On Some Similarity Measures Of Single Valued Neutrosophic Rough Sets
Download On Some Similarity Measures Of Single Valued Neutrosophic Rough Sets full books in PDF, epub, and Kindle. Read online free On Some Similarity Measures Of Single Valued Neutrosophic Rough Sets ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : K. Mohana |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download On Some Similarity Measures of Single Valued Neutrosophic Rough Sets. Book in PDF, Epub and Kindle
In this paper we have obtained the similarity measures between single valued neutrosophic rough sets by analyzing the concept of its distance between them and studied its properties. Further we have studied its similarity based on its membership degrees and studied its properties. We have also defined the cardinality of two single valued neutrosophic rough sets. A numerical example in medical diagnosis is given for the proposed similarity measure of the single valued neutrosophic rough sets which helps us to prove the usefulness and flexibility of the proposed method.
| Author | : Kalyan Sinha |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Bipolar quadripartitioned single valued neutrosophic rough set Book in PDF, Epub and Kindle
Here bipolar quadripartitioned single valued neutrosophic rough (BQSVNR) set is introduced. Some basic set theoretic terminologies like constant BQSVNR set, subsethood of two BQSVNR sets are shown. Algebraic operations like union, intersection and complement have also been defined. Different types of measure like similarity measure, quasi similarity measure and distance measures between two BQSVNR sets have been discussed with their properties. Again various measures of similarity namely distance based similarity measure, cosine similarity measure, membership function based similarity measure are introduced in this paper. A medical diagonasis problem has been solved using similarity measure at the end.
| Author | : Emad Marei |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application Book in PDF, Epub and Kindle
This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis Book in PDF, Epub and Kindle
In this paper, we define a rough cosine similarity measure between two rough neutrosophic sets. The notions of rough neutrosophic sets (RNS) will be used as vector representations in 3D-vector space. The rating of all elements in RNS is expressed with the upper and lower approximation operator and the pair of neutrosophic sets which are characterized by truth-membership degree, indeterminacy-membership degree, and falsity-membership degree. A numerical example of the medical diagnosis is provided to show the effectiveness and flexibility of the proposed method.
| Author | : Yan-Ling Bao |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
Download On single valued neutrosophic refined rough set model and its application Book in PDF, Epub and Kindle
Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information.
| Author | : Emad Marei |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application Book in PDF, Epub and Kindle
This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved.
| Author | : Suriana Alias |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Roughness And Similarity Measure Of Rough Neutrosophic Multisets Using Vectorial Model Of Information Book in PDF, Epub and Kindle
The roughness and similarity measure for two different information in the same universal set is useful in explaining the strength and completeness of the information given. Then, for rough neutrosophic multisets environment, the lower and upper approximation was a concerned property to study in explaining the roughness of the information needed. Meanwhile, the vectorial models of information which are cosine measure and dice measure represent the result for the similarity measure of rough neutrosophic multisets. The finding of this set theory gives a new generalization about similarity measure for multiple information involving indeterminacy information in the same environment. Besides that, the rough neutrosophic multisets theory also applicable set-in decision making for medical diagnosis. The comparison result showed that the roughness approximation of information is essential to get the best result in a close similarity measure.
| Author | : KALYAN MONDAL |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Several Trigonometric Hamming Similarity Measures of Rough Neutrosophic Sets and their Applications in Decision Making Book in PDF, Epub and Kindle
In 2014, Broumi et al. (S. Broumi, F. Smarandache, M. Dhar, Rough neutrosophic sets, Italian Journal of Pure and Applied Mathematics, 32 (2014), 493-502.) introduced the notion of rough neutrosophic set by combining neutrosophic sets and rough sets, which has been a mathematical tool to deal with problems involving indeterminacy and incompleteness. The real world is full of indeterminacy.
| Author | : Qiu Jin |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download New Single-Valued Neutrosophic Rough Sets and Related Topology Book in PDF, Epub and Kindle
(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.
| Author | : Abhijit Saha |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Generalized Weighted Exponential Similarity Measures of Single Valued Neutrosophic Sets Book in PDF, Epub and Kindle
A single valued neutrsophic set is one of the most successful extensions of the classical set, fuzzy set, intuitionistic fuzzy set, Pythagorean fuzzy set and q-rung orthopair fuzzy set due to the fact that it can handle uncertain data in more wider way. In this paper, we introduce some new generalized weighted similarity measures based on the exponential functions defined on truth-membership function, indeterminacy membership function and falsity membership function of a single valued neutrosophic set to study the independent influences of the truthmembership function, indeterminacy membership function and falsity membership function. The salient features of these proposed similarity measures are studