{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T04:31:28Z","timestamp":1743136288353,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":43,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662665435"},{"type":"electronic","value":"9783662665442"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"DOI":"10.1007\/978-3-662-66544-2_6","type":"book-chapter","created":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T02:36:12Z","timestamp":1672540572000},"page":"77-95","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Single-Valued Neutrosophic Rough Continuous Mapping via\u00a0Single-Valued Neutrosophic Rough Topological Space"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3278-8985","authenticated-orcid":false,"given":"Binod Chandra","family":"Tripathy","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5682-9334","authenticated-orcid":false,"given":"Suman","family":"Das","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0895-2976","authenticated-orcid":false,"given":"Rakhal","family":"Das","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,1,1]]},"reference":[{"key":"6_CR1","first-page":"16","volume":"16","author":"I Arokiarani","year":"2017","unstructured":"Arokiarani, I., Dhavaseelan, R., Jafari, S., Parimala, M.: On some new notations and functions in neutrosophic topological spaces. Neutrosophic Sets Syst. 16, 16\u201319 (2017)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR2","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"K Atanassov","year":"1986","unstructured":"Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87\u201396 (1986)","journal-title":"Fuzzy Sets Syst."},{"key":"6_CR3","first-page":"60","volume":"3","author":"S Broumi","year":"2014","unstructured":"Broumi, S., Smarandache, F., Dhar, M.: Rough neutrosophic sets. Neutrosophic Sets Syst. 3, 60\u201365 (2014)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR4","doi-asserted-by":"publisher","first-page":"54","DOI":"10.5281\/zenodo.5485442","volume":"45","author":"S Das","year":"2021","unstructured":"Das, S., Das, R., Granados, C.: Topology on quadripartitioned neutrosophic sets. Neutrosophic Sets Syst. 45, 54\u201361 (2021). https:\/\/doi.org\/10.5281\/zenodo.5485442","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR5","unstructured":"Das, S., Das, R., Tripathy, B.C.: Topology on rough pentapartitioned neutrosophic set. Iraqi J. Sci. (in Press)"},{"key":"6_CR6","first-page":"522","volume":"35","author":"S Das","year":"2020","unstructured":"Das, S., Pramanik, S.: Generalized neutrosophic $$b$$-open sets in neutrosophic topological space. Neutrosophic Sets Syst. 35, 522\u2013530 (2020)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR7","first-page":"355","volume":"38","author":"S Das","year":"2020","unstructured":"Das, S., Pramanik, S.: Neutrosophic $$\\Phi $$-open sets and neutrosophic $$\\Phi $$-continuous functions. Neutrosophic Sets Syst. 38, 355\u2013367 (2020)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR8","unstructured":"Das, S., Tripathy, B.C.: Neutrosophic simply b-open set in neutrosophic topological spaces. Iraqi J. Sci. (in Press)"},{"issue":"1","key":"6_CR9","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/1139\/1\/012062","volume":"1139","author":"E Ebenanjar","year":"2018","unstructured":"Ebenanjar, E., Immaculate, J., Wilfred, C.B.: On neutrosophic b-open sets in neutrosophic topological space. J. Phys. Conf. Ser. 1139(1), 012062 (2018)","journal-title":"J. Phys. Conf. Ser."},{"issue":"3","key":"6_CR10","doi-asserted-by":"publisher","first-page":"214","DOI":"10.14445\/22315373\/IJMTT-V37P529","volume":"37","author":"P Iswarya","year":"2018","unstructured":"Iswarya, P., Bageerathi, K.: On neutrosophic semi-open sets in neutrosophic topological spaces. Int. J. Math. Trends Technol. 37(3), 214\u2013223 (2018)","journal-title":"Int. J. Math. Trends Technol."},{"key":"6_CR11","first-page":"44","volume":"31","author":"G Jayaparthasarathy","year":"2020","unstructured":"Jayaparthasarathy, G., Arockia Dasan, M., Little Flower, V.F., Ribin Christal, R.: New open sets in N-neutrosophic supra topological spaces. Neutrosophic Sets Syst. 31, 44\u201362 (2020)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR12","first-page":"80","volume":"27","author":"G Jayaparthasarathy","year":"2019","unstructured":"Jayaparthasarathy, G., Little Flower, V.F., Arockia Dasan, M.: Neutrosophic supra topological applications in data mining process. Neutrosophic Sets Syst. 27, 80\u201397 (2019)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR13","doi-asserted-by":"crossref","unstructured":"Jin, Q., Hu, K., Bo, C., Li, L.: A new single-valued neutrosophic rough sets and related topology. J. Math. 1\u201314 (2021). Article ID 5522021. https:\/\/doi.org\/10.1155\/2021\/5522021","DOI":"10.1155\/2021\/5522021"},{"key":"6_CR14","first-page":"86","volume":"20","author":"M Lellis Thivagar","year":"2018","unstructured":"Lellis Thivagar, M., Jafari, S., Sutha Devi, V., Antonysamy, V.: A novel approach to nano topology via neutrosophic sets. Neutrosophic Sets Syst. 20, 86\u201394 (2018)","journal-title":"Neutrosophic Sets Syst."