Cartesian product of interval-valued fuzzy ideals in ordered semigroup
Interval-valued fuzzy set theory is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory. In this paper, the concepts of interval-valued fuzzy (prime, semiprime) ideal and the Cartesian product of interval-valued fuzzy subsets have been intr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Abdus Salam School of Mathematical Sciences
2016
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/68243/ http://www.scopus.com |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Teknologi Malaysia |
| Summary: | Interval-valued fuzzy set theory is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory. In this paper, the concepts of interval-valued fuzzy (prime, semiprime) ideal and the Cartesian product of interval-valued fuzzy subsets have been introduced. Some interesting results about Cartesian product of interval-valued fuzzy ideals, interval-valued fuzzy prime ideals, interval- valued fuzzy semiprime ideals, interval-valued fuzzy bi-ideals and interval- valued fuzzy interior ideals in ordered semigroups are obtained. The pur- port of this paper is to link ordinary ideals with interval-valued fuzzy ideals by means of level subset of Cartesian product of interval-valued fuzzy sub- sets. |
|---|