{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T19:10:48Z","timestamp":1776280248576,"version":"3.50.1"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"21-22","license":[{"start":{"date-parts":[[2024,11,1]],"date-time":"2024-11-01T00:00:00Z","timestamp":1730419200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,11,1]],"date-time":"2024-11-01T00:00:00Z","timestamp":1730419200000},"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":["Soft Comput"],"published-print":{"date-parts":[[2024,11]]},"DOI":"10.1007\/s00500-024-10318-9","type":"journal-article","created":{"date-parts":[[2024,11,20]],"date-time":"2024-11-20T13:02:14Z","timestamp":1732107734000},"page":"12869-12877","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Determining interactions between objects from different universes: (inverse) object interaction set for binary soft sets"],"prefix":"10.1007","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3875-1398","authenticated-orcid":false,"given":"Orhan","family":"Dalk\u0131l\u0131\u00e7","sequence":"first","affiliation":[]},{"given":"Ismail Naci","family":"Cangul","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,11,20]]},"reference":[{"issue":"4","key":"10318_CR1","first-page":"452","volume":"9","author":"A A\u00e7\u0131kg\u00f6z","year":"2016","unstructured":"A\u00e7\u0131kg\u00f6z A, Ta\u015f N (2016) Binary soft set theory. Eur J Pure Appl Math 9(4):452\u2013463","journal-title":"Eur J Pure Appl Math"},{"issue":"2","key":"10318_CR2","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s41066-021-00270-6","volume":"7","author":"G Ali","year":"2022","unstructured":"Ali G, Ansari MN (2022) Multiattribute decision-making under Fermatean fuzzy bipolar soft framework. Granul Comput 7(2):337\u2013352","journal-title":"Granul Comput"},{"issue":"6","key":"10318_CR3","doi-asserted-by":"publisher","first-page":"437","DOI":"10.12732\/ijam.v30i6.1","volume":"30","author":"SS Benchalli","year":"2017","unstructured":"Benchalli SS, Patil PG, Dodamani AS, Pradeepkumar J (2017) On binary soft topological spaces. Int J Appl Math 30(6):437\u2013453","journal-title":"Int J Appl Math"},{"issue":"9","key":"10318_CR4","first-page":"5393","volume":"13","author":"SS Benchalli","year":"2017","unstructured":"Benchalli SS, Patil PG, Dodamani AS, Pradeepkumar J (2017) On binary soft separation axioms in binary soft topological spaces. Global J Appl Math 13(9):5393\u20135412","journal-title":"Global J Appl Math"},{"issue":"1","key":"10318_CR5","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1080\/16583655.2021.1996800","volume":"15","author":"O Dalk\u0131l\u0131\u00e7","year":"2021","unstructured":"Dalk\u0131l\u0131\u00e7 O (2021) Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets. J Taibah Univ Sc 15(1):609\u2013618","journal-title":"J Taibah Univ Sc"},{"key":"10318_CR6","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/s12190-020-01495-5","volume":"67","author":"O Dalk\u0131l\u0131\u00e7","year":"2021","unstructured":"Dalk\u0131l\u0131\u00e7 O (2021) Relations on neutrosophic soft set and their application in decision making. J Appl Math Comput 67:257\u2013273","journal-title":"J Appl Math Comput"},{"issue":"7","key":"10318_CR7","doi-asserted-by":"publisher","first-page":"1428","DOI":"10.1080\/00207160.2021.1978436","volume":"99","author":"O Dalk\u0131l\u0131\u00e7","year":"2022","unstructured":"Dalk\u0131l\u0131\u00e7 O (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. Int J Comput Math 99(7):1428\u20131437","journal-title":"Int J Comput Math"},{"key":"10318_CR8","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s40747-021-00378-x","volume":"8","author":"O Dalk\u0131l\u0131\u00e7","year":"2022","unstructured":"Dalk\u0131l\u0131\u00e7 O (2022) On topological structures of virtual fuzzy parametrized fuzzy soft sets. Complex Intell Syst 8:337\u2013348","journal-title":"Complex Intell Syst"},{"issue":"1","key":"10318_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s40314-022-01759-9","volume":"41","author":"N Demirta\u015f","year":"2022","unstructured":"Demirta\u015f N, Dalk\u0131l\u0131\u00e7 O, Riaz M (2022) A mathematical model to the inadequacy of bipolar soft sets in uncertainty environment: N-polar soft set. Comput Appl Math 41(1):1\u201319","journal-title":"Comput Appl Math"},{"issue":"4","key":"10318_CR10","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1080\/16168658.2020.1773600","volume":"11","author":"S Hussain","year":"2019","unstructured":"Hussain S (2019) Binary soft connected spaces and an application of binary soft sets in decision making problem. Fuzzy Inform Eng 11(4):506\u2013521","journal-title":"Fuzzy Inform Eng"},{"issue":"3","key":"10318_CR11","first-page":"644","volume":"48","author":"S Hussain","year":"2019","unstructured":"Hussain S (2019) On some structures of binary soft topological spaces. Hacettepe J Math Stat 48(3):644\u2013656","journal-title":"Hacettepe J Math Stat"},{"issue":"5\u20136","key":"10318_CR12","first-page":"533","volume":"38","author":"S Hussain","year":"2020","unstructured":"Hussain S, Alkhalifah M (2020) An