{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,24]],"date-time":"2026-08-24T14:38:39Z","timestamp":1787582319919,"version":"build-2736575974"},"reference-count":57,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T00:00:00Z","timestamp":1562284800000},"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":[[2019,9,9]]},"abstract":"<jats:p>\n                    In this paper, the concept of quasi-coincidence of a bipolar fuzzy point within a bipolar fuzzy set is introduced. The notion of \u2208-bipolar fuzzy soft set and\n                    <jats:italic>q<\/jats:italic>\n                    -bipolar fuzzy soft set is introduced based on a bipolar fuzzy set and characterizations for an \u2208-bipolar fuzzy soft set and a\n                    <jats:italic>q<\/jats:italic>\n                    -bipolar fuzzy soft set to be bipolar fuzzy soft\n                    <jats:italic>BCK<\/jats:italic>\n                    \/\n                    <jats:italic>BCI<\/jats:italic>\n                    -algebras are given. Also, the notion of (\u2208\u00a0, \u2208\u00a0\u2228\u00a0\n                    <jats:italic>q<\/jats:italic>\n                    )-bipolar fuzzy subalgebras and ideals are introduced and characterizes for an \u2208-bipolar fuzzy soft set and\n                    <jats:italic>q<\/jats:italic>\n                    -bipolar fuzzy soft set to be a bipolar fuzzy soft\n                    <jats:italic>BCK<\/jats:italic>\n                    \/\n                    <jats:italic>BCI<\/jats:italic>\n                    -algebras are established. Some characterization theorems of these (\u2208\u00a0, \u2208\u00a0\u2228\u00a0\n                    <jats:italic>q<\/jats:italic>\n                    )-bipolar fuzzy soft subalgebras and ideals are derived. The relationship among these (\u2208\u00a0, \u2208\u00a0\u2228\u00a0\n                    <jats:italic>q<\/jats:italic>\n                    )-bipolar fuzzy soft subalgebras and ideals are also considered.\n                  <\/jats:p>","DOI":"10.3233\/jifs-18877","type":"journal-article","created":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T15:04:12Z","timestamp":1562684652000},"page":"2785-2795","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":17,"title":["Bipolar fuzzy soft subalgebras and ideals of\n                    <i>BCK<\/i>\n                    \/\n                    <i>BCI<\/i>\n                    -algebras based on bipolar fuzzy points"],"prefix":"10.1177","volume":"37","author":[{"given":"Chiranjibe","family":"Jana","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tapan","family":"Senapati","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Padima Janakalyan Banipith, Kukurakhupi, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"K.P.","family":"Shum","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Yunnan University, Kunming, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Madhumangal","family":"Pal","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2019,7,5]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"e_1_3_2_3_2","unstructured":"MolodtsovD. 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