},{"issue":"1","key":"6_CR15","doi-asserted-by":"publisher","first-page":"012065","DOI":"10.1088\/1742-6596\/1139\/1\/012065","volume":"1139","author":"C Maheswari","year":"2018","unstructured":"Maheswari, C., Sathyabama, M., Chandrasekar, S.: Neutrosophic generalized $$b$$-closed sets in neutrosophic topological spaces. J. Phys. Conf. Ser. 1139(1), 012065 (2018)","journal-title":"J. Phys. Conf. Ser."},{"key":"6_CR16","unstructured":"Mohammed Ali Jaffer, I., Ramesh, K.: Neutrosophic generalized pre regular closed sets. Neutrosophic Sets Syst. 30, 171\u2013181 (2019)"},{"key":"6_CR17","first-page":"46","volume":"10","author":"K Mondal","year":"2015","unstructured":"Mondal, K., Pramanik, S.: Decision making based on some similarity measures under interval rough neutrosophic environment. Neutrosophic Sets Syst. 10, 46\u201357 (2015)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR18","first-page":"16","volume":"8","author":"K Mondal","year":"2015","unstructured":"Mondal, K., Pramanik, S.: Rough neutrosophic multi-attribute decision-making based on rough accuracy score function. Neutrosophic Sets Syst. 8, 16\u201322 (2015)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR19","first-page":"8","volume":"7","author":"K Mondal","year":"2015","unstructured":"Mondal, K., Pramanik, S.: Rough neutrosophic multi-attribute decision-making based on grey relational analysis. Neutrosophic Sets Syst. 7, 8\u201317 (2015)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR20","series-title":"Studies in Fuzziness and Soft Computing","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/978-3-030-00045-5_5","volume-title":"Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets","author":"K Mondal","year":"2019","unstructured":"Mondal, K., Pramanik, S., Giri, B.C.: Rough neutrosophic aggregation operators for multi-criteria decision-making. In: Kahraman, C., Otay, \u0130 (eds.) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. SFSC, vol. 369, pp. 79\u2013105. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-00045-5_5"},{"key":"6_CR21","first-page":"105","volume":"13","author":"K Mondal","year":"2016","unstructured":"Mondal, K., Pramanik, S., Smarandache, F.: Rough neutrosophic TOPSIS for multi-attribute group decision making. Neutrosophic Sets Syst. 13, 105\u2013117 (2016)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR22","first-page":"3","volume":"13","author":"K Mondal","year":"2016","unstructured":"Mondal, K., Pramanik, S., Smarandache, F.: Multi-attribute decision making based on rough neutrosophic variational coefficient similarity measure. Neutrosophic Sets Syst. 13, 3\u201317 (2016)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR23","unstructured":"Mondal, K., Pramanik, S., Smarandache, F.: Rough neutrosophic hyper-complex set and its application to multi attribute decision making. Crit. Rev. XIII, 111\u2013123 (2016)"},{"key":"6_CR24","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1016\/0165-0114(92)90114-J","volume":"45","author":"S Nanda","year":"1992","unstructured":"Nanda, S., Majumdar, S.: Fuzzy rough sets. Fuzzy Sets Syst. 45, 157\u2013160 (1992)","journal-title":"Fuzzy Sets Syst."},{"issue":"5","key":"6_CR25","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. Int. J. Inf. Comput. Sci. 11(5), 341\u2013356 (1982)","journal-title":"Int. J. Inf. Comput. Sci."},{"issue":"3","key":"6_CR26","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1016\/0377-2217(94)90415-4","volume":"72","author":"Z Pawlak","year":"1994","unstructured":"Pawlak, Z., Sowinski, R.: Rough set approach to multi attribute decision analysis. Eur. J. Oper. Res. 72(3), 443\u2013459 (1994)","journal-title":"Eur. J. Oper. Res."},{"key":"6_CR27","unstructured":"Pramanik, S.: Interval quadripartitioned neutrosophic sets. Neutrosophic Sets Syst. (in Press)"},{"issue":"7","key":"6_CR28","first-page":"61","volume":"2","author":"S Pramanik","year":"2015","unstructured":"Pramanik, S., Mondal, K.: Some rough neutrosophic similarity measures and their application to multi attribute decision making. Glob. J. Eng. Sci. Res. Manag. 2(7), 61\u201374 (2015)","journal-title":"Glob. J. Eng. Sci. Res. Manag."},{"issue":"6","key":"6_CR29","first-page":"71","volume":"3","author":"S Pramanik","year":"2016","unstructured":"Pramanik, S., Mondal, K.: Rough bipolar neutrosophic set. Glob. J. Eng. Sci. Res. Manag. 3(6), 71\u201381 (2016)","journal-title":"Glob. J. Eng. Sci. Res. Manag."