{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T08:58:45Z","timestamp":1777366725629,"version":"3.51.4"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2017,7]]},"abstract":"<jats:p> In this paper, by considering the notions of polygroup and Engel group, we introduce the concept of Engel fuzzy subpolygroups. In this regard, by a normal Engel fuzzy subpolygroup [Formula: see text] of [Formula: see text] and [Formula: see text], the fundamental relation on a given polygroup [Formula: see text], we construct an Engel fuzzy subgroup [Formula: see text]. We obtain a necessary and sufficient condition between Engel fuzzy subpolygroups and the Engel group [Formula: see text]\/[Formula: see text], the group of equivalence classes derived from a fuzzy subpolygroup of [Formula: see text]. Finally, by using these results, we get Zorn\u2019s lemma, in the Engel fuzzy subpolygroups. <\/jats:p>","DOI":"10.1142\/s1793005717500089","type":"journal-article","created":{"date-parts":[[2017,7,3]],"date-time":"2017-07-03T08:08:40Z","timestamp":1499069320000},"page":"195-206","source":"Crossref","is-referenced-by-count":5,"title":["On Engel Fuzzy Subpolygroups"],"prefix":"10.1142","volume":"13","author":[{"given":"R. A.","family":"Borzooei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran"}]},{"given":"E.","family":"Mohammadzadeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Payame Noor University, P. O. 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