401 research outputs found
More on Intuitionistic Neutrosophic Soft Sets
No full textIntuitionistic Neutrosophic Soft Set theory proposed by S. Broumi and F. Samarandache [28], has been regarded as an effective mathematical tool to deal with uncertainties. In this paper new operations on intuitionistic neutrosophic soft sets have been introduced . Some results relating to the properties of these operations have been established. Moreover ,we illustrate their interconnections between each other
Operations of Single Valued Neutrosophic Coloring
No full textSmarandache introduced the concept of Neutrosophic which deals with membership, non-membership and indeterminacy values. Wang discussed the Single Valued Neutrosophic sets in 2010. Single Valued Neutrosophic graph was introduced by Broumi and in 2019 Single Valued Neutrosophic coloring was introduced. In this paper, some properties of the Single Valued Neutrosophic Coloring of Strong Single Valued Neutrosophic graph, Complete Single Valued Neutrosophic graph and Complement of Single Valued Neutrosophic graphs are discussed
Generalized Neutrosophic Soft Set
No full textIn 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 [7]
and soft set techniques proposed by Molodtsov [4]. 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
Generalized Interval Neutrosophic Soft Set and its Decision Making Problem
No full textIn this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
No full textFuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications
Several Similarity Measures of Neutrosophic Sets
No full textSmarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate
the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures
Neutrosophic Refined Similarity Measure Based on Cosine Function
No full textIn this paper, the cosine similarity measure of neutrosophic refined (multi-) sets is proposed and its properties are studied. The concept of this cosine similarity measure of neutrosophic refined sets is the extension of improved cosine similarity measure of single valued neutrosophic. Finally, using this cosine similarity measure of neutrosophic refined set, the application of medical diagnosis is presented
Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks
No full textIn this paper, a new concept of bijective single valued neutrosophic set and bijective single valued neutrosophic graphs are introduced. Also, the height, depth, bijective single valued neutrosophic bridge (BSVN – Bridge), bijective single valued neutrosophic cut vertex (BSVN – cut vertex) in bijective single valued neutrosophic graphs are defined. Some properties of bijective single valued neutrosophic cycles have been explored. Relation between Connectivity and BSVN-cut vertices, BSVN-Bridges are given. It contains few significant properties like, if = dE , then is not a BSVN-bridge. Also, If = dE , being an edge in a BSVN-cycle graph G of length n , then G has (n −1) BSVN-bridges. An application of BSVN graphs by considering the users as vertices and interaction between the users as edged in an instagram social network is used in fraud detection analysis in social networks by using almost all the properties which were explored related to cycles
On Neutrosophic Implications
No full textIn this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven
New Operators on Interval Valued Neutrosophic Sets
No full textAs a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed
by F. Smarandache to represent imprecise, incomplete and inconsistent information existing in
the real world. A neutrosophic set is characterized by a truth-membership function, an indeterminacymembership
function, and a falsity-membership function. An interval neutrosophic set is an instance of
a neutrosophic set, which can be used in real scientific and engineering applications. In this paper we
have defined some new operators on interval valued neutrosophic sets and studied their properties. In
addition, we give numerical examples to illustrate the defined operation
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