<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>Volume 7, Issue 4</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>April 2018</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>-0001</Year> <Month>11</Month> <Day>30</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>ENUMERATIONS ON STAR SHAPEDNESS OF ( a, b) -LEVEL BIPOLAR SMOOTH FUZZY SOFT SUBGROUP STRUCTURES</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>31</FirstPage> <LastPage>44</LastPage> <AuthorList> <Author> <FirstName>1S.Anitha</FirstName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> <FirstName>2G.Subbiah*and</FirstName> <LastName>3M.Navaneethakrishnan</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>Y</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>In this paper, we define a new kind of fuzzy set which bipolar smooth fuzzy soft set by combining the fuzzy star shaped set and bipolar smooth fuzzy soft set. By the basic definition of bipolar smooth fuzzy soft star shaped set, we discuss the relationships among these different types of star shapedness and obtain some properties. Finally, we investigate level bipolar smooth fuzzy soft set and its properties</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>Soft set, bipolar fuzzy set, bipolar smooth fuzzy soft set, level set, bipolar fuzzy soft pseudo-star shaped set, linear invertible transformation, quasi-convex star shaped set.</Keywords> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=5120&title=ENUMERATIONS ON STAR SHAPEDNESS OF ( a, b) -LEVEL BIPOLAR SMOOTH FUZZY SOFT SUBGROUP STRUCTURES</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>