Neutrosophic Multi-Criteria Decision Making

Neutrosophic Multi-Criteria Decision Making
Author: Florentin Smarandache
Publisher: MDPI
Total Pages: 207
Release: 2018-10-12
Genre: Mathematics
ISBN: 3038972886

This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function

Multi Criteria Decision Making Method in Neutrosophic Environment Using a New Aggregation Operator, Score and Certainty Function
Author: KANIKA MANDAL
Publisher: Infinite Study
Total Pages: 20
Release:
Genre:
ISBN:

Neutrosophic sets, being generalization of classic sets, fuzzy sets and intuitionistic fuzzy sets, can simultaneously represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. Neutrosophic theory has been developed in twenty first century and not much of arithmetic has been developed for this set.

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set
Author: Wen Jiang
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:

Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.

Neutrosophic Sets and Systems, vol. 19/2018

Neutrosophic Sets and Systems, vol. 19/2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 143
Release:
Genre: Mathematics
ISBN:

“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.

Multi-criteria decision making method based on similarity measures under single-valued neutrosophic refined and interval neutrosophic refined environments

Multi-criteria decision making method based on similarity measures under single-valued neutrosophic refined and interval neutrosophic refined environments
Author: Faruk Karaaslan
Publisher: Infinite Study
Total Pages: 21
Release:
Genre:
ISBN:

In this paper, we propose three similarity measure methods for single-valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single-valued neutrosophic sets and interval neutrosophic sets.