
Fuzzy Lie Algebras
Muhammad Akram(Author)
Springer (Publisher)
Published on 14. January 2019
Book
Hardback
XIX, 302 pages
978-981-13-3220-3 (ISBN)
Description
This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists.
Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.
More details
Product info
Book
Series
Edition
2018
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
4 farbige Abbildungen, 10 s/w Abbildungen
7 schwarz-weiße und 4 farbige Abbildungen, Bibliographie
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 22 mm
Weight
711 gr
ISBN-13
978-981-13-3220-3 (9789811332203)
DOI
10.1007/978-981-13-3221-0
Schweitzer Classification
Other editions
Additional editions

Person
MUHAMMAD AKRAM is a Professor at the Department of Mathematics, University of the Punjab, Pakistan. He earned his PhD in fuzzy mathematics from the Government College University, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published five monographs and over 265 research articles in international peer-reviewed journals.
Content
¿Chapter 1. Fuzzy Lie Structures.- Chapter 2. Interval-valued Fuzzy Lie Structures.- Chapter 3. Intuitionistic Fuzzy Lie Ideals.- Chapter 4. Generalized Fuzzy Lie Subalgebras.- Chapter 5. Fuzzy Lie Structures over a Fuzzy Field.- Chapter 6. Bipolar Fuzzy Lie Structures.- Chapter 7. m-Polar Fuzzy Lie Ideals of Lie Algebras.- Chapter 8. Fuzzy Soft Lie algebras.- Chapter 9. Rough Fuzzy Lie Ideals.- Chapter 10. Fuzzy n-Lie Algebras.