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Syst."],"published-print":{"date-parts":[[2022,12]]},"abstract":"Abstract<\/jats:title>In this paper, we introduce the concepts of $$(\\in ,\\in \\vee (\\kappa ^*,q_\\kappa ))$$<\/jats:tex-math>\n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n \n (<\/mml:mo>\n \n \u03ba<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msup>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n \u03ba<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-fuzzy left (right) ideals and $$(\\in ,\\in \\vee (\\kappa ^*,q_\\kappa ))$$<\/jats:tex-math>\n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n \n (<\/mml:mo>\n \n \u03ba<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msup>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n \u03ba<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-fuzzy ideals in ordered semirings. Some correspondence between (left, right) ideals and $$(\\in ,\\in \\vee (\\kappa ^*,q_\\kappa ))$$<\/jats:tex-math>\n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n \n (<\/mml:mo>\n \n \u03ba<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msup>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n \u03ba<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-fuzzy (left, right) ideals of ordered semirings are presented. Moreover, the notion of $$(\\kappa ^*,\\kappa )$$<\/jats:tex-math>\n \n (<\/mml:mo>\n \n \u03ba<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msup>\n ,<\/mml:mo>\n \u03ba<\/mml:mi>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-lower part of $$(\\in ,\\in \\vee (\\kappa ^*,q_\\kappa ))$$<\/jats:tex-math>\n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n \n (<\/mml:mo>\n \n \u03ba<\/mml:mi>\n \u2217<\/mml:mo>\n <\/mml:msup>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n \u03ba<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:mrow>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-fuzzy (left, right) ideals is defined and characterizations of different classes of ordered semirings are given.<\/jats:p>","DOI":"10.1007\/s40747-022-00758-x","type":"journal-article","created":{"date-parts":[[2022,5,19]],"date-time":"2022-05-19T13:03:41Z","timestamp":1652965421000},"page":"5343-5353","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Generalized fuzzy ideals in ordered semirings"],"prefix":"10.1007","volume":"8","author":[{"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[]},{"given":"Ahsan","family":"Mahboob","sequence":"additional","affiliation":[]},{"given":"N.","family":"Abughazalah","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,19]]},"reference":[{"key":"758_CR1","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0165-0114(93)90441-J","volume":"60","author":"J Ahsan","year":"1993","unstructured":"Ahsan J, Saifullah K, Khan F (1993) Fuzzy semirings. 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