E-VAGUE POSITIVE CLASS

Soylu G.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.17, no.1, pp.137-146, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1142/s0218488509005760
  • Journal Name: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.137-146
  • Keywords: Fuzzy similarity relations, fuzzy orderings, fuzzy strict orderings, positive class, VALUED EQUIVALENCE-RELATIONS, FUZZY ORDERINGS, SIMILARITY RELATIONS, PARTITIONS, SETS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper the concept of similarity based vague positive class is introduced. It is shown that under some conditions there exists a one to one correspondence between the vague positive class and the linear fuzzy strict ordering as in the classical theory. Finally a purely similarity-based construction of the vague positive class is proposed.