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On Interval-Valued Fuzzy on Ideal Sets.
- Source :
-
European Journal of Pure & Applied Mathematics . 2019, Vol. 12 Issue 2, p553-570. 18p. - Publication Year :
- 2019
-
Abstract
- Fuzzy sets, formalized by Zadeh in 1965, generalizes the classical idea of sets. The idea itself was generalized in 1975 when Zadeh introduced the interval-valued fuzzy sets. In this paper, we generalize further the above concepts by introducing interval-valued fuzzy on ideal sets, where an ideal is a nonempty collection of sets with a property describing the notion of smallness. We develop its basic concepts and properties and consider how one can create mappings of interval-valued fuzzy on ideal sets from mappings of ordinary sets. We then consider topology and continuity with respect to these sets. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUZZY sets
*FUZZY arithmetic
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 13075543
- Volume :
- 12
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- European Journal of Pure & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 136169122
- Full Text :
- https://doi.org/10.29020/nybg.ejpam.v12i2.3418