{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:24:43Z","timestamp":1777645483451,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["FI"],"published-print":{"date-parts":[[1993,1,1]]},"abstract":"<jats:p>The paper presents general logic-algebraic structures related to Wille\u2019s Concept Lattices, Pawlak\u2019s theory of Information Systems and Approximation Spaces. These structures are studied in order to analyse increasing concepts definitions and decreasing objects identifications. Here they are investigated starting from the notions of polarity and quantum at a point, applying the approach used in Bell\u2019s representation theorem for ortholattices and the mathematical tools provided by pointless topology. In this way we intend to connect this analysis to the notion of topology of positive information introduced in Scott\u2019s Information Systems and Scott\u2019s Domains. In particular, notions connected to the concept of \u2018objects definition improvement\u2019 (via attributes, or parameters) are algebraically investigated in order to analyse general and particular characteristics of Information Systems and a related classification for them is proposed.<\/jats:p>","DOI":"10.3233\/fi-1993-18102","type":"journal-article","created":{"date-parts":[[2021,5,14]],"date-time":"2021-05-14T04:48:00Z","timestamp":1620967680000},"page":"1-25","source":"Crossref","is-referenced-by-count":35,"title":["From Concept Lattice to Approximation Space: Algebraic Structure of Some Spaces of Partial Objects1"],"prefix":"10.1177","volume":"18","author":[{"given":"Piero","family":"Pagliani","sequence":"first","affiliation":[{"name":"Research Group on Learning and Communication Models, Education Centre, ITALSIEL-FINSIEL, La Rustica, Via F. Depero 24, 00155 Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","container-title":["Fundamenta Informaticae"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/FI-1993-18102","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:21Z","timestamp":1777444341000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/FI-1993-18102"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,1,1]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/fi-1993-18102","relation":{},"ISSN":["1875-8681","0169-2968"],"issn-type":[{"value":"1875-8681","type":"electronic"},{"value":"0169-2968","type":"print"}],"subject":[],"published":{"date-parts":[[1993,1,1]]}}}