Abstract
We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 149-176 |
| Number of pages | 28 |
| Journal | International Journal of Mathematics and Computer Science |
| Volume | 14 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2019 |
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Keywords
- Complex multi-fuzzy set
- Decision making
- Fuzzy soft expert set
- Multi-fuzzy 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
Complex multi-fuzzy soft expert set and its application. / Al-Qudah, Yousef; Hassan, Nasruddin.
In: International Journal of Mathematics and Computer Science, Vol. 14, No. 1, 01.01.2019, p. 149-176.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Complex multi-fuzzy soft expert set and its application
AU - Al-Qudah, Yousef
AU - Hassan, Nasruddin
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.
AB - We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.
KW - Complex multi-fuzzy set
KW - Decision making
KW - Fuzzy soft expert set
KW - Multi-fuzzy set
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M3 - Article
VL - 14
SP - 149
EP - 176
JO - International Journal of Mathematics and Computer Science
JF - International Journal of Mathematics and Computer Science
SN - 1814-0424
IS - 1
ER -