On Interval-Valued Fuzzy on Ideal Sets

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3418

Keywords:

Fuzzy sets, interval-valued, ideal

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.

Author Biographies

  • Mary Joy S. Togonon, Bukidnon State University-Baungon Satellite Campus, Bukidnon, Philippines
    An Instructor of the Department of Mathematics of Bukidnon State University-Baungon Satellite Campus
  • Randy L. Caga-anan, MSU- Iligan Institute of Technology
    An Associate Professor of the Department of Mathematics and Statistics of MSU- Iligan Institute of Technology

Downloads

Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

Section

Algebra

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On Interval-Valued Fuzzy on Ideal Sets. (2019). European Journal of Pure and Applied Mathematics, 12(2), 553-570. https://doi.org/10.29020/nybg.ejpam.v12i2.3418