On operations and order relations between fuzzy values

Citation
Qh. Chen et S. Kawase, On operations and order relations between fuzzy values, FUZ SET SYS, 108(3), 1999, pp. 313-324
Citations number
6
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
108
Issue
3
Year of publication
1999
Pages
313 - 324
Database
ISI
SICI code
0165-0114(199912)108:3<313:OOAORB>2.0.ZU;2-B
Abstract
Fuzzy value is a fuzzy set on the interval [0, 1], alpha-cuts of which are closed intervals. In this note we define several operations of Fuzzy values , which will be useful in diverse fields of both theoretical and applicativ e aspects. Further we introduce two kinds of order relations between fuzzy values, and investigate on the least upper bound and the greatest lower bou nd with respect to these orders. (C) 1999 Elsevier Science B.V. All rights reserved.