{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:11:00Z","timestamp":1777705860429,"version":"3.51.4"},"reference-count":26,"publisher":"SAGE Publications","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2022,4,28]]},"abstract":"<jats:p>In this paper we introduce the concept of (weak) fuzzy subsupermodules based on (thin) supermodules different from fuzzy subhypermodules. In this study, the concept of \u03b1-cuts play a main role for constructing of extended (weak) fuzzy subsupermodules. In final, we introduce a notation of residual quotients of (weak) fuzzy subsupermodules and obtain some conditions to be a (weak) fuzzy subsupermodule. Also obtained some applied results in residual quotients of (weak) fuzzy subsupermodules of superrings as specially subsupermodules.<\/jats:p>","DOI":"10.3233\/jifs-211655","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T13:23:48Z","timestamp":1646141028000},"page":"5165-5176","source":"Crossref","is-referenced-by-count":1,"title":["On fuzzy subsupermodule"],"prefix":"10.1177","volume":"42","author":[{"given":"Mohammad","family":"Hamidi","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Payame Noor, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fatemeh","family":"Faraji","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Payame Noor, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"2\u20133","key":"10.3233\/JIFS-211655_ref1","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1080\/09720529.2003.10697969","article-title":"On Categories of Hypergroups and Hypermodules","volume":"6","author":"Ameri","year":"2003","journal-title":"JDiscrete Math Sci Cryptography"},{"issue":"10","key":"10.3233\/JIFS-211655_ref2","doi-asserted-by":"crossref","first-page":"2150186","DOI":"10.1142\/S0219498821501863","article-title":"Projective and Injective KrasnerHypermodules","volume":"20","author":"Ameri","year":"2021","journal-title":"J Algebra Appl"},{"key":"10.3233\/JIFS-211655_ref3","doi-asserted-by":"crossref","first-page":"902","DOI":"10.3390\/math7100902","article-title":"Superring ofPolynomials Over a Hyperring","volume":"7","author":"Ameri","year":"2019","journal-title":"Mathematics"},{"issue":"1","key":"10.3233\/JIFS-211655_ref4","first-page":"5","article-title":"Multiplicative Hyperringof Fractions and Coprime Hyperideals","volume":"25","author":"Ameri","year":"2017","journal-title":"An \u015et. Univ. OvidiusConstan\u0163a"},{"key":"10.3233\/JIFS-211655_ref5","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1080\/00927870701724078","article-title":"\u03b8*-Relation onHypermodules and Fundamental Modules Over Commutative FundamentalRings","volume":"36","author":"Anvariyeh","year":"2008","journal-title":"Comm Algebra"},{"issue":"A3","key":"10.3233\/JIFS-211655_ref6","first-page":"188","article-title":"Transitivity of\u03b8*-Relation on Hypermodules","volume":"32","author":"Anvariyeh","year":"2008","journal-title":"Iran J Sci Technol Trans ASci"},{"issue":"1","key":"10.3233\/JIFS-211655_ref7","doi-asserted-by":"crossref","first-page":"2050019","DOI":"10.1142\/S021949882050019X","article-title":"A Note On The Support of aHypermodule","volume":"19","author":"Bordbar","year":"2020","journal-title":"J Algebra Appl"},{"issue":"1","key":"10.3233\/JIFS-211655_ref8","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/S0165-0114(97)00071-7","article-title":"Fuzzy Hv-Groups","volume":"101","author":"Davvaz","year":"1999","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-211655_ref10","first-page":"3879","article-title":"Fuzzy Krasner (m, n)-Hyperrings","volume":"59","author":"Davvaz","year":"2010","journal-title":"Comput Math withAppl"},{"key":"10.3233\/JIFS-211655_ref11","doi-asserted-by":"crossref","first-page":"13025","DOI":"10.1007\/s00500-019-04299-3","article-title":"Fundamental Relation on FuzzyHypermodules","volume":"23","author":"Davvaz","year":"2019","journal-title":"Soft Comput"},{"issue":"2","key":"10.3233\/JIFS-211655_ref12","first-page":"15","article-title":"On Graded Hyperrings and GradedHypermodules","volume":"7","author":"Farzalipour","year":"2020","journal-title":"Algebr Struct their Appl"},{"issue":"16","key":"10.3233\/JIFS-211655_ref13","doi-asserted-by":"crossref","first-page":"2366","DOI":"10.1016\/j.fss.2008.11.007","article-title":"Fuzzy Hyperrings","volume":"160","author":"Fotea","year":"2009","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-211655_ref14","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1016\/j.camwa.2008.11.004","article-title":"Fuzzy Hypermodules","volume":"57","author":"Fotea","year":"2009","journal-title":"Comput Math with Appl"},{"issue":"1","key":"10.3233\/JIFS-211655_ref16","first-page":"121","article-title":"Normal Injective Resolution of General Krasner Hypermodule","volume":"10","author":"Hamidi","year":"2022","journal-title":"Journal of Algebraic Systems"},{"issue":"1","key":"10.3233\/JIFS-211655_ref17","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF01761468","article-title":"Free and Cyclic Hypermodules","volume":"150","author":"Massouros","year":"1988","journal-title":"Ann Mat PuraAppl"},{"issue":"9","key":"10.3233\/JIFS-211655_ref18","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.3390\/math9091014","article-title":"An Overview of the Foundationsof the Hypergroup Theory","volume":"9","author":"Massouros","year":"2021","journal-title":"Mathematics"},{"issue":"1","key":"10.3233\/JIFS-211655_ref22","first-page":"131","article-title":"Construction of (M, N)-Hypermodule Over (R, S)-Hyperring","volume":"11","author":"Mirvakili","year":"2019","journal-title":"Acta UniversitatisSapientiae, Mathematica"},{"key":"10.3233\/JIFS-211655_ref23","first-page":"298","article-title":"Sur Certaines Classes De StructuresHypercompositionnelles","volume":"48","author":"Mittas","year":"1973","journal-title":"Proceedings of the Academy of Athens"},{"issue":"8","key":"10.3233\/JIFS-211655_ref25","doi-asserted-by":"crossref","first-page":"3184","DOI":"10.1080\/00927872.2020.1730865","article-title":"Mousavi, Free hypermodules, a categorical approach","volume":"48","author":"Sh.","year":"2020","journal-title":"Commun Algebra"},{"issue":"3","key":"10.3233\/JIFS-211655_ref26","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1080\/09720529.2019.1614336","article-title":"Normal Subfuzzy (m, n)-hypermodules","volume":"22","author":"Norouzi","year":"2019","journal-title":"J DiscreteMath Sci Cryptography"},{"issue":"1","key":"10.3233\/JIFS-211655_ref27","first-page":"145","article-title":"Isomorphism Theorems of FuzzyHypermodules","volume":"25","author":"Norouzi","year":"2017","journal-title":"An. \u015et Univ Ovidius Constan\u0163a"},{"key":"10.3233\/JIFS-211655_ref28","doi-asserted-by":"crossref","first-page":"891","DOI":"10.1007\/s00500-007-0257-9","article-title":"Fuzzy Hypersemigroups","volume":"12","author":"Sen","year":"2008","journal-title":"Soft Comput"},{"key":"10.3233\/JIFS-211655_ref29","first-page":"475","article-title":"On Properties ofVarious Morphisms in the Categories of General Krasner Hypermodules","volume":"39","author":"Shojaei","year":"2018","journal-title":"Ital J Pure Appl Math"},{"key":"10.3233\/JIFS-211655_ref30","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1007\/s10114-007-0951-7","article-title":"A New View on FuzzyHypermodules","volume":"23","author":"Zhan","year":"2007","journal-title":"Acta Math Sin Engl Ser"},{"key":"10.3233\/JIFS-211655_ref31","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1016\/j.camwa.2009.09.012","article-title":"The L-Fuzzy Hypermodules","volume":"59","author":"Yin","year":"2010","journal-title":"Comput Math with Appl"},{"issue":"3","key":"10.3233\/JIFS-211655_ref32","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf Control"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-211655","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:45:26Z","timestamp":1777455926000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-211655"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,28]]},"references-count":26,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.3233\/jifs-211655","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,28]]}}}