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Bi-level Linear Programming Problem with Neutrosophic Numbers

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 12

ISBN-13:

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.

Multi-level linear programming problem with neutrosophic numbers: A goal programming strategy

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.

Neutrosophic Linear Programming Problems

Author: Abdel-Nasser Hussian

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.

A novel method for solving the fully neutrosophic linear programming problems

Author: Mohamed Abdel-Basset

Publisher: Infinite Study

Published: 2018-02-24

Total Pages: 12

ISBN-13:

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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.

A novel method for solving the fully neutrosophic linear programming problems

Author: Mohamed Abdel-Basset

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Neutrosophic Linear Fractional Programming Problem

Author: Mai Mohamed

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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In this paper, a solution procedure is proposed to solve neutrosophic linear Fractional Programming Problem.

Neutrosophic Linear Fractional Programming Problems

Author: Abdel-Nasser Hussian

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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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.

A New Method for Solving Interval Neutrosophic Linear Programming Problems

Author: Amirhossein Nafei

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.

Neutrosophic Integer Programming Problems

Author: Mohamed Abdel-Baset

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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In this chapter, we introduce the integer programming in neutrosophic environment, by considering coefficients of problem as a triangular neutrosophic numbers

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 166

ISBN-13: 1599735814

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.