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| Author | : Abdel-Nasser Hussian |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : |
| ISBN | : |
Smarandache presented neutrosophic theory as a tool for handling undetermined information. Wang et al. introduced a single valued neutrosophic set that is a special neutrosophic sets and can be used expediently to deal with real-world problems, especially in decision support.
| Author | : Mohamed Abdel-Basset |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
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The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its implicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree).
| Author | : Mai Mohamed |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
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| ISBN | : |
In this chapter, a solution procedure is proposed to solve neutrosophic linear fractional programming (NLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular neutrosophic numbers.
| Author | : Abdel-Nasser Hussian |
| Publisher | : Infinite Study |
| Total Pages | : 6 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Smarandache presented neutrosophic theory as a tool for handling undetermined information, and together with Wang et al. introduced single valued neutrosophic sets that is a special neutrosophic set and can be used expediently to deal with real-world problems, especially in decision support. In this paper, we propose linear programming problems based on neutrosophic environment. Neutrosophic sets characterized by three independent parameters, namely truth-membership degree (T), indeterminacy-membership degree (I) and falsity-membership degree (F), which is more capable to handle imprecise parameters. We also transform the neutrosophic linear programming problem into a crisp programming model by using neutrosophic set parameters. To measure the efficiency of our proposed model we solved several numerical examples.
| Author | : Amir Hossein Nafei |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Because of uncertainty in the real-world problems, achieving to the optimal solution is always time consuming and even sometimes impossible. In order to overcome this drawback the neutrosophic sets theory which is a generalization of the fuzzy sets theory is presented that can handle not only incomplete information but also indeterminate and inconsistent information which is common in real-world situations.
| Author | : Mai Mohamed |
| Publisher | : Infinite Study |
| Total Pages | : 19 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, a solution procedure is proposed to solve neutrosophic linear Fractional Programming Problem.
| Author | : Mohamed Abdel-Baset |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
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| Genre | : |
| ISBN | : |
In this chapter, we introduce the integer programming in neutrosophic environment, by considering coefficients of problem as a triangular neutrosophic numbers
| Author | : Abdel-Nasser Hussian |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : |
| ISBN | : |
Smarandache presented neutrosophic theory as a tool for handling undetermined information. Wang et al. introduced a single valued neutrosophic set that is a special neutrosophic sets and can be used expediently to deal with real-world problems, especially in decision support.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The paper presents a novel strategy for solving bi-level linear programming problem based on goal programming in neutrosophic numbers environment. Bi-level linear programming problem comprises of two levels namely upper or first level and lower or second level with one objective at each level. The objective function of each level decision maker and the system constraints are considered as linear functions with neutrosophic numbers of the form [p + q I], where p, q are real numbers and I represents indeterminacy.
| Author | : Hamiden Abd El-Wahed Khalifa |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems. In this paper, a neutrosophic linear programming (NLP) problem with single-valued trapezoidal neutrosophic numbers is formulated and solved. A new method based on the so-called score function to find the neutrosophic optimal solution of fully neutrosophic linear programming (FNLP) problem is proposed.
