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- Title
CARTESIAN PRODUCT OF INTERVAL-VALUED FUZZY IDEALS IN ORDERED SEMIGROUP.
- Authors
KHAN, HIDAYAT ULLAH; KHAN, ASGHAR; SARMIN, NOR HANIZA
- Abstract
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 purport 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.
- Subjects
ANALYTIC geometry; FUZZY sets; SET theory
- Publication
Journal of Prime Research in Mathematics, 2016, Vol 12, p120
- ISSN
1817-3462
- Publication type
Article