Detailed Information
Cited 1 time in 
Cited 1 time in 
Cited 1 time in
Metadata Downloads
Distances between hyper structures and length fuzzy ideals of BCK / BCI-algebras based on hyper structures
- Authors
- Jun, Young Bae; Song, Seok-Zun; Kim, Seon Jeong
- Issue Date
- 2018
- Publisher
- IOS PRESS
- Keywords
- Hyperfuzzy set; hyperfuzzy subalgebra; length of hyperfuzzy set; length fuzzy subalgebra; length fuzzy ideal; (normalized) Hamming distance; (normalized) Euclidean distance
- Citation
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v.35, no.2, pp 2257 - 2268
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
- Volume
- 35
- Number
- 2
- Start Page
- 2257
- End Page
- 2268
- ISSN
- 1064-1246
1875-8967
- Abstract
- As a foundation to study the similarity measure with applications in pattern recognition, (normalized) Hamming distances and (normalized) Euclidean distances between hyper structures based on two and three parameters are established. An example to show that these distances are not metrics in general is provided, and conditions for these distances to be metrics are considered. The notions of length fuzzy ideals with four types are introduced, and related properties and their relations are investigated. Relations between length fuzzy ideals and length fuzzy subalgebras are investigated. Conditions for a length fuzzy subalgebra to be a length fuzzy ideal are provided. Characterizations of a length fuzzy ideal are considered.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 자연과학대학 > 수학과 > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.