{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:24:51Z","timestamp":1777703091352,"version":"3.51.4"},"reference-count":39,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T00:00:00Z","timestamp":1557446400000},"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":[[2019,6,11]]},"abstract":"<jats:p>\n                    In this paper, we redefine the concept of prime\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy ideals of an ordered semigroup so that the prime\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy ideals are not necessarily 2-valued. Then a topological space, called the spectrum of prime\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy ideals of an ordered semigroup, has been obtained and some topological properties like separation axioms, compactness, connectedness are researched. Further, a contravariant functor from the category of commutative ordered semigroups into the category of compact and connected topological spaces is gotten. Finally, we focus on the subspace which is defined in the set of all minimal prime ideals in an ordered semigroup\n                    <jats:italic>S<\/jats:italic>\n                    and show that if\n                    <jats:italic>S<\/jats:italic>\n                    is commutative, then this subspace is Hausdorff, totally disconnected and completely regular.\n                  <\/jats:p>","DOI":"10.3233\/jifs-172286","type":"journal-article","created":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T11:33:27Z","timestamp":1558092807000},"page":"5177-5187","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Spectrum of prime\n                    <i>L<\/i>\n                    -fuzzy ideals of an ordered semigroup"],"prefix":"10.1177","volume":"36","author":[{"given":"Huanrong","family":"Wu","sequence":"first","affiliation":[{"name":"College of Mathematics and Econometrics, Hunan University, Changsha, P.R. China"}]},{"given":"Xiangnan","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Mathematics and Econometrics, Hunan University, Changsha, P.R. China"}]},{"given":"Qingguo","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and Econometrics, Hunan University, Changsha, P.R. China"}]},{"given":"Huarong","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Sciences, China Jiliang University, Hangzhou, China"}]}],"member":"179","published-online":{"date-parts":[[2019,5,10]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809088"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-015-9773-6"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788715000373"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13366-017-0340-z"},{"issue":"2","key":"e_1_3_2_6_2","first-page":"337","article-title":"Characterizations of common fixed points of one-parameter nonexpansive semigroups","volume":"16","author":"Guo Y.","year":"2015","unstructured":"Y.Guo and M.Xue, Characterizations of common fixed points of one-parameter nonexpansive semigroups, Fixed Point Theory 16(2) (2015), 337\u2013342.","journal-title":"Fixed Point Theory"},{"key":"e_1_3_2_7_2","doi-asserted-by":"crossref","unstructured":"K.C.Gupta and M.K.Kantroo The nil radical of a fuzzy ideal 1993.","DOI":"10.1016\/0165-0114(93)90228-A"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00042-9"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02572504"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-152042"},{"key":"e_1_3_2_11_2","article-title":"Connectedness for lattice-valued subsets in lattice-valued convergence spaces","author":"Jin Q.","year":"2018","unstructured":"Q.Jin, L.Li, Y.Lv, F.Zhao and J.Zou, Connectedness for lattice-valued subsets in lattice-valued convergence spaces, Quaestiones Mathematicae (2018). https:\/\/doi.org\/10.2989\/16073606.2018.1441920","journal-title":"Quaestiones Mathematicae"},{"issue":"1","key":"e_1_3_2_12_2","first-page":"123","article-title":"On completely regular poe-semigroups","volume":"37","author":"Kehayopulu N.","year":"1992","unstructured":"N.Kehayopulu, On completely regular poe-semigroups, Mathematica Japonica 37(1) (1992), 123\u2013130.","journal-title":"Mathematica Japonica"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574349"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574353"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1007\/s002330010079"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2004.03.015"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.02.004"},{"key":"e_1_3_2_18_2","volume-title":"General topology","author":"Kelley J.L.","year":"1975","unstructured":"J.L.Kelley, General topology, Courier Dover Publications, 1975."},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(93)90202-S"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-014-9576-1"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-011-9309-7"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.5486\/PMD.2011.4654"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90138-T"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90276-A"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90077-9"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00339-8"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2009.10.006"},{"issue":"5","key":"e_1_3_2_28_2","first-page":"397","article-title":"On semiprime and prime q-fuzzy ideals in ordered semigroups","volume":"6","author":"Lekkoksung S.","year":"2012","unstructured":"S.Lekkoksung, On semiprime and prime q-fuzzy ideals in ordered semigroups, International Journal of Mathematical Analysis 6(5) (2012), 397\u2013404.","journal-title":"International Journal of Mathematical Analysis"},{"key":"e_1_3_2_29_2","volume-title":"Introduction to semigroups","author":"Petrich M.","year":"1973","unstructured":"M.Petrich, Introduction to semigroups, Merrill, Columbos, 1973."},{"key":"e_1_3_2_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.107"},{"issue":"8","key":"e_1_3_2_31_2","first-page":"167","article-title":"Intuitionistic fuzzy prime spectrum of a ring","volume":"9","author":"Sharma P.K.","year":"2017","unstructured":"P.K.Sharma and G.Kaur, Intuitionistic fuzzy prime spectrum of a ring, International Journal of Fuzzy Systems 9(8) (2017), 167\u2013175.","journal-title":"International Journal of Fuzzy Systems"},{"key":"e_1_3_2_32_2","doi-asserted-by":"publisher","DOI":"10.21136\/CPMF.1938.124080"},{"key":"e_1_3_2_33_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-120731"},{"key":"e_1_3_2_34_2","volume-title":"General topology","author":"Willard S.","year":"1970","unstructured":"S.Willard, General topology, Courier Corporation, 1970."},{"key":"e_1_3_2_35_2","volume-title":"The hull-kernel topology on prime ideals in ordered semigroups","author":"Wu H.R.","year":"2018","unstructured":"H.R.Wu, Q.G.Li and B.Yu, The hull-kernel topology on prime ideals in ordered semigroups, Preprint, 2018."},{"issue":"1","key":"e_1_3_2_36_2","first-page":"1","article-title":"Prime radical theorems on ordered semigroups","volume":"1","author":"Wu M.F.","year":"2001","unstructured":"M.F.Wu and X.Y.Xie, Prime radical theorems on ordered semigroups, Jp Journal of Algebra Number Theory and Applications 1(1) (2001), 1\u20139.","journal-title":"Jp Journal of Algebra Number Theory and Applications"},{"key":"e_1_3_2_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.07.006"},{"key":"e_1_3_2_38_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12044-012-0086-3"},{"key":"e_1_3_2_39_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2016.12.005"},{"key":"e_1_3_2_40_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-172286","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-172286","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-172286","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:37:48Z","timestamp":1777455468000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-172286"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,10]]},"references-count":39,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2019,6,11]]}},"alternative-id":["10.3233\/JIFS-172286"],"URL":"https:\/\/doi.org\/10.3233\/jifs-172286","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,5,10]]}}}