},{"issue":"1","key":"6_CR30","first-page":"212","volume":"2","author":"S Pramanik","year":"2015","unstructured":"Pramanik, S., Mondal, K.: Cosine similarity measure of rough neutrosophic sets and its application in medical diagnosis. Glob. J. Adv. Res. 2(1), 212\u2013220 (2015)","journal-title":"Glob. J. Adv. Res."},{"key":"6_CR31","first-page":"29","volume":"17","author":"S Pramanik","year":"2017","unstructured":"Pramanik, S., Roy, R., Roy, T.K., Smarandache, F.: Multi criteria decision making using correlation coefficient under rough neutrosophic environment. Neutrosophic Sets Syst. 17, 29\u201336 (2017)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR32","first-page":"101","volume":"19","author":"S Pramanik","year":"2018","unstructured":"Pramanik, S., Roy, R., Roy, T.K.: Multi criteria decision making based on projection and bidirectional projection measures of rough neutrosophic sets. Neutrosophic Sets Syst. 19, 101\u2013109 (2018)","journal-title":"Neutrosophic Sets Syst."},{"issue":"1","key":"6_CR33","doi-asserted-by":"publisher","first-page":"50","DOI":"10.26637\/MJM0701\/0010","volume":"7","author":"A Pushpalatha","year":"2019","unstructured":"Pushpalatha, A., Nandhini, T.: Generalized closed sets via neutrosophic topological spaces. Malaya J. Matematik 7(1), 50\u201354 (2019)","journal-title":"Malaya J. Matematik"},{"issue":"10","key":"6_CR34","first-page":"449","volume":"10","author":"VV Rao","year":"2017","unstructured":"Rao, V.V., Srinivasa, R.: Neutrosophic pre-open sets and pre-closed sets in neutrosophic topology. Int. J. ChemTech Res. 10(10), 449\u2013458 (2017)","journal-title":"Int. J. ChemTech Res."},{"key":"6_CR35","first-page":"198","volume":"35","author":"M Riaz","year":"2020","unstructured":"Riaz, M., Smarandache, F., Karaaslan, F., Hashmi, M.R., Nawaz, I.: Neutrosophic soft rough topology and its applications to multi-criteria decision-making. Neutrosophic Sets Syst. 35, 198\u2013219 (2020)","journal-title":"Neutrosophic Sets Syst."},{"key":"6_CR36","doi-asserted-by":"publisher","unstructured":"Roy, R., Pramanik, S., Roy, T.K.: Interval rough neutrosophic TOPSIS strategy for multi-attribute decision making. In: Neutrosophic Sets in Decision Analysis and Operations Research, 21 p (2020). https:\/\/doi.org\/10.4018\/978-1-7998-2555-5.ch005","DOI":"10.4018\/978-1-7998-2555-5.ch005"},{"key":"6_CR37","unstructured":"Smarandache, F.: A Unifying Field in Logics, Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth, American Research Press (1998)"},{"issue":"4","key":"6_CR38","doi-asserted-by":"publisher","first-page":"31","DOI":"10.9790\/5728-0343135","volume":"3","author":"AA Salama","year":"2012","unstructured":"Salama, A.A., Alblowi, S.A.: Neutrosophic set and neutrosophic topological space. ISOR J. Math. 3(4), 31\u201335 (2012)","journal-title":"ISOR J. Math."},{"key":"6_CR39","first-page":"50","volume":"9","author":"CAC Sweety","year":"2015","unstructured":"Sweety, C.A.C., Arockiarani, I.: Topological structures of fuzzy neutrosophic rough sets. Neutrosophic Sets Syst. 9, 50\u201357 (2015)","journal-title":"Neutrosophic Sets Syst."},{"issue":"4","key":"6_CR40","doi-asserted-by":"publisher","first-page":"1851","DOI":"10.26637\/MJM0804\/0086","volume":"8","author":"R Vijayalakshmi","year":"2020","unstructured":"Vijayalakshmi, R., Mookambika, A.P.: Properties of neutrosophic nano semi open sets. Malaya J. Matematik 8(4), 1851\u20131858 (2020)","journal-title":"Malaya J. Matematik"},{"issue":"5","key":"6_CR41","first-page":"1","volume":"3","author":"H Wang","year":"2005","unstructured":"Wang, H., Madiraju, P., Zhang, Y.Q., Sunderraman, R.: Interval neutrosophic sets. Int. J. Appl. Math. Stat. 3(5), 1\u201318 (2005)","journal-title":"Int. J. Appl. Math. Stat."},{"key":"6_CR42","first-page":"410","volume":"4","author":"H Wang","year":"2010","unstructured":"Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R.: Single valued neutrosophic sets. Multispace Multistructure 4, 410\u2013413 (2010)","journal-title":"Multispace Multistructure"},{"key":"6_CR43","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338\u2013353 (1965)","journal-title":"Inf. Control"}],"container-title":["Lecture Notes in Computer Science","Transactions on Rough Sets XXIII"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-66544-2_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T11:54:39Z","timestamp":1710244479000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-662-66544-2_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783662665435","9783662665442"],"references-count":43,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-66544-2_6","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"1 January 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"The authors declare that they have no conflict of interest.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}