{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:54:46Z","timestamp":1777704886327,"version":"3.51.4"},"reference-count":26,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,1,4]]},"abstract":"<jats:p>In this paper, neutrosophic N -structures are applied to p-ideals of BCI-algebras. In fact, we introduce the notion of neutrosophic N -p-ideal in BCI-algebras, and investigate several properties. Further, we present characterizations of neutrosophic N -p-ideal. Moreover, we consider relations between a neutrosophic N -ideal and a neutrosophic N -p-ideal. Also, we provide conditions for a neutrosophic N -ideal to be a neutrosophic N -p-ideal. Furthermore, it is proved that the neutrosophic N -structure Q N G over Q is a neutrosophic N p -ideal of Q \u21d4 G is a p-ideal of Q where G is a non-empty subset of a BCI-algebras Q.<\/jats:p>","DOI":"10.3233\/jifs-201309","type":"journal-article","created":{"date-parts":[[2020,11,3]],"date-time":"2020-11-03T12:01:32Z","timestamp":1604404892000},"page":"1097-1105","source":"Crossref","is-referenced-by-count":14,"title":["p-ideals of BCI-algebras based on neutrosophic N -structures"],"prefix":"10.1177","volume":"40","author":[{"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-201309_ref1","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.asoc.2019.01.035","article-title":"An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number","volume":"77","author":"A-Basset","year":"2019","journal-title":"Applied Soft Computing"},{"issue":"2","key":"10.3233\/JIFS-201309_ref2","first-page":"38:1","article-title":"A group decision making framework based on neutrosophic TOPSIS approach for smart medical device selection","volume":"43","author":"A-Basset","year":"2019","journal-title":"Journal of Medical Systems"},{"key":"10.3233\/JIFS-201309_ref3","doi-asserted-by":"crossref","first-page":"3963","DOI":"10.1007\/s00500-019-04166-1","article-title":"Fuzzy minimum spanning tree with interval type 2 fuzzy arc length: formulation and a new genetic algorithm","volume":"24","author":"Dey","year":"2020","journal-title":"Soft Computing"},{"issue":"4","key":"10.3233\/JIFS-201309_ref4","doi-asserted-by":"crossref","first-page":"255","DOI":"10.22452\/mjcs.vol31no4.2","article-title":"A genetic algorithm for solving fuzzy shortest path problems with interval type-2 fuzzy arc lengths","volume":"31","author":"Dey","year":"2018","journal-title":"Malaysian Journal of Computer Science"},{"issue":"4","key":"10.3233\/JIFS-201309_ref5","doi-asserted-by":"crossref","first-page":"62","DOI":"10.3390\/math4040062","article-title":"Interval type 2 fuzzy set in fuzzy shortest path problem","volume":"4","author":"Dey","year":"2016","journal-title":"Mathematics"},{"key":"10.3233\/JIFS-201309_ref6","unstructured":"Huang Y.S. , BCI-algebra, Science Press, Beijing, 2006."},{"key":"10.3233\/JIFS-201309_ref7","first-page":"121","article-title":"Neutrosophic Vague Line Graphs","volume":"36","author":"Hussain","year":"2020","journal-title":"Neutrosophic Sets and Systems"},{"issue":"6","key":"10.3233\/JIFS-201309_ref8","doi-asserted-by":"crossref","first-page":"551","DOI":"10.3390\/math7060551","article-title":"A study of regular and irregular neutrosophic graphs with real life applications","volume":"7","author":"Huang","year":"2019","journal-title":"Mathematics"},{"key":"10.3233\/JIFS-201309_ref9","doi-asserted-by":"crossref","first-page":"26","DOI":"10.3792\/pja\/1195522171","article-title":"An algebra related with a propositional calculus","volume":"42","author":"Is\u00e9ki","year":"1966","journal-title":"Proc Jpn Acad"},{"key":"10.3233\/JIFS-201309_ref10","doi-asserted-by":"publisher","first-page":"128","DOI":"10.3390\/info8040128","article-title":"Neutrosophic N -structures applied to BCK\/BCI-algebras","volume":"8","author":"Jun","year":"2017","journal-title":"Information"},{"key":"10.3233\/JIFS-201309_ref11","first-page":"417","article-title":"N-ideals of BCK\/BCI-algebras","volume":"22","author":"Jun","year":"2009","journal-title":"Journal of the Chungcheong Mathematical Society"},{"key":"10.3233\/JIFS-201309_ref12","doi-asserted-by":"publisher","first-page":"3","DOI":"10.3390\/arioms7010003","article-title":"Neutrosophic positive implicative N-ideals in BCK-algebras","volume":"7","author":"Jun","year":"2018","journal-title":"Arioms"},{"key":"10.3233\/JIFS-201309_ref13","doi-asserted-by":"publisher","first-page":"74","DOI":"10.3390\/math6050074","article-title":"Neutrosophic permeable values and energetic subsets with applications in BCK\/BCI-algebras","volume":"6","author":"Jun","year":"2018","journal-title":"Mathematics"},{"issue":"6","key":"10.3233\/JIFS-201309_ref14","doi-asserted-by":"crossref","first-page":"583","DOI":"10.30948\/afmi.2017.14.6.583","article-title":"Neutrosophic N-structures and their applications in semigroups","volume":"14","author":"Khan","year":"2017","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"issue":"40","key":"10.3233\/JIFS-201309_ref15","doi-asserted-by":"crossref","first-page":"4809","DOI":"10.3233\/JIFS-191520","article-title":"A study of m-polar neutrosophic graph with applications","volume":"38","author":"Mohanta","year":"2020","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"issue":"2","key":"10.3233\/JIFS-201309_ref17","first-page":"232","article-title":"Further results of neutrosophic subalgebras in BCK\/BCI-algebras based on neutrosophic point","volume":"10","author":"Muhiuddin","year":"2020","journal-title":"TWMS Journal of Applied and Engineering Mathematics"},{"key":"10.3233\/JIFS-201309_ref18","first-page":"161","article-title":"Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras","volume":"25","author":"Muhiuddin","year":"2019","journal-title":"Neutrosophic Sets and Systems"},{"key":"10.3233\/JIFS-201309_ref19","doi-asserted-by":"crossref","first-page":"277","DOI":"10.3390\/sym11020277","article-title":"Implicative neutrosophic quadruple BCK-algebras and ideals","volume":"11","author":"Muhiuddin","year":"2019","journal-title":"Symmetry"},{"issue":"01","key":"10.3233\/JIFS-201309_ref20","first-page":"1950011","article-title":"Implicative N-ideals of BCK-algebras based on neutrosophic N-structures, Discrete Mathematics","volume":"11","author":"Muhiuddin","year":"2019","journal-title":"Algorithms and Applications"},{"key":"10.3233\/JIFS-201309_ref21","first-page":"36","article-title":"Further results on (\u2208,\u2208)-neutrosophic subalgebras and ideals in BCK\/BCI-algebras","volume":"20","author":"Muhiuddin","year":"2018","journal-title":"Neutrosophic Sets and Systems"},{"issue":"1","key":"10.3233\/JIFS-201309_ref22","first-page":"26","article-title":"p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals","volume":"1","author":"Muhiuddin","year":"2018","journal-title":"Annals of Communication in Mathematics"},{"issue":"1","key":"10.3233\/JIFS-201309_ref23","first-page":"1","article-title":"Neutrosophic subsemigroups","volume":"1","author":"Muhiuddin","year":"2018","journal-title":"Annals of Communication in Mathematics"},{"key":"10.3233\/JIFS-201309_ref24","unstructured":"Smarandache F. , A unifying field in logics. Neutrosophic logic: neutrosophy, neutrosophic set, neutrosophic probability, American Reserch Press, Rehoboth, NM, USA, 1999."},{"issue":"3","key":"10.3233\/JIFS-201309_ref25","first-page":"287","article-title":"Neutrosophic set-a generalization of the intuitionistic fuzzy set","volume":"24","author":"Smarandache","year":"2005","journal-title":"International Journal of Pure and Applied Mathematics"},{"issue":"4","key":"10.3233\/JIFS-201309_ref26","doi-asserted-by":"crossref","first-page":"130","DOI":"10.3390\/info8040130","article-title":"Neutrosophic commutative N-ideals in BCK-algebras","volume":"8","author":"Song","year":"2017","journal-title":"Information"},{"key":"10.3233\/JIFS-201309_ref27","first-page":"121","article-title":"On p-ideals of a BCI-algebra","volume":"27","author":"Zhang","year":"1994","journal-title":"Punjab University Journal of Mathematics"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-201309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:42:16Z","timestamp":1777455736000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-201309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,4]]},"references-count":26,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/jifs-201309","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,4]]}}}