## 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
Fuzzy maximal ideals of BCI and MV algebras
✍ Scribed by C.S. Hoo; S. Sessa
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 685 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0020-0255
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📜 SIMILAR VOLUMES
## Abstract Let __M__ be an MV‐algebra and Ω~__M__~ be the set of all __σ__ ‐valuations from __M__ into the MV‐unit interval. This paper focuses on the characterization of MV‐algebras using __σ__ ‐valuations of MV‐algebras and proves that a __σ__ ‐complete MV‐algebra is __σ__ ‐regular, which means
In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of MV-algebras devised by Filipoiu and Georgescu ([18]) and by Dubuc and Poveda ([16]). Following Davey app
## 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