{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:29:36Z","timestamp":1771676976338,"version":"3.50.1"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,9,23]],"date-time":"2022-09-23T00:00:00Z","timestamp":1663891200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2022,9,23]]},"abstract":"<jats:p>In this article, we apply the concept of a <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                        <a:mi>t<\/a:mi>\n                     <\/a:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy set to PMS-ideals in PMS-algebras. The notion of the <jats:inline-formula>\n                     <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <c:mi>t<\/c:mi>\n                     <\/c:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal of PMS-algebra is introduced, and several related properties are studied. The relationships between a <jats:inline-formula>\n                     <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\">\n                        <e:mi>t<\/e:mi>\n                     <\/e:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal and a <jats:inline-formula>\n                     <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\">\n                        <g:mi>t<\/g:mi>\n                     <\/g:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra, as well as the relationships between an intuitionistic fuzzy PMS-ideal and a <jats:inline-formula>\n                     <i:math xmlns:i=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\">\n                        <i:mi>t<\/i:mi>\n                     <\/i:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal are discussed in detail. A condition for an intuitionistic fuzzy set to be a <jats:inline-formula>\n                     <k:math xmlns:k=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\">\n                        <k:mi>t<\/k:mi>\n                     <\/k:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal is provided. The <jats:inline-formula>\n                     <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\">\n                        <m:mi>t<\/m:mi>\n                     <\/m:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideals of PMS-algebra are described using their <jats:inline-formula>\n                     <o:math xmlns:o=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M8\">\n                        <o:mfenced open=\"(\" close=\")\" separators=\"|\">\n                           <o:mrow>\n                              <o:mi>\u03b1<\/o:mi>\n                              <o:mo>,<\/o:mo>\n                              <o:mi>\u03b2<\/o:mi>\n                           <\/o:mrow>\n                        <\/o:mfenced>\n                     <\/o:math>\n                  <\/jats:inline-formula> level cuts. The homomorphism of a <jats:inline-formula>\n                     <t:math xmlns:t=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M9\">\n                        <t:mi>t<\/t:mi>\n                     <\/t:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are explored. The Cartesian product of any two <jats:inline-formula>\n                     <v:math xmlns:v=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M10\">\n                        <v:mi>t<\/v:mi>\n                     <\/v:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideals is discussed, and some related results are derived. The Cartesian product of the <jats:inline-formula>\n                     <x:math xmlns:x=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M11\">\n                        <x:mi>t<\/x:mi>\n                     <\/x:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideals is also characterized using its <jats:inline-formula>\n                     <z:math xmlns:z=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M12\">\n                        <z:mfenced open=\"(\" close=\")\" separators=\"|\">\n                           <z:mrow>\n                              <z:mi>\u03b1<\/z:mi>\n                              <z:mo>,<\/z:mo>\n                              <z:mi>\u03b2<\/z:mi>\n                           <\/z:mrow>\n                        <\/z:mfenced>\n                     <\/z:math>\n                  <\/jats:inline-formula> level cuts. The strongest <jats:inline-formula>\n                     <eb:math xmlns:eb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M13\">\n                        <eb:mi>t<\/eb:mi>\n                     <\/eb:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-relation in a PMS-algebra is defined. Finally, the relationships between the strongest <jats:inline-formula>\n                     <gb:math xmlns:gb=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M14\">\n                        <gb:mi>t<\/gb:mi>\n                     <\/gb:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-relation and <jats:inline-formula>\n                     <ib:math xmlns:ib=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M15\">\n                        <ib:mi>t<\/ib:mi>\n                     <\/ib:math>\n                  <\/jats:inline-formula>-intuitionistic fuzzy PMS-ideal are studied.<\/jats:p>","DOI":"10.1155\/2022\/5101293","type":"journal-article","created":{"date-parts":[[2022,9,23]],"date-time":"2022-09-23T22:35:17Z","timestamp":1663972517000},"page":"1-13","source":"Crossref","is-referenced-by-count":2,"title":["t-Intuitionistic Fuzzy Structures on PMS-Ideals of a PMS-Algebra"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7726-5248","authenticated-orcid":true,"given":"Beza Lamesgin","family":"Derseh","sequence":"first","affiliation":[{"name":"Bahir Dar University Department of Mathematics, Bahir Dar, Ethiopia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Berhanu Assaye","family":"Alaba","sequence":"additional","affiliation":[{"name":"Bahir Dar University Department of Mathematics, Bahir Dar, Ethiopia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yohannes Gedamu","family":"Wondifraw","sequence":"additional","affiliation":[{"name":"Bahir Dar University Department of Mathematics, Bahir Dar, Ethiopia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1155\/ijmms.2005.1899"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1155\/IJMMS\/2006\/35930"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s13370-015-0330-y"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s13370-018-0561-9"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90036-5"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1002\/int.20418"},{"key":"8","first-page":"1378","article-title":"On hesitant fuzzy sets and decision","author":"V. 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