Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems

Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems
Author: Subhadip Roy
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.

Neutrosophic Sets and Systems Book Series, Vol. 30, 2019

Neutrosophic Sets and Systems Book Series, Vol. 30, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 293
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.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 10
Release: 2010-08-23
Genre: Mathematics
ISBN:

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 143
Release: 2018
Genre: Mathematics
ISBN: 159973561X

“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.

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

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 168
Release: 2018
Genre: Mathematics
ISBN: 1599735814

“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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 189
Release: 2018
Genre: Mathematics
ISBN: 1599735873

“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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 156
Release:
Genre: Mathematics
ISBN: 1599735989

“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.

Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making

Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making
Author: Faruk Karaaslan
Publisher: Infinite Study
Total Pages: 21
Release:
Genre: Mathematics
ISBN:

The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making.