𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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


New types of hyper MV-deductive systems
✍ Young Bae Jun; Min Su Kang; Hee Sik Kim 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 84 KB

## 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

Hyper MV -ideals in hyper MV -algebras
✍ Lida Torkzadeh; Afsaneh Ahadpanah 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB

## 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

On the category of hyper MV-algebras
✍ Shokoofeh Ghorbani; Esfandiar Eslami; Abbas Hasankhani 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## 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