Infosys Science Foundation Series in Mathematical Sciences

Fuzzy Lie Algebras

Authors: Akram, Muhammad

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  • Provides a crisp review of fuzzy set theory, Lie algebras, and Lie superalgebras 
      
    Presents the properties of interval-valued fuzzy Lie ideals, Noetherian Lie algebras, quotient Lie algebras, and interval-valued fuzzy Lie superalgebras 
      
    Characterizes the Artinian and Noetherian Lie algebras by considering their fuzzy Lie ideals over a fuzzy field 
      
    Discusses the concepts of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals 

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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-981-13-3221-0
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Hardcover $109.99
price for USA in USD
  • ISBN 978-981-13-3220-3
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  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

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.

Table of contents (10 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-981-13-3221-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-981-13-3220-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Lie Algebras
Authors
Series Title
Infosys Science Foundation Series in Mathematical Sciences
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-3221-0
DOI
10.1007/978-981-13-3221-0
Hardcover ISBN
978-981-13-3220-3
Series ISSN
2364-4036
Edition Number
1
Number of Pages
XIX, 302
Number of Illustrations
10 b/w illustrations, 4 illustrations in colour
Topics