Regular ag-groupoids characterized by (∈, ∈ ∨ q k)-fuzzy ideals
In this paper, we introduce a considerable machinery which permits us to characterize a number of special (fuzzy) subsets in AG -groupoids. Generalizing the concepts of (∈, ∈ ∨q) -fuzzy bi-ideals (interior ideal), we define (∈, ∈ ∨ q k) -fuzzy bi-ideals, (∈, ∈ ∨ q k )-fuzzy left (right)-ideals and (...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2012.
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| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 01435 am a22001693u 4500 | ||
|---|---|---|---|
| 001 | 47460 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Khan, A. |e author |
| 700 | 1 | 0 | |a Sarmin, N. H. |e author |
| 700 | 1 | 0 | |a Khan, F. M. |e author |
| 700 | 1 | 0 | |a Davvaz, B. |e author |
| 245 | 0 | 0 | |a Regular ag-groupoids characterized by (∈, ∈ ∨ q k)-fuzzy ideals |
| 260 | |c 2012. | ||
| 856 | |z Get fulltext |u http://eprints.utm.my/id/eprint/47460/1/NorHanizaSarmin2012_RegularAGgroupoidsCharacterized.pdf | ||
| 520 | |a In this paper, we introduce a considerable machinery which permits us to characterize a number of special (fuzzy) subsets in AG -groupoids. Generalizing the concepts of (∈, ∈ ∨q) -fuzzy bi-ideals (interior ideal), we define (∈, ∈ ∨ q k) -fuzzy bi-ideals, (∈, ∈ ∨ q k )-fuzzy left (right)-ideals and ( , ) k ? ? ?q -fuzzy interior ideals in AG -groupoids and discuss some fundamental aspects of these ideals in AG -groupoids. We further define ( ∈, ∈ ∨ q k) -fuzzy bi-ideals and (∈, ∈ ∨ q k)-fuzzy interior ideals and give some of their basic properties in AG -groupoids. In the last section, we define lower/upper parts of (∈, ∈ ∨ q k ) -fuzzy left (resp. right) ideals and investigate some characterizations of regular and intera-regular AG -groupoids in terms of the lower parts of ( ∈, ∈ ∨ q k ) -fuzzy left (resp. right) ideals and ( ∈, ∈ ∨ q k )-fuzzy bi-ideal of AG -groupoids. | ||
| 546 | |a en | ||
| 650 | 0 | 4 | |a T Technology |