Set Linear Algebra and Set Fuzzy Linear Algebra by V. Kandasamy, F. Smarandache
Set Linear Algebra and Set Fuzzy Linear Algebra - Table of Contents
- 1. Basic Concepts of Set Linear Algebra
- 2. Set Vector Spaces and Properties
- 3. Set Fuzzy Linear Algebras & Generalizations
- 4. Set Bivector Spaces and Generalizations
- 5. Set n-Vector Spaces and Generalizations
- 6. Set Fuzzy Linear Bialgebras & Generalizations
What You Will Learn in Set Linear Algebra and Set Fuzzy Linear Algebra
Set Linear Algebra and Set Fuzzy Linear Algebra by W. B. Vasantha Kandasamy and Florentin Smarandache is an authoritative, open-access mathematical monograph published by InfoLearnQuest that establishes foundational algebraic frameworks for set-theoretic linear structures and fuzzy system extensions. This pioneering volume guides readers through basic set algebraic concepts, set vector spaces, fuzzy set vector spaces, set fuzzy linear algebras, set bivector spaces, set n-vector spaces, and set fuzzy bialgebras with their multi-structural generalizations with exceptional clarity and mathematical rigor.
Designed for research algebraists, pure mathematicians, fuzzy logic theorists, computer scientists, and graduate students, this foundational text bridges classical vector spaces with set-defined algebraic operators. Kandasamy and Smarandache detail step-by-step constructions of set linear transformations, set sub-vector spaces, fuzzy set membership representations, multi-set bispaces, and n-set algebraic spaces. Whether you are investigating non-classical linear structures, researching fuzzy algebraic models, or generalizing multi-set vector systems, this book offers an indispensable roadmap.
Recognized globally as a landmark work in set-theoretic linear algebra, it stands as one of the best reference handbooks on set vector spaces and fuzzy linear systems. By connecting abstract set operations directly to fuzzy algebraic multi-spaces, it serves as an essential tool for mastering set linear algebra and set fuzzy linear algebra with confidence.
Book Details & Specifications
Title:
Set Linear Algebra and Set Fuzzy Linear Algebra by V. Kandasamy, F. Smarandache
Publisher:
InfoLearnQuest
Year:
2008
Pages:
345
Type:
PDF
Language:
English
ISBN-10 #:
1599730294
ISBN-13 #:
9781599730295
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Dr W.B.Vasantha Kandasamy
The author Dr W.B.Vasantha Kandasamy
is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai. In the past decade she has guided 11 Ph.D. scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, four Ph.D. scholars are working under her guidance. She has to her credit 636 research papers. She has guided over 51 M.Sc. and M.Tech. projects. She has worked in collaboration projects with the Indian Space Research Organization and with the Tamil Nadu State AIDS Control Society. This is her 29th book. On India's 60th Independence Day, Dr.Vasantha was conferred the Kalpana Chawla Award for Courage and Daring Enterprise by the State Government of Tamil Nadu in recognition of her sustained fight for social justice in the Indian Institute of Technology (IIT) Madras and for her contribution to mathematics. (The award, instituted in the memory of Indian-American astronaut Kalpana Chawla who died aboard Space Shuttle Columbia). The award carried a cash prize of five lakh rupees (the highest prize-money for any Indian award) and a gold medal.
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