed sum of any two observables<jats:sup>10,14,20<\/jats:sup>. Recently the notion of product MV algebra has been introduced<jats:sup>4,5,12,17<\/jats:sup>. In any weakly \u03c3-distributive product MV algebra the joint observable of any observables can be constructed and on the base also the sum of any observables. In this paper we show that the two concepts of constructing of the sum are equivalent. <\/jats:p>","DOI":"10.1142\/s0218488599000544","type":"journal-article","created":{"date-parts":[[2002,9,3]],"date-time":"2002-09-03T07:41:53Z","timestamp":1031038913000},"page":"671-677","source":"Crossref","is-referenced-by-count":0,"title":["ON THE SUM OF OBSERVABLES IN PRODUCT MV ALGEBRAS"],"prefix":"10.1142","volume":"07","author":[{"given":"BELOSLAV","family":"RIE\u010cAN","sequence":"first","affiliation":[{"name":"Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73, Bratislava, Slovakia"},{"name":"Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovsk\u00e9ho 40, SK-974 01 Bansk\u00e1 Bystrica, Slovakia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_1","first-page":"8","volume":"8","author":"Chang C.C.","year":"1958","journal-title":"Trans. Amer. Math. Soc."},{"key":"p_2","first-page":"55","volume":"3","author":"Chovanec F.","year":"1993","journal-title":"Tatra Mt. Math. Publ."},{"key":"p_5","author":"Dvurecenskij A.","journal-title":"J. Math. Anal. Appl. (to appear)."},{"key":"p_9","first-page":"5","volume":"7","author":"Kacian A.","year":"1998","journal-title":"BUSEFAL"},{"key":"p_11","first-page":"5","volume":"6","author":"Mundici D.","year":"1986","journal-title":"J. Fund. Anal."},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1006\/aama.1998.0631"},{"key":"p_14","first-page":"225","volume":"14","author":"Riecan B.","year":"1998","journal-title":"Tatra Mt. Math. Publ."},{"key":"p_15","first-page":"13","volume":"15","author":"Riecan B.","year":"1998","journal-title":"Tatra Mt. Math. Publ."},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00218-8"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.5802\/aif.393"}],"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\/S0218488599000544","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:03:08Z","timestamp":1565132588000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488599000544"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12]]},"references-count":10,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1999,12]]}},"alternative-id":["10.1142\/S0218488599000544"],"URL":"https:\/\/doi.org\/10.1142\/s0218488599000544","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,12]]}}}