𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New types of fuzzy filters of -algebras

✍ Scribed by Yunqiang Yin; Jianming Zhan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
378 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Ξ², Ξ±)-fuzzy (implicative, positive implicative, fantastic) filters a b s t r a c t This paper introduces the concepts of (Ξ±, Ξ²)-fuzzy (implicative, positive implicative, fantastic) filters and (Ξ², Ξ±)-fuzzy (implicative, positive implicative, fantastic) filters of BLalgebras, where Ξ±

and some related properties are investigated. Special attention is paid to (∈ γ , ∈ γ ∨ q δ )-fuzzy (implicative, positive implicative, fantastic) filters and (∈ γ , ∈ γ ∨ q δ )-fuzzy (implicative, positive implicative, fantastic) filters which are generalizations of (∈, ∈ ∨q)-fuzzy (implicative, positive implicative, fantastic) filters and (∈, ∈ ∨ q)-fuzzy (implicative, positive implicative, fantastic) filters studied in Ma et al.

πŸ“œ SIMILAR VOLUMES

Some types of generalized fuzzy filters
Some types of generalized fuzzy filters of -algebras
✍ Jianming Zhan; Yang Xu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 361 KB

The aim of this paper is to introduce the notions of interval valued (∈, ∈ ∨q)-fuzzy Boolean (implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, the relati

New types of fuzzy ideals in BCK/BCI-alg
New types of fuzzy ideals in BCK/BCI-algebras
✍ Young Bae Jun; Kyoung Ja Lee; Chul Hwan Park πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 402 KB

∈, ∈ ∨ q k )-fuzzy ideal Fuzzy ideal with thresholds Fuzzifying ideal t-implication-based fuzzy ideal a b s t r a c t A generalization of an (∈, ∈ ∨q)-fuzzy ideal of a BCK/BCI-algebra is discussed. Characterizations of an (∈, ∈ ∨q k )-fuzzy ideal and an (∈, ∈∨q k )-fuzzy ideal are provided. Conditio

Some kinds of -fuzzy filters of -algebra
Some kinds of -fuzzy filters of -algebras
✍ Xueling Ma; Jianming Zhan; WiesΕ‚aw A. Dudek πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 632 KB

∈, ∈ ∨q)-fuzzy (implicative, positive implicative, fantastic) filter (∈, ∈ ∨ q)-fuzzy (implicative, positive implicative, fantastic) filter Fuzzy (implicative, positive implicative, fantastic) filter with thresholds a b s t r a c t The concepts of (∈, ∈ ∨ q)-fuzzy (implicative, positive implicative

On (∈, ∈ ∨ q)-fuzzy filters of R0-algebr
On (∈, ∈ ∨ q)-fuzzy filters of R0-algebras
✍ Xueling Ma; Jianming Zhan; Young B. Jun πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 196 KB

## Abstract In this paper, we introduce the notions of (∈, ∈ ∨ q)‐fuzzy filters and (∈, ∈ ∨ q)‐fuzzy Boolean (implicative) filters in __R__~0~‐algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we

Radical of filters in BL-algebras
Radical of filters in BL-algebras
✍ Somayeh Motamed; Lida Torkzadeh; Arsham Borumand Saeid; Neda Mohtashamnia πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 138 KB

In this paper, the notion of the radical of a filter in BL-algebras is defined and several characterizations of the radical of a filter are given. Also we prove that A/F is an M V -algebra if and only if Ds (A) βŠ† F . After that we define the notion of semi maximal filter in BL-algebras and we state