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Author: Mai Mohamed
Publisher: Infinite Study
Published:
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOK →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: Mai Mohamed
Publisher: Infinite Study
Published:
Total Pages: 19
ISBN-13:
DOWNLOAD EBOOK →In this paper, a solution procedure is proposed to solve neutrosophic linear Fractional Programming Problem.
Author: Abdel-Nasser Hussian
Publisher: Infinite Study
Published:
Total Pages: 13
ISBN-13:
DOWNLOAD EBOOK →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: Sapan Kumar Das
Publisher: Infinite Study
Published: 2020-10-01
Total Pages: 20
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Abdel-Nasser Hussian
Publisher: Infinite Study
Published:
Total Pages: 6
ISBN-13:
DOWNLOAD EBOOK →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: Mohamed Abdel-Basset
Publisher: Infinite Study
Published: 2018-02-24
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Mohamed Abdel-Basset
Publisher: Infinite Study
Published:
Total Pages: 11
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Amir Hossein Nafei
Publisher: Infinite Study
Published:
Total Pages: 18
ISBN-13:
DOWNLOAD EBOOK →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: Mohamed Abdel-Basset
Publisher: Infinite Study
Published:
Total Pages: 5
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Florentin Smarandache
Publisher: Infinite Study
Published: 2017
Total Pages: 212
ISBN-13: 1599735202
DOWNLOAD EBOOK →This book treats all kind of data in neutrosophic environment, with real-life applications, approaching topics as linear programming problem, linear fractional programming, integer programming, triangular neutrosophic numbers, single valued triangular neutrosophic number, neutrosophic optimization, goal programming problem, Taylor series, multi-objective programming problem, neutrosophic geometric programming, neutrosophic topology, neutrosophic open set, neutrosophic semi-open set, neutrosophic continuous function, cylindrical skin plate design, neutrosophic MULTIMOORA, alternative solutions, decision matrix, ratio system, reference point method, full multiplicative form, ordinal dominance, standard error, market research, and so on. The selected papers deal with the alleviation of world changes, including changing demographics, accelerating globalization, rising environmental concerns, evolving societal relationships, growing ethical and governance concern, expanding the impact of technology; some of these changes have impacted negatively the economic growth of private firms, governments, communities, and the whole society.
