{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:39:36Z","timestamp":1777703976748,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2019,10,14]],"date-time":"2019-10-14T00:00:00Z","timestamp":1571011200000},"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":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,1,9]]},"abstract":"<jats:p>\n                    \u00a0Neutrosophic topological space is an extension of intuitionistic topological space and each triplet set in neutrosophic topological space contains membership, indeterminacy and non-membership values. Connected set in intuitionistic topological set contains membership and non-membership values and inderterminacy have not discussed in that set. This motivates the authors to propose this novel concept called neutrosophic\n                    <jats:italic>\u03b1\u03c8<\/jats:italic>\n                    -connectedness. So we introduce the new notion of neutrosophic\n                    <jats:italic>\u03b1\u03c8<\/jats:italic>\n                    -connectedness in neutrosophic topological spaces and investigate some properties of neutrosophic\n                    <jats:italic>\u03b1\u03c8<\/jats:italic>\n                    -connectedness between sets and subsets of two sets. Some properties of this concept presented with numerical quantities to prove the non-existence.\n                  <\/jats:p>","DOI":"10.3233\/jifs-179453","type":"journal-article","created":{"date-parts":[[2019,10,15]],"date-time":"2019-10-15T15:07:20Z","timestamp":1571152040000},"page":"853-857","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Neutrosophic\n                    <i>\u03b1\u03c8<\/i>\n                    -connectedness"],"prefix":"10.1177","volume":"38","author":[{"given":"M.","family":"Parimala","sequence":"first","affiliation":[{"name":"Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Karthika","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saeid","family":"Jafari","sequence":"additional","affiliation":[{"name":"College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florentin","family":"Smarandache","sequence":"additional","affiliation":[{"name":"Department of Mathematics &amp; Science, University of New Maxico, NM, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.A.","family":"El-Atik","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,10,14]]},"reference":[{"key":"e_1_3_1_2_2","first-page":"16","article-title":"On some new notions and functions in neutrosophic topological spaces","volume":"16","author":"Arokiarani I.","year":"2017","unstructured":"ArokiaraniI., DhavaseelanR., JafariS. and ParimalaM., On some new notions and functions in neutrosophic topological spaces, Neutrosophic Sets Syst 16 (2017), 16\u201319.","journal-title":"Neutrosophic Sets Syst"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00076-0"},{"key":"e_1_3_1_5_2","first-page":"343","article-title":"Some properties of s-connectedness between sets and s-connected mapping","volume":"154","author":"Dubey K.K.","year":"1984","unstructured":"DubeyK.K. and PanwarO.S., Some properties of s-connectedness between sets and s-connected mapping, Indian J Pure Math 154 (1984), 343\u2013354.","journal-title":"Indian J Pure Math"},{"key":"e_1_3_1_6_2","volume-title":"Topology Vol. II (transl.)","author":"Kuratowski K.","year":"1966","unstructured":"KuratowskiK., Topology Vol. II (transl.), Academic Press, New York, (1966)."},{"key":"e_1_3_1_7_2","unstructured":"ParimalaM. 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Neutrosophic \u03b1\u03c8 -Homeomorphism in Neutrosophic Topological Spaces Information (submitted)."},{"issue":"1","key":"e_1_3_1_8_2","first-page":"302","article-title":"Weaker form of open sets in nano ideal topological spaces","volume":"12","author":"Parimala M.","year":"2016","unstructured":"ParimalaM. and PerumalR., Weaker form of open sets in nano ideal topological spaces, Global Journal of Pure and Applied Mathematics 12(1) (2016), 302\u2013305.","journal-title":"Global Journal of Pure and Applied Mathematics"},{"issue":"4","key":"e_1_3_1_9_2","first-page":"301","article-title":"A New Type of Weakly Closed Set in Ideal Topological Spaces","volume":"5","author":"Parimala M.","year":"2017","unstructured":"ParimalaM., JeevithaR. and SelvakumarA., A New Type of Weakly Closed Set in Ideal Topological Spaces, International Journal of Mathematics and its Applications 5(4-C) (2017), 301\u2013312.","journal-title":"International Journal of Mathematics and its Applications"},{"key":"e_1_3_1_10_2","first-page":"3","article-title":"Nano Ideal Generalized Closed Sets in Nano Ideal Topological Spaces","volume":"60","author":"Parimala M.","year":"2017","unstructured":"ParimalaM., JafariS. and MuraliS., Nano Ideal Generalized Closed Sets in Nano Ideal Topological Spaces, Annales Univ Sci Budapest 60 (2017), 3\u201311.","journal-title":"Annales Univ Sci Budapest"},{"key":"e_1_3_1_11_2","first-page":"371","article-title":"On neutrosophic supra pre-continuous functions in neutrosophic topological spaces","volume":"2","author":"Parimala M.","year":"2018","unstructured":"ParimalaM., KarthikaM., DhavaseelanR. and JafariS., On neutrosophic supra pre-continuous functions in neutrosophic topological spaces, New Trends in Neutrosophic Theory and Applications 2 (2018), 371\u2013383.","journal-title":"New Trends in Neutrosophic Theory and Applications"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.3390\/info9050103"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.9790\/5728-0343135"},{"key":"e_1_3_1_14_2","first-page":"4","article-title":"Florentin Smarandache and Valeri Kromov, Neutrosophic Closed Set and Neutrosophic Continuous Functions","volume":"4","author":"Salama A.A.","year":"2014","unstructured":"SalamaA.A., Florentin Smarandache and Valeri Kromov, Neutrosophic Closed Set and Neutrosophic Continuous Functions, Neutrosophic Sets and Systems 4 (2014), 4\u20138.","journal-title":"Neutrosophic Sets and Systems"},{"issue":"34","key":"e_1_3_1_15_2","first-page":"1677","article-title":"On intuitionistic fuzzy Semi-Generalized Closed Sets and its Applications","volume":"5","author":"Santhi R.","year":"2010","unstructured":"SanthiR. and Arun PrakashK., On intuitionistic fuzzy Semi-Generalized Closed Sets and its Applications, Int J Contemp Math Sciences 5(34) (2010), 1677\u20131688.","journal-title":"Int J Contemp Math Sciences"},{"key":"e_1_3_1_16_2","first-page":"114","article-title":"N\n                  \n                     w\n                   \u0170 closed sets in neutrosophic topological spaces","volume":"12","author":"Santhi R.","year":"2016","unstructured":"SanthiR. and UdhayaraniN., Nw \u0170 closed sets in neutrosophic topological spaces, Neutrosophic Sets and Systems 12 (2016), 114\u2013117.","journal-title":"Neutrosophic Sets and Systems"},{"key":"e_1_3_1_17_2","volume-title":"First International Conference on Neutrosophy, Neutrosophic Logic Set, Probability and Statistics","author":"Smarandache F.","year":"2002","unstructured":"SmarandacheF., Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic Set, Probability and Statistics; University of New Mexico, Gallup, NM, USA, (2002)."},{"key":"e_1_3_1_18_2","unstructured":"SmarandacheF. 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