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 |
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Genre | Mathematics |
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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.
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 |
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Genre | Mathematics |
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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.
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.
Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making
Title | Multi Q-Single Valued Neutrosophic Soft Expert Set and its Application in Decision Making PDF eBook |
Author | Qaisar Khan |
Publisher | Infinite Study |
Pages | 20 |
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Genre | Mathematics |
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Smarandache introduced the concept of neutrosophic set which is the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical tool to handle incomplete, inconsistance and vague information. In this work, we propose the concept of multi Q-single valued neutrosophic soft expert set and its basic operations such as, union, intersection, complement, And and OR.
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.
Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making
Title | Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making PDF eBook |
Author | Muhammad Riaz |
Publisher | Infinite Study |
Pages | 22 |
Release | |
Genre | Mathematics |
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In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSR-topology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSR- topology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point, and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM) methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems. For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determinencore issues to control crime rate based on NSR-lower approximations, NSR-upper approximations, matrices, core, and NSR-topology.
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 |
Release | |
Genre | |
ISBN |
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.