Cubic Set Structure and Its Applications
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 5527
Special Issue Editor
Interests: BCK/BCI algebras and related systems; fuzzy algebraic structures; soft and rough set theory in algebraic structures; fuzzy hyper structures; cubic algebraic structures
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Special Issue Information
Dear Colleagues,
Fuzzy set theory was initiated by L. A. Zadeh in 1965, and fuzzy sets and some generalizations have been considered in a variety of fields. Fuzzy sets are somewhat similar to sets whose elements have degrees of membership. In classical set theory, the membership of elements in a set is assessed in binary terms according to a bivalent condition—an element either belongs or does not belong to the set. In contrast, fuzzy set theory enables the gradual assessment of the membership of elements in a set; this is described with the aid of a membership function valued in the real unit interval [0, 1]. Fuzzy sets generalize classical sets, because the indicator functions of classical sets are special cases of the membership functions of fuzzy sets, if the latter only take values of “0” or “1”. In fuzzy set theory, classical bivalent sets are usually called crisp sets. Fuzzy sets greatly contribute to solving several problems involving uncertainty. Problems involving uncertainty appear in various forms; therefore, hybrid structures are emerging at a time when it is necessary to develop tools to solve them. At this point, Y.B. Jun et al. implemented a cubic set, which is a combination of a fuzzy set with an interval-valued fuzzy set.
The aim of this Special Issue is to establish a collection of high-quality and original theoretical and applied research papers on “Cubic Set Structure and Its Applications”.
Potential topics include, but are not limited to:
- Cubic sets;
- Cubic relations;
- Cubic bipolar sets;
- Cubic hesitant fuzzy sets;
- Cubic picture fuzzy sets;
- Cubic Pythagorean fuzzy sets;
- Cubic vague sets;
- Cubic graphs;
- Cubic soft sets;
- Cubic rough sets;
- Crossing cubic structures;
- Cubic algebraic structures;
- Cubic hyper structures;
- Cubic topological spaces;
- N-cubic sets;
- Neutrosophic cubic set;
- Plithogenic cubic sets;
- Spherical cubic sets;
- Generalization of cubic sets;
- Applications of cubic sets.
Prof. Dr. Young Bae Jun
Guest Editor
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