Multi-objective non-linear four-valued refined neutrosophic optimization

Multi-objective non-linear four-valued refined neutrosophic optimization
Author: Gul Freen
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

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.

Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 970
Release: 2022-09-01
Genre: Mathematics
ISBN:

International Journal of Neutrosophic Science (IJNS) Volume 12, 2020

International Journal of Neutrosophic Science (IJNS) Volume 12, 2020
Author: Broumi Said
Publisher: Infinite Study
Total Pages: 118
Release:
Genre: Mathematics
ISBN:

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

Neutrosophic Linear Programming Problem

Neutrosophic Linear Programming Problem
Author: Abdel-Nasser Hussian
Publisher: Infinite Study
Total Pages: 6
Release:
Genre:
ISBN:

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.

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure

Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure
Author: Harish Garg
Publisher: Infinite Study
Total Pages: 23
Release:
Genre: Mathematics
ISBN:

Single-valued neutrosophic set (SVNS) is an important contrivance for directing the decision-making queries with unknown and indeterminant data by employing a degree of “acceptance”, “indeterminacy”, and “non-acceptance” in quantitative terms. Under this set, the objective of this paper is to propose some new distance measures to find discrimination between the SVNSs. The basic axioms of the measures have been highlighted and examined their properties. Furthermore, to examine the relevance of proposed measures, an extended TOPSIS (“technique for order preference by similarity to ideal solution”) method is introduced to solve the group decision-making problems. Additionally, a new clustering technique is proposed based on the stated measures to classify the objects. The advantages, comparative analysis as well as superiority analysis is given to shows its influence over existing approaches.

A Nonlinear Approach for Neutrosophic Linear Programming

A Nonlinear Approach for Neutrosophic Linear Programming
Author: Seyyed Ahmad Edalatpanah
Publisher: Infinite Study
Total Pages: 7
Release:
Genre: Mathematics
ISBN:

The aim of this paper is to put forward a new algorithm for solving the Single-Valued Neutrosophic linear programming problem. A numerical example is reported to verify the effectiveness of the new algorithms.

An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem

An Intelligent Dual Simplex Method to Solve Triangular Neutrosophic Linear Fractional Programming Problem
Author: Sapan Kumar Das
Publisher: Infinite Study
Total Pages: 20
Release: 2020-10-01
Genre: Mathematics
ISBN:

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.