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Fuzzy Algebraic Hyperstructures - An Introduction (Hardcover, 2015 ed.)
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Fuzzy Algebraic Hyperstructures - An Introduction (Hardcover, 2015 ed.)
Series: Studies in Fuzziness and Soft Computing, 321
Expected to ship within 12 - 17 working days
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This book is intended as an introduction to fuzzy algebraic
hyperstructures. As the first in its genre, it includes a number of
topics, most of which reflect the authors' past research and thus
provides a starting point for future research directions. The book
is organized in five chapters. The first chapter introduces readers
to the basic notions of algebraic structures and hyperstructures.
The second covers fuzzy sets, fuzzy groups and fuzzy polygroups.
The following two chapters are concerned with the theory of fuzzy
Hv-structures: while the third chapter presents the concept of
fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of
fuzzy Hv-ideals of Hv-rings. The final chapter discusses several
connections between hypergroups and fuzzy sets, and includes a
study on the association between hypergroupoids and fuzzy sets
endowed with two membership functions. In addition to providing a
reference guide to researchers, the book is also intended as
textbook for undergraduate and graduate students.
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