Neutrosophic soft set
Title | Neutrosophic soft set PDF eBook |
Author | Pabitra Kumar Maji |
Publisher | Infinite Study |
Pages | 12 |
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In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and defined neutrosophic soft set. Some definitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.
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.
Neutrosophic Soft Sets Applied on Incomplete Data
Title | Neutrosophic Soft Sets Applied on Incomplete Data PDF eBook |
Author | Abhijit Saha |
Publisher | Infinite Study |
Pages | 12 |
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Genre | Mathematics |
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A neutrosophic set is a part of neutrosophy that studies the origin, nature and scope of neutralities as well as their interactions with different ideational spectra. In this present paper first we have introduced the concept of a neutrosophic soft set having incomplete data with suitable examples. Then we have tried to explain the consistent and inconsistent association between the parameters. We have introduced few new definitions, namely- consistent association number between the parameters, consistent ssociation degree, inconsistent association number between the parameters and inconsistent association degree to measure these associations. Lastly we have presented a data filling algorithm. An illustrative example is employed to show the feasibility and validity of our algorithm in practical situation.
Advances and Applications of Fuzzy Sets and Logic
Title | Advances and Applications of Fuzzy Sets and Logic PDF eBook |
Author | Said Broumi |
Publisher | Engineering Science Reference |
Pages | |
Release | 2021-07 |
Genre | |
ISBN | 9781799879800 |
Generalized Neutrosophic Soft Set
Title | Generalized Neutrosophic Soft Set PDF eBook |
Author | Said Broumi |
Publisher | Infinite Study |
Pages | 14 |
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In this paper we present a new concept called “generalized neutrosophic soft set”. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A.Salama and soft set techniques proposed by Molodtsov. We also study some properties of this concept. Some definitions and operations have been introduced on generalized neutrosophic soft set. Finally we present an application of generalized neuutrosophic soft set in decision making problem.
Intuitionistic Neutrosophic Soft Set
Title | Intuitionistic Neutrosophic Soft Set PDF eBook |
Author | Broumi Said |
Publisher | Infinite Study |
Pages | 11 |
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Genre | Mathematics |
ISBN |
In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.
About Rough Neutrosophic Soft Sets Theory and Study Their Properties
Title | About Rough Neutrosophic Soft Sets Theory and Study Their Properties PDF eBook |
Author | Somen Debnath |
Publisher | Infinite Study |
Pages | 8 |
Release | |
Genre | Mathematics |
ISBN |
Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.