{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:10:54Z","timestamp":1751429454266,"version":"3.41.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2014,11]]},"abstract":"<jats:p> Computations in Boolean algebra extended by adding an undefined element are investigated in the present paper. These computations (also known as approximative computations) are based on Lukasiewicz three-valued logic and are widely used in those applications where it is necessary to perform logical operations under uncertainty. The approximative computations are carried out as follows: if all instantiations of undefined operands produce the same result then this ascertained result is taken as final; otherwise, the final result is defined to be unknown. The key question in theory of approximative computations is whether a given Boolean formula is closed in the sense that the stepwise approximative computations in compliance with a given formula produce a result as accurate as possible. This question is investigated for the classes of disjunctive and algebraic normal forms. <\/jats:p>","DOI":"10.3233\/fi-2014-1120","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T06:18:14Z","timestamp":1575353894000},"page":"229-241","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Computations in Boolean Algebra with Approximation"],"prefix":"10.1177","volume":"135","author":[{"given":"Armen","family":"Kostanyan","sequence":"first","affiliation":[{"name":"Educational and Research Center of Information Technologies, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia. armko@ysu.am"}]},{"given":"Paruyr","family":"Khnkoyan","sequence":"additional","affiliation":[{"name":"Educational and Research Center of Information Technologies, Yerevan State University, Yerevan, Armenia"}]}],"member":"179","published-online":{"date-parts":[[2014,1,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2014-1120","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2014-1120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:52:06Z","timestamp":1751367126000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2014-1120"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1,1]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,11]]}},"alternative-id":["10.3233\/FI-2014-1120"],"URL":"https:\/\/doi.org\/10.3233\/fi-2014-1120","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"type":"print","value":"0169-2968"},{"type":"electronic","value":"1875-8681"}],"subject":[],"published":{"date-parts":[[2014,1,1]]}}}