TY - BOOK ID - 4864070 TI - Fuzzy Algebraic Hyperstructures : An Introduction AU - Davvaz, Bijan. AU - Cristea, Irina. PY - 2015 SN - 9783319147628 3319147617 9783319147611 3319147625 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Engineering. KW - Computational Intelligence. KW - General Algebraic Systems. KW - Symbolic and Algebraic Manipulation. KW - Algebra KW - Algebra. KW - Ingénierie KW - Algèbre KW - Data processing. KW - Informatique KW - Engineering & Applied Sciences KW - Computer Science KW - Computer science KW - Computational intelligence. KW - Mathematics. KW - Intelligence, Computational KW - Artificial intelligence KW - Soft computing KW - Mathematics KW - Mathematical analysis KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Construction KW - Industrial arts KW - Technology KW - Computer science—Mathematics. KW - Fuzzy sets. KW - Sets, Fuzzy KW - Fuzzy mathematics KW - Set theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:4864070 AB - 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. ER -