application of binary soft mappings to the problem in medical expert systems. J Appl Math Inform 38(5\u20136):533\u2013545","journal-title":"J Appl Math Inform"},{"issue":"1","key":"10318_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4018\/IJSKD.289036","volume":"14","author":"G Jothi","year":"2022","unstructured":"Jothi G, Azar AT, Fouad KM, Sabbeh SF (2022) Modified dominance-based soft set approach for feature selection. Int J Sociotechnol Knowl Dev 14(1):1\u201320","journal-title":"Int J Sociotechnol Knowl Dev"},{"issue":"2","key":"10318_CR14","doi-asserted-by":"publisher","first-page":"23","DOI":"10.26480\/asm.02.2018.23.26","volume":"2","author":"AM Khattak","year":"2018","unstructured":"Khattak AM, Ul-Haq Z, Barki Z, Ilyas M (2018) Application of soft P-open set to binary soft structures. Acta Scient Malaysia 2(2):23\u201326","journal-title":"Acta Scient Malaysia"},{"key":"10318_CR15","doi-asserted-by":"publisher","first-page":"42169","DOI":"10.1109\/ACCESS.2019.2907573","volume":"7","author":"B Liu","year":"2019","unstructured":"Liu B, He S, He D, Zhang Y, Guizani M (2019) A spark-based parallel fuzzy $$c$$-means segmentation algorithm for agricultural image big data. IEEE access 7:42169\u201342180","journal-title":"IEEE access"},{"issue":"3","key":"10318_CR16","doi-asserted-by":"publisher","first-page":"536","DOI":"10.2174\/1386207323666201230092354","volume":"25","author":"JB Liu","year":"2022","unstructured":"Liu JB, Ali S, Mahmood MK, Mateen MH (2022) On m-polar diophantine fuzzy N-soft set with applications. Combin Chem High Through Screen 25(3):536\u2013546","journal-title":"Combin Chem High Through Screen"},{"key":"10318_CR17","unstructured":"Metilda PG, Subhashini DJ (2020) Remarks on fuzzy binary soft set and its characters. In: proceedings of International conference on Materials and Mathematical Sciences"},{"key":"10318_CR18","first-page":"589","volume":"1","author":"G Metilda","year":"2021","unstructured":"Metilda G, Subhashini J (2021) Some results on fuzzy binary soft point. Space 1:589\u2013592","journal-title":"Space"},{"key":"10318_CR19","doi-asserted-by":"crossref","unstructured":"Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37:19\u201331","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"10318_CR20","first-page":"775","volume":"44","author":"PG Patil","year":"2020","unstructured":"Patil PG, Bhat NN (2020) New separation axioms in binary soft topological spaces. Itali J Pure Appl Math 44:775\u2013783","journal-title":"Itali J Pure Appl Math"},{"issue":"5","key":"10318_CR21","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak Z (1982) Rough sets. Int J Comput Inform Sci 11(5):341\u2013356","journal-title":"Int J Comput Inform Sci"},{"issue":"11","key":"10318_CR22","first-page":"56","volume":"7","author":"PB Remya","year":"2018","unstructured":"Remya PB, Shalini AF (2018) Vague binary soft sets and their properties. Int J Eng Sci Math 7(11):56\u201373","journal-title":"Int J Eng Sci Math"},{"key":"10318_CR23","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inform. Control 8:338\u2013353","journal-title":"Control"},{"key":"10318_CR24","doi-asserted-by":"crossref","unstructured":"Zhang Y, Guizani M (eds)(2011) Game theory for wireless communications and networking. CRC press","DOI":"10.1201\/b10975"},{"issue":"12","key":"10318_CR25","doi-asserted-by":"publisher","first-page":"5465","DOI":"10.1007\/s00500-022-07012-z","volume":"26","author":"Y Zhang","year":"2022","unstructured":"Zhang Y, Wang C (2022) Generalized complex vague soft set and its applications. Soft Comput 26(12):5465\u20135479","journal-title":"Soft Comput"},{"issue":"7","key":"10318_CR26","doi-asserted-by":"publisher","first-page":"2239","DOI":"10.5194\/nhess-22-2239-2022","volume":"22","author":"Y Zhang","year":"2022","unstructured":"Zhang Y, Chen J, Wang Q, Tan C, Li Y, Sun X, Li Y (2022) Geographic information system models with fuzzy logic for susceptibility maps of debris flow using multiple types of parameters: a case study in Pinggu District of Beijing. China. Natl Haz Earth Syst Sci 22(7):2239\u20132255","journal-title":"China. Natl Haz Earth Syst Sci"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-024-10318-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-024-10318-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-024-10318-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,11]],"date-time":"2024-12-11T07:33:02Z","timestamp":1733902382000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-024-10318-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11]]},"references-count":26,"journal-issue":{"issue":"21-22","published-print":{"date-parts":[[2024,11]]}},"alternative-id":["10318"],"URL":"https:\/\/doi.org\/10.1007\/s00500-024-10318-9","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11]]},"assertion":[{"value":"26 June 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 November 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author declares that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical and informed consent for data used"}}]}}