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Neutrosophic Linear Programming Problems
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Book Synopsis Neutrosophic Linear Programming Problems by : Abdel-Nasser Hussian
Download or read book Neutrosophic Linear Programming Problems written by Abdel-Nasser Hussian and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A novel method for solving the fully neutrosophic linear programming problems by : Mohamed Abdel-Basset
Download or read book A novel method for solving the fully neutrosophic linear programming problems written by Mohamed Abdel-Basset and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity 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). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.
Book Synopsis A novel method for solving the fully neutrosophic linear programming problems by : Mohamed Abdel-Basset
Download or read book A novel method for solving the fully neutrosophic linear programming problems written by Mohamed Abdel-Basset and published by Infinite Study. This book was released on 2018-02-24 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity 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). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.
Book Synopsis Neutrosophic Linear Programming Problem by : Abdel-Nasser Hussian
Download or read book Neutrosophic Linear Programming Problem written by Abdel-Nasser Hussian and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Neutrosophic Linear Fractional Programming Problems by : Abdel-Nasser Hussian
Download or read book Neutrosophic Linear Fractional Programming Problems written by Abdel-Nasser Hussian and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A New Method for Solving Interval Neutrosophic Linear Programming Problems by : Amir Hossein Nafei
Download or read book A New Method for Solving Interval Neutrosophic Linear Programming Problems written by Amir Hossein Nafei and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Neutrosophic Linear Fractional Programming Problem by : Mai Mohamed
Download or read book Neutrosophic Linear Fractional Programming Problem written by Mai Mohamed and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, a solution procedure is proposed to solve neutrosophic linear Fractional Programming Problem.
Book Synopsis An Optimized Method for Solving Membership-based Neutrosophic Linear Programming Problems by : Amirhossein Nafei
Download or read book An Optimized Method for Solving Membership-based Neutrosophic Linear Programming Problems written by Amirhossein Nafei and published by Infinite Study. This book was released on 2023-01-01 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Programming (LP) is an essential approach in mathematical programming because it is a viable technique used for addressing linear systems involving linear parameters and continuous constraints. The most important use of LP resides in solving the issues requiring resource management. Because many real-world issues are too complicated to be accurately characterized, indeterminacy is often present in every engineering planning process. Neutrosophic logic, which is an application of intuitionistic fuzzy sets, is a useful logic for dealing with indeterminacy. Neutrosophic Linear Programming (NLP) issues are essential in neutrosophic modelling because they may express uncertainty in the physical universe. Numerous techniques have been proposed to alleviate NLP difficulties. On the surface, the current approaches in the specialized literature are unable to tackle issues with non-deterministic variables. In other words, no method for solving a truly neutrosophic problem has been offered. For the first time, a unique approach is provided for tackling Fully Neutrosophic Linear Programming (FNLP) problems in this study. The proposed study uses a decomposition method to break the FNLP problem into three separate bounded problems. Then, these problems are solved using simplex techniques. Unlike other existing methods, the proposed method can solve NLP problems with neutrosophic values for variables. In this research, the decision-makers have the freedom to consider the variables with neutrosophic structure, while obtaining the optimal objective value as a crisp number. It should also be noted that the typical NLP problems, which can be solved by means of the existing methods, can also be solved through the method proposed in this paper.
Book Synopsis Neutrosophic Integer Programming Problems by : Mohamed Abdel-Baset
Download or read book Neutrosophic Integer Programming Problems written by Mohamed Abdel-Baset and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, we introduce the integer programming in neutrosophic environment, by considering coefficients of problem as a triangular neutrosophic numbers
Book Synopsis Comment on "A Novel Method for Solving the Fully Neutrosophic Linear Programming Problems: Suggested Modifications" by : Mohamed Abdel-Basset
Download or read book Comment on "A Novel Method for Solving the Fully Neutrosophic Linear Programming Problems: Suggested Modifications" written by Mohamed Abdel-Basset and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some clarifications of a previous paper with the same title are presented here to avoid any reading conflict [1]. Also, corrections of some typo errors are underlined. Each modification is explained with details for making the reader able to understand the main concept of the paper. Also, some suggested modifications advanced by Singh et al. [3] (Journal of Intelligent & Fuzzy Systems, 2019, DOI:10.3233/JIFS-181541) are discussed. It is observed that Singh et al. [3] have constructed their modifications on several mathematically incorrect assumptions. Consequently, the reader must consider only the modifications which are presented in this research.
Book Synopsis Bi-level Linear Programming Problem with Neutrosophic Numbers by : Surapati Pramanik
Download or read book Bi-level Linear Programming Problem with Neutrosophic Numbers written by Surapati Pramanik and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A new approach for solving neutrosophic integer programming problems by : A. H. Nafei
Download or read book A new approach for solving neutrosophic integer programming problems written by A. H. Nafei and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming is one of the most important usages of operation research methods in real life, that includes of one objective function and one or several constraints which can be in the form of equality and inequality. Most of the problems in the real world are include of inconsistent and astute uncertainty, because of this reason we can’t obtain the optimal solution easily. In this paper, we introduce a new model for Neutrosophic Integer Programming Problems where the coefficient of problems are neutrosophic numbers and by using a new score function will propose a method for solving them.
Book Synopsis Solving fully neutrosophic linear programming problem with application to stock portfolio selection by : Hamiden Abd El-Wahed Khalifa
Download or read book Solving fully neutrosophic linear programming problem with application to stock portfolio selection written by Hamiden Abd El-Wahed Khalifa and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy by : Surapati Pramanik
Download or read book Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy written by Surapati Pramanik and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper, we propose an alternative strategy for multi-level linear programming (MLP) problem with neutrosophic numbers through goal programming strategy. Multi-level linear programming problem consists of k levels where there is an upper level at the first level and multiple lower levels at the second level with one objective function at every level.
Book Synopsis Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment by : Abdullah Ali
Download or read book Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment written by Abdullah Ali and published by Infinite Study. This book was released on with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters.
Book Synopsis An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem by : Sapan Kumar Das
Download or read book An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem written by Sapan Kumar Das and published by Infinite Study. This book was released on 2020-10-01 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops a general form of neutrosophic linear fractional programming (NLFP) problem and proposed a novel model to solve it. In this method the NLFP problem is decomposed into two neutrosophic linear programming (NLP) problem. Furthermore, the problem has been solved by combination of dual simplex method and a special ranking function. In addition, the model is compared with an existing method. An illustrative example is shown for better understanding of the proposed method. The results show that the method is computationally very simple and comprehensible.
Book Synopsis Neutrosophic Linear Programming Problems by : Abdel-Nasser Hussian
Download or read book Neutrosophic Linear Programming Problems written by Abdel-Nasser Hussian and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
