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<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Sistan and Baluchestan</PublisherName>
				<JournalTitle>Iranian Journal of Fuzzy Systems</JournalTitle>
				<Issn>1735-0654</Issn>
				<Volume>23</Volume>
				<Issue>5</Issue>
				<PubDate PubStatus="epublish">
					<Year>2026</Year>
					<Month>10</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Colimits in the category of structural spaces and their realizations in fuzzy-type categories</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>129</FirstPage>
			<LastPage>145</LastPage>
			<ELocationID EIdType="pii">10084</ELocationID>
			
<ELocationID EIdType="doi">10.22111/ijfs.2026.53824.9550</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Hadi</FirstName>
					<LastName>Yavari</LastName>
<Affiliation>Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Seyed Naser</FirstName>
					<LastName>Hosseini</LastName>
<Affiliation>Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2025</Year>
					<Month>11</Month>
					<Day>20</Day>
				</PubDate>
			</History>
		<Abstract>In this paper, we investigate the existence of colimits in the category of O-structural spaces, denoted by OSS. We show that OSS admits all small colimits. Special types of colimits, such as coproducts, coequalizers, and pushouts, are studied in detail. Based on these results, we explicitly describe the ‎O-structures of these colimits in several topological structures that are O‎-structural spaces, including the categories of fuzzy topological spaces in the sense of Chang, intuitionistic fuzzy topological spaces in the sense of Coker, fuzzy topological spaces in the sense of Chakraborty and Ahsanullah, soft and fuzzy soft topological spaces, neutrosophic topological spaces, hypersoft topological spaces and various types of topological molecular lattice structures. In particular, we show how these colimits can be recovered via the underlying O-structural framework. The results shed light on the internal structure of these categories and offer categorical tools for further analysis of generalized topological structures.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">O‎-structure, (fuzzy</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">intuitionistic fuzzy, soft</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">neutrosophic, structural) topology, final ‎O‎-structure, coproduct, coequalizer, pushout‎‎</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijfs.usb.ac.ir/article_10084_55834f216d1fb6ee4f7a367c0ae746eb.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
