Academic Journal
On Optimizing Neutrosophic Complex Programming Using Lexicographic Order
| العنوان: | On Optimizing Neutrosophic Complex Programming Using Lexicographic Order |
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| المؤلفون: | Hamiden Abd El- Wahed Khalifaand, Pavan Kumar, Florentin Smarandache |
| المصدر: | Neutrosophic Sets and Systems, Vol 32, Pp 330-343 (2020) |
| بيانات النشر: | University of New Mexico, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Mathematics LCC:Electronic computers. Computer science |
| مصطلحات موضوعية: | complex programming, neutrosophic numbers, score function, lexicographic order, lingo software, kuhn- tucker conditions, neutrosophic optimal solution., Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95 |
| الوصف: | Neutrosophic sets are considered as a generalization of the crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. This paper aims to characterize the solution of complex programming (CP) problem with imprecise data instead of its prices information. The neutrosophic complex programming (NCP) problem is considered by incorporating single valued trapezoidal neutrosophic numbers in all the parameters of objective function and constraints. The score function corresponding to the neutrosophic number is used to transform the problem into the corresponding crisp CP. Here, lexicographic order is applied for the comparison between any two complex numbers. The comparison is developed between the real and imaginary parts separately. Through this manner, the CP problem is divided into two real sub-problems. In the last, a numerical example is solved for the illustration that shows the applicability of the proposed approach. The advantage of this approach is more flexible and makes a real-world situation more realistic. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2331-6055 2331-608X |
| Relation: | http://fs.unm.edu/NSS/OnOptimizingNeutrosophic20.pdf; https://doaj.org/toc/2331-6055; https://doaj.org/toc/2331-608X |
| DOI: | 10.5281/zenodo.3723173 |
| URL الوصول: | https://doaj.org/article/735dd271f72e4472b7dac8fa7023e3c9 |
| رقم الانضمام: | edsdoj.735dd271f72e4472b7dac8fa7023e3c9 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 23316055 2331608X |
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| DOI: | 10.5281/zenodo.3723173 |