An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making
Title | An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making PDF eBook |
Author | Majdoleen Abu Qamar |
Publisher | Infinite Study |
Pages | 18 |
Release | |
Genre | Mathematics |
ISBN |
A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation.
An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making
Title | An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making PDF eBook |
Author | Majdoleen Abu Qamar |
Publisher | Infinite Study |
Pages | 18 |
Release | |
Genre | Mathematics |
ISBN |
A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry.
Neutrosophic soft set and its application in multicriteria decision making problems
Title | Neutrosophic soft set and its application in multicriteria decision making problems PDF eBook |
Author | H. M. Balami |
Publisher | Infinite Study |
Pages | 27 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, neutrosophic soft set was studied and an observation made of the potential of its application in real life problems, multicriteria decision making problems in particular. To achieve some of the underlying goals, there is a need to de ne certain algebraic operations, namely, restricted intersection, extended intersection and restricted union. Some basic properties emerging from the de nitions are presented and they include union, AND-product and OR-product operations. Some De Morgan's laws and the concept of inclusions are also established in neutrosophic soft set context. Some examples of the application of neutrosophic soft set in decision making problems using level soft sets of neutrosophic soft sets were presented. Furthermore, the concept of weighted neutrosophic soft set were discussed and applied to multicriteria decision making problems.
Neutrosophic soft sets with applications in decision making
Title | Neutrosophic soft sets with applications in decision making PDF eBook |
Author | Faruk Karaaslan |
Publisher | Infinite Study |
Pages | 23 |
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We firstly present definitions and properties in study of Maji on neutrosophic soft sets. We then give a few notes on his study. Next, based on Cagman , we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of optimum elements from the alternatives. We finally present examples which shows that the methods can be successfully applied to many problems that contain uncertainties.
An approach to Q-neutrosophic soft rings
Title | An approach to Q-neutrosophic soft rings PDF eBook |
Author | Majdoleen Abu Qamar |
Publisher | Infinite Study |
Pages | 16 |
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Genre | Mathematics |
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In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.
The complex neutrosophic soft expert set and its application in decision making
Title | The complex neutrosophic soft expert set and its application in decision making PDF eBook |
Author | Ashraf Al-Quran |
Publisher | Infinite Study |
Pages | 14 |
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Genre | |
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This paper presents a novel complex neutrosophic soft expert set(CNSES) concept.The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES’s elements in terms of the time aspect.
SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING
Title | SOFT NEUTROSOPHIC CLASSICAL SETS AND THEIR APPLICATIONS IN DECISION-MAKING PDF eBook |
Author | Faruk Karaaslan |
Publisher | Infinite Study |
Pages | 16 |
Release | |
Genre | Mathematics |
ISBN |
In this paper, we introduce the concept of soft neutrosophic classical sets and its set theoretical operations such as; union, intersection, complement, AND-product and OR-product. In addition to these concept and operations, we define four basic types of sets of degenerate elements in a soft neutrosophic classical set. Then, we propose a group decision making method based on soft neutrosophic classical sets, and give algorithm of proposed method. We also make an application of proposed method on a problem including soft neutrosophic classical data.