<doi_batch xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" version="4.4.0"><head><doi_batch_id>2044e50c-946c-4568-b591-a8e70941ff6f</doi_batch_id><timestamp>20210804044949183</timestamp><depositor><depositor_name>wseas:wseas</depositor_name><email_address>mdt@crossref.org</email_address></depositor><registrant>MDT Deposit</registrant></head><body><journal><journal_metadata language="en"><full_title>WSEAS TRANSACTIONS ON MATHEMATICS</full_title><issn media_type="electronic">2224-2880</issn><issn media_type="print">1109-2769</issn><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23206</doi><resource>http://wseas.org/wseas/cms.action?id=4051</resource></doi_data></journal_metadata><journal_issue><publication_date media_type="online"><month>3</month><day>2</day><year>2021</year></publication_date><publication_date media_type="print"><month>3</month><day>2</day><year>2021</year></publication_date><journal_volume><volume>20</volume><doi_data><doi>10.37394/23206.2021.20</doi><resource>https://wseas.org/wseas/cms.action?id=23278</resource></doi_data></journal_volume></journal_issue><journal_article language="en"><titles><title>Complex Fuzzy Groups Based on Rosenfeld’s Approach</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>Eman A.</given_name><surname>Abuhijleh</surname><affiliation>Department of Basic Sciences, Al-Zarqa University College, Al-Balqa Applied University, JORDAN</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Mourad</given_name><surname>Massa’deh</surname><affiliation>Department of Applied Science, Ajloun College, Al-Balqa Applied University, JORDAN</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Amani</given_name><surname>Sheimat</surname><affiliation>Department of Basic Sciences and Mathematics Faculty of Sciences, Philadelphia University, JORDAN</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Abdulazeez</given_name><surname>Alkouri</surname><affiliation>Department of Mathematics, Science college Ajloun National University, JORDAN</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>Complex fuzzy sets (CFS) generalize traditional fuzzy sets (FS) since the membership functions of CFS reduces to the membership functions of FS. FS values are always at [0, 1], unlike CFS which has values in the unit disk of C. This paper merges notion and concept in group theory and presents the notion of a complex fuzzy subgroup of a group. This proposed idea represents a more general and better optional mathematical tool as one of the approaches in the fuzzy group. However, this research defines the notion of complex fuzzy subgroupiod, complex fuzzy normal subgroup, and complex fuzzy left(right) ideal. Therefore, the lattice, homomorphic preimage, and image of complex fuzzy subgroupiod and ideal are introduced and studied its properties. 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