Neutrosophic Integer Programming Problems

Neutrosophic Integer Programming Problems
Author: Mohamed Abdel-Baset
Publisher: Infinite Study
Total Pages: 13
Release:
Genre:
ISBN:

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

Neutrosophic Integer Programming Problems

Neutrosophic Integer Programming Problems
Author: Mohamed Abdel-Baset
Publisher: Infinite Study
Total Pages: 13
Release:
Genre:
ISBN:

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

Neutrosophic Linear Programming Problems

Neutrosophic Linear Programming Problems
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.

Neutrosophic Linear Fractional Programming Problems

Neutrosophic Linear Fractional Programming Problems
Author: Abdel-Nasser Hussian
Publisher: Infinite Study
Total Pages: 19
Release:
Genre:
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.

A New Method for Solving Interval Neutrosophic Linear Programming Problems

A New Method for Solving Interval Neutrosophic Linear Programming Problems
Author: Amirhossein Nafei
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:

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.

Solving fully neutrosophic linear programming problem with application to stock portfolio selection

Solving fully neutrosophic linear programming problem with application to stock portfolio selection
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.

A novel method for solving the fully neutrosophic linear programming problems

A novel method for solving the fully neutrosophic linear programming problems
Author: Mohamed Abdel-Basset
Publisher: Infinite Study
Total Pages: 12
Release: 2018-02-24
Genre: Business & Economics
ISBN:

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.

Neutrosophic Sets in Decision Analysis and Operations Research

Neutrosophic Sets in Decision Analysis and Operations Research
Author: Abdel-Basset, Mohamed
Publisher: IGI Global
Total Pages: 470
Release: 2019-12-27
Genre: Computers
ISBN: 1799825574

In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.