{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T15:04:43Z","timestamp":1770044683997,"version":"3.49.0"},"reference-count":19,"publisher":"SAGE Publications","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,9,15]]},"abstract":"<jats:p>The aim of this manuscript is to apply bipolar fuzzy sets for dealing with several kinds of theories in LA -semigroups. To begin with, we introduce the concept of 2-absorbing (quasi-2-absorbing) bipolar fuzzy ideals and strongly 2-absorbing (quasi-strongly 2-absorbing) bipolar fuzzy ideals in LA -semigroups, and investigate several related properties. In particular, we show that a bipolar fuzzy set A = ( \u03bc A P , \u03bc A N ) over an LA -semigroup S is weakly 2-absorbing if and only if [ B \u2299 C ] \u2299 D \u2aaf A implies B \u2299 C \u2aaf A or C \u2299 D \u2aaf A or B \u2299 D \u2aaf A for any bipolar fuzzy sets B = ( \u03bc B P , \u03bc B N ) , C = ( \u03bc C P , \u03bc C N ) and D = ( \u03bc D P , \u03bc D N ) . Also, we give some characterizations of quasi-strongly 2-absorbing bipolar fuzzy ideals over an LA -semigroup S by bipolar fuzzy points. In conclusion of this paper we prove that the relationship between quasi-strongly 2-absorbing bipolar fuzzy ideals over an LA -semigroup S and quasi-2-absorbing bipolar fuzzy ideals over S.<\/jats:p>","DOI":"10.3233\/jifs-210388","type":"journal-article","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T13:06:38Z","timestamp":1632229598000},"page":"3173-3181","source":"Crossref","is-referenced-by-count":2,"title":["On 2-absorbing bipolar fuzzy ideals over LA -semigroups"],"prefix":"10.1177","volume":"41","author":[{"given":"Pairote","family":"Yiarayong","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok, Thailand"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210388_ref1","doi-asserted-by":"crossref","unstructured":"Bashir S. , Mazhar R. , Abbas H. and Shabir M. , Regular ternary semirings in terms of bipolar fuzzy ideals, Computational and Applied Mathematics 39 (2020), 319(1\u201318).","DOI":"10.1007\/s40314-020-01319-z"},{"issue":"2011","key":"10.3233\/JIFS-210388_ref2","first-page":"2002","article-title":"Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology","volume":"181","author":"Bloch","journal-title":"Information Sciences"},{"issue":"f.2","key":"10.3233\/JIFS-210388_ref3","first-page":"871","article-title":"On 2-absorbing and strongly 2-absorbing ideals of commutative semigroups","volume":"3","author":"Cay","year":"2016","journal-title":"An. 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