TY  - BOOK
AU  - Davvaz,Bijan
AU  - Cristea,Irina
TI  - Fuzzy Algebraic Hyperstructures: An Introduction
T2  - Studies in Fuzziness and Soft Computing Series
SN  - 9783319147628
AV  - Q342 
U1  - 512.2 
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing AG
KW  - Fuzzy sets
KW  - Electronic books
N1  - Intro -- Preface -- Contents -- Fundamentals of Algebraic (Hyper)Structures -- 1.1 Groups -- 1.2 Rings -- 1.3 Polygroups -- 1.4 Hypergroups -- 1.5 Hyperrings -- 1.6 Hv-Structures -- Fuzzy Polygroups -- 2.1 What Fuzzy Sets Are? -- 2.2 Groups and Fuzzy Subgroups -- 2.3 Polygroups and Fuzzy Subpolygroups -- 2.4 Generalized Fuzzy Subpolygroups -- 2.5 Roughness in Polygroups -- 2.6 F-Polygroups -- Fuzzy Hv-Subgroups of Hv-Groups -- 3.1 Fuzzy Hv-Subgroups and Fuzzy Homomorphisms -- 3.2 Generalized Fuzzy Hv-Subgroups -- 3.3 Intuitionistic Fuzzy Hv-Subgroups -- 3.4 T-Product of Fuzzy Hv-Subgroups -- 3.5 Probabilistic Fuzzy Semihypergroups -- 3.6 F-Hypergroups -- Hv-Rings (Hyperrings) and Hv-Ideals -- 4.1 Fuzzy Hv-Ideals -- 4.2 Generalized Fuzzy Hv-Ideals -- 4.3 Interval-Valued Fuzzy Hv-Ideals -- 4.4 Fuzzy Hyperrings -- Connections between Hypergroups and Fuzzy Sets -- 5.1 Join Spaces and Fuzzy Sets -- 5.1.1 Constructions Using Fuzzy Sets -- 5.1.2 Generalizations to L-Fuzzy Sets -- 5.2 L-Fuzzy Join Spaces -- 5.3 Fuzzy Grade of a Hypergroupoid -- 5.3.1 The Main Construction -- 5.3.2 Intuitionistic Fuzzy Grade of a Hypergroupoid -- 5.3.3 Some Examples: Complete Hypergroups and i.p.s. Hypergroups -- 5.3.4 Extensions to Hypergraphs -- 5.4 Hypergroupoids and Fuzzy Sets Endowed with Two Membership Functions -- Bibliography -- Index
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6296547
ER  -