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The notions of intuitionistic N-fuzzy bi\u0393-ternary subsemigroup and intuitionistic N-fuzzy bi\u0393-left (right, lateral and bi) ideals have been defined and related properties have been investigated here. The characterization of bi\u0393-ternary semigroup under these ideals has been established.<\/jats:p>","DOI":"10.3233\/ifs-151817","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T10:57:51Z","timestamp":1455015471000},"page":"951-960","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Intuitionistic N-fuzzy set and its application in bi\u0393-ternary semigroups"],"prefix":"10.1177","volume":"30","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacob","family":"Kavikumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Azme Bin","family":"Khamis","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,10,30]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.4134\/CKMS.2013.28.4.709"},{"key":"e_1_3_1_3_2","first-page":"311","article-title":"Characterization of bi \u0393-ternary semigroups by their ideals","volume":"34","author":"Akram M.","year":"2015","unstructured":"AkramM., KavikumarJ. and KhamisA., Characterization of bi \u0393-ternary semigroups by their ideals, Italian Journal of Pure and Applied Mathematics N-34 (2015), 311\u2013328.","journal-title":"Italian Journal of Pure and Applied Mathematics"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_5_2","first-page":"37","article-title":"Intuitionistic fuzzy subgroupoids","author":"Biswas R.","year":"1989","unstructured":"BiswasR., Intuitionistic fuzzy subgroupoids, Mathematical Forum x (1989), 37\u201346.","journal-title":"Mathematical Forum x"},{"key":"e_1_3_1_6_2","first-page":"417","article-title":"N-ideals of BCK\/BCIalgebras","volume":"22","author":"Jun Y.B.","year":"2009","unstructured":"JunY.B., LeeK.J. and SongS.Z., N-ideals of BCK\/BCIalgebras, J Chungcheong Math Soc 22 (2009), 417\u2013437.","journal-title":"J Chungcheong Math Soc"},{"key":"e_1_3_1_7_2","first-page":"133","article-title":"Coupled N-structures and its applications in BCK\/BCI-algerbas","volume":"37","author":"Jun Y.B.","year":"2013","unstructured":"JunY.B., AhnS.S. and WilliamsD.R.P., Coupled N-structures and its applications in BCK\/BCI-algerbas, Iranian Journal of Science & Technology, IJST 37A2 (2013), 133\u2013140.","journal-title":"Iranian Journal of Science & Technology, IJST"},{"key":"e_1_3_1_8_2","article-title":"N-fuzzy ideals in ordered semigroups","volume":"14","author":"Khan A.","year":"2009","unstructured":"KhanA., JunY.B. and ShabirM., N-fuzzy ideals in ordered semigroups, International Journal of Mathematics and Mathematical Sciences, Volume 2009, 14. 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