## Abstract The notions of a (weak) hyper MV‐deductive system, a (⊆, ⊆; ⊆)‐hyper MV‐deductive system, a (≪, ⊆; ⊆)‐ hyper MV‐deductive system, a (≪, ≪; ⊆)‐hyper MV‐deductive system, a (≪, ≪; ≪)‐hyper MV‐deductive system and a (∩, ∩; ∩)‐hyper MV‐deductive system are introduced, and then their relatio
Fuzzy structures of hyper-MV-deductive systems in hyper-MV-algebras
✍ Scribed by Young Bae Jun; Min Su Kang; Hee Sik Kim
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 273 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
The notions of fuzzy hyper-MV-subalgebras, (weak, strong) fuzzy hyper-MV-deductive systems and previously weak fuzzy hyper-MV-deductive systems are introduced, and their relations/properties are investigated.
📜 SIMILAR VOLUMES
## Abstract In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper __MV__ ‐algebra and we obtain some related results. After that by considering the notions ofhyper __MV__ ‐ideals and weak hyper __MV__ ‐ideals, we prove some theorems. Then we determine relationships between (weak) hyper
## Abstract In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorph