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An Optimized Method For Solving Membership Based Neutrosophic Linear Programming Problems
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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 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 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 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 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 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 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 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 Neutrosophic Linear Fractional Programming Problems by : Mai Mohamed
Download or read book Neutrosophic Linear Fractional Programming Problems 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 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 Multi-objective non-linear four-valued refined neutrosophic optimization by : Gul Freen
Download or read book Multi-objective non-linear four-valued refined neutrosophic optimization written by Gul Freen and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The neutrosophic sets are the prevailing frameworks that not only generalize the concept of fuzzy sets, but also analyse the connectivity of neutralities with different ideational spectra. In this article, we define a special type of neutrosophic set, named four-valued refined neutrosophic set (FVRNO), based on which various set-theoretic operators and properties of four-valued refined neutrosophic sets are studied. Often in many optimization problems of the real world, only the partial information about the values of parameters is available. In such situations, where impreciseness is involved in the information, classical techniques do not exhibit an appropriate optimal solution. A new concept to handle imprecise information is introduced and computational algorithm is formulated in four-valued refined neutrosophic environment. The new concept of optimization problem is an extension of intuitionistic fuzzy optimization as well as single-valued neutrosophic optimization.
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 A New Method for Solving Interval Neutrosophic Linear Programming Problems by : Amirhossein Nafei
Download or read book A New Method for Solving Interval Neutrosophic Linear Programming Problems written by Amirhossein Nafei 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 theory is a generalization of the intuitionistic fuzzy set which can be considered as a powerful tool to express the indeterminacy and inconsistent information that exist commonly in engineering applications and real meaningful science activities. In this paper an interval neutrosophic linear programming (INLP) model will be presented, where its parameters are represented by triangular interval neutrosophic numbers (TINNs) and call it INLP problem. Afterward, by using a ranking function we present a technique to convert the INLP problem into a crisp model and then solve it by standard methods.
Book Synopsis Modified Solution for Neutrosophic Linear Programming Problems with Mixed Constraints by : S. K. Das
Download or read book Modified Solution for Neutrosophic Linear Programming Problems with Mixed Constraints written by S. K. Das and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Linear Programming (NLP) issues is presently extensive applications in science and engineering. The primary commitment right now to manage the NLP problem where the coefficients are neutrosophic triangular numbers with blended requirements.
Book Synopsis Neutrosophic Optimization and its Application on Structural Designs by : Mridula Sarkar
Download or read book Neutrosophic Optimization and its Application on Structural Designs written by Mridula Sarkar and published by Infinite Study. This book was released on with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the real world, uncertainty or vagueness is prevalent in engineering and management computations. Commonly, such uncertainties are included in the design process by introducing simplified hypothesis and safety or design factors.
Book Synopsis A Multi-Objective Production Planning Problem Based on NeutrosophicLinear Programming Approach by : Rittik Roy
Download or read book A Multi-Objective Production Planning Problem Based on NeutrosophicLinear Programming Approach written by Rittik Roy and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set is a powerful general formal framework that has been proposed in 1995 by Smarandache. The paper aims to give a computational algorithm to solve a multi-objective linear programming problem (MOLPP) using Neutrosophic optimization method. The developed algorithm has been illustrated by a production planning problem. We made a comparative study of optimal solution between intuitionistic fuzzy optimization and Neutrosophic optimization technique.
Book Synopsis A Single-valued Pentagonal Neutrosophic Geometric Programming Approach to Optimize Decision Maker’s Satisfaction Level by : Satyabrata Nath
Download or read book A Single-valued Pentagonal Neutrosophic Geometric Programming Approach to Optimize Decision Maker’s Satisfaction Level written by Satyabrata Nath and published by Infinite Study. This book was released on 2023-01-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieving the desired level of satisfaction for a decision-maker in any decision-making scenario is considered a challenging endeavor because minor modifications in the process might lead to incorrect findings and inaccurate decisions. In order to maximize the decision-maker’s satisfaction, this paper proposes a Single-valued Neutrosophic Geometric Programming model based on pentagonal fuzzy numbers. The decision-maker is typically assumed to be certain of the parameters, but in reality, this is not the case, hence the parameters are presented as neutrosophic fuzzy values. The decision-maker, with this strategy, is able to achieve varying levels of satisfaction and dissatisfaction for each constraint and even complete satisfaction for certain constraints. Here the decision maker aims to achieve the maximum level of satisfaction while maintaining the level of hesitation and minimizing dissatisfaction in order to retain an optimum solution. Furthermore, transforming the objective function into a constraint adds one more layer to the N-dimensional multi-parametrizes and . The advantages of this multi-parametrized proposed method over the existing ones are proven using numerical examples.
