### Abstract

Molodtsov introduced the concept of the soft set as a general mathematical tool for dealing with uncertainty. We intend to further this foray into fuzzy sets and soft sets by introducing the concepts of Q-cubic set and a Q-cubic soft multiset and their basic operations, namely complement, union, intersection, OR and AND operations along with illustrative examples. Basic theorems on the operations of Q-cubic soft multi set are also given.

Original language | English |
---|---|

Pages (from-to) | 103-119 |

Number of pages | 17 |

Journal | International Journal of Mathematics and Computer Science |

Volume | 14 |

Issue number | 1 |

Publication status | Published - 1 Jan 2019 |

### Fingerprint

### Keywords

- Q-cubic set
- Q-cubic soft multiset
- Soft multiset
- Soft set

### ASJC Scopus subject areas

- Computer Science (miscellaneous)
- Algebra and Number Theory
- Statistics and Probability
- Numerical Analysis
- Modelling and Simulation
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics

### Cite this

*International Journal of Mathematics and Computer Science*,

*14*(1), 103-119.

**Q-Cubic soft multiset theory.** / Adam, Fatma; Hassan, Nasruddin.

Research output: Contribution to journal › Article

*International Journal of Mathematics and Computer Science*, vol. 14, no. 1, pp. 103-119.

}

TY - JOUR

T1 - Q-Cubic soft multiset theory

AU - Adam, Fatma

AU - Hassan, Nasruddin

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Molodtsov introduced the concept of the soft set as a general mathematical tool for dealing with uncertainty. We intend to further this foray into fuzzy sets and soft sets by introducing the concepts of Q-cubic set and a Q-cubic soft multiset and their basic operations, namely complement, union, intersection, OR and AND operations along with illustrative examples. Basic theorems on the operations of Q-cubic soft multi set are also given.

AB - Molodtsov introduced the concept of the soft set as a general mathematical tool for dealing with uncertainty. We intend to further this foray into fuzzy sets and soft sets by introducing the concepts of Q-cubic set and a Q-cubic soft multiset and their basic operations, namely complement, union, intersection, OR and AND operations along with illustrative examples. Basic theorems on the operations of Q-cubic soft multi set are also given.

KW - Q-cubic set

KW - Q-cubic soft multiset

KW - Soft multiset

KW - Soft set

UR - http://www.scopus.com/inward/record.url?scp=85059634117&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059634117&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85059634117

VL - 14

SP - 103

EP - 119

JO - International Journal of Mathematics and Computer Science

JF - International Journal of Mathematics and Computer Science

SN - 1814-0424

IS - 1

ER -