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<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
<PublisherName>OICC Press</PublisherName>
<JournalTitle>Mathematical Analysis and its Contemporary Applications</JournalTitle>
<Issn></Issn>
<Volume>4</Volume>
<Issue>2</Issue>
<PubDate PubStatus="epublish">
<Year>2022</Year>
<Month>03</Month>
<Day>21</Day>
</PubDate>
</Journal>
<ArticleTitle>t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras</ArticleTitle>
<VernacularTitle></VernacularTitle>
<FirstPage></FirstPage>
<LastPage></LastPage>
<ELocationID EIdType="doi">10.30495/maca.2021.1942817.1034</ELocationID>
<Language>EN</Language>
<AuthorList>
<Author>
<FirstName>Rasul</FirstName>
<LastName>Rasuli</LastName>
<Affiliation>
              Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran
            </Affiliation>
<Identifier Source="ORCID"></Identifier>
</Author>
</AuthorList>
<PublicationType>Journal Article</PublicationType>
<History>
<PubDate PubStatus="received">
<Year>2022</Year>
<Month>03</Month>
<Day>21</Day>
</PubDate>
</History>
<Abstract>In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.</Abstract>
<ObjectList>
<Object Type="keyword">
<Param Name="value">Algebra and orders</Param>
</Object>
<Object Type="keyword">
<Param Name="value">theory of fuzzy sets</Param>
</Object>
<Object Type="keyword">
<Param Name="value">norms</Param>
</Object>
<Object Type="keyword">
<Param Name="value">products and intersections</Param>
</Object>
<Object Type="keyword">
<Param Name="value">homomorphisms</Param>
</Object>
</ObjectList>
</Article>
</ArticleSet>