{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:14:45Z","timestamp":1760242485577,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T00:00:00Z","timestamp":1501632000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Banco de Santander","award":["PR26\/16-20242"],"award-info":[{"award-number":["PR26\/16-20242"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In an earlier paper, we proved that Smarandache\u2019s definition of neutrosophic paraconsistent topology is neither a generalization of \u00c7oker\u2019s intuitionistic fuzzy topology nor a generalization of Smarandache\u2019s neutrosophic topology. Recently, Salama and Alblowi proposed a new definition of neutrosophic topology, that generalizes \u00c7oker\u2019s intuitionistic fuzzy topology. Here, we study this new definition and its relation to Smarandache\u2019s paraconsistent neutrosophic sets.<\/jats:p>","DOI":"10.3390\/sym9080140","type":"journal-article","created":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T10:05:25Z","timestamp":1501668325000},"page":"140","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Another Note on Paraconsistent Neutrosophic Sets"],"prefix":"10.3390","volume":"9","author":[{"given":"Francisco","family":"Lupi\u00e1\u00f1ez","sequence":"first","affiliation":[{"name":"Department of Mathematics, Universidad Complutense, 28040 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,8,2]]},"reference":[{"key":"ref_1","first-page":"385","article-title":"A unifying field in Logics: Neutrosophic Logic","volume":"8","author":"Smarandache","year":"2002","journal-title":"Mult.-Valued Log."},{"key":"ref_2","first-page":"287","article-title":"Neutrosophic set\u2014A generalization of the intuitionistic fuzzy set","volume":"24","author":"Smarandache","year":"2005","journal-title":"Intern. J. Pure Appl. Math."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/S0165-0114(96)00076-0","article-title":"An introduction to intuitionistic fuzzy topological spaces","volume":"88","year":"1997","journal-title":"Fuzzy Sets Syst."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Priest, G., Routley, R., and Norman, J. (1989). Paraconsistent Logic: Essays on the Inconsistent, Philosophia Verlag.","DOI":"10.2307\/j.ctv2x8v8c7"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Beziau, I.Y., Chakraborty, M., and Dutta, D. (2014, January 13\u201317). New directions in paraconsistent logic. Proceedings of the 5th World Congress on Paraconsistency (WCP), Kolkata, India.","DOI":"10.1007\/978-81-322-2719-9"},{"key":"ref_7","first-page":"6","article-title":"Nota sobre o conceito de contradi\u00e7\u00e3o","volume":"1","year":"1958","journal-title":"Anu\u00e1rio Soc. Paranense Mat."},{"key":"ref_8","unstructured":"van Eemeren, F.H., Grootendorst, R., Blair, J.A., and Willard, C.A. (1987). Dialectical arguments, matters of degree, and paraconsistent Logic. Argumentation: Perspectives and Approaches, Foris Publication."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.fss.2014.07.001","article-title":"Paraconsistent fuzzy logic preserving non-falsity","volume":"292","author":"Avron","year":"2016","journal-title":"Fuzzy Sets Syst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"598","DOI":"10.1108\/03684921011036817","article-title":"On Neutrosophic Paraconsistent Topology","volume":"39","year":"2010","journal-title":"Kybernetes"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"31","DOI":"10.9790\/5728-0343135","article-title":"Neutrosophic set and neutrosophic topological spaces","volume":"3","author":"Salama","year":"2012","journal-title":"IOSR J. Math."},{"key":"ref_12","unstructured":"Smarandache, F., and Pramanik, S. (2016). On neutrosophic sets and topology. New Trends in Neutrosophic Theory and Applications, Pons Editions."},{"key":"ref_13","unstructured":"Robinson, A. (1966). 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Mon."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/8\/140\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:44:57Z","timestamp":1760208297000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/9\/8\/140"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,2]]},"references-count":14,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2017,8]]}},"alternative-id":["sym9080140"],"URL":"https:\/\/doi.org\/10.3390\/sym9080140","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2017,8,2]]}}}