On some algebraic aspects of η-intuitionistic fuzzy subgroups

In this study, we presents the idea of -intuitionistic fuzzy subgroup (IFSG) defined on -intuitionistic fuzzy set (IFS). Furthermore, we prove that every IFSG is an -IFSG. Also, we extend the study of this notion to define -intuitionistic fuzzy cosets and -intuitionistic fuzzy normal subgroups of a...

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Bibliographic Details
Published in:	Journal of Taibah University for Science Vol. 14; no. 1; pp. 463 - 469
Main Authors:	Shuaib, Umer, Alolaiyan, Hanan, Razaq, Abdul, Dilbar, Saba, Tahir, Fatima
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 01-01-2020 Taylor & Francis Group
Subjects:	eta $-intuitionistic fuzzy cosets eta $-intuitionistic fuzzy homomorphism eta $-intuitionistic fuzzy normal subgroups eta $-intuitionistic fuzzy sets eta $-intuitionistic fuzzy subgroups intuitionistic fuzzy cosets intuitionistic fuzzy homomorphism intuitionistic fuzzy normal subgroups intuitionistic fuzzy sets intuitionistic fuzzy subgroups
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Summary:	In this study, we presents the idea of -intuitionistic fuzzy subgroup (IFSG) defined on -intuitionistic fuzzy set (IFS). Furthermore, we prove that every IFSG is an -IFSG. Also, we extend the study of this notion to define -intuitionistic fuzzy cosets and -intuitionistic fuzzy normal subgroups of a given group and investigate some of their fundamental algebraic features. Besides, we define the -intuitionistic fuzzy homomorphism between two -IFSG's and show that an -intuitionistic fuzzy homomorphic image (inverse image) of the -IFSG is an -IFSG.
ISSN:	1658-3655 1658-3655
DOI:	10.1080/16583655.2020.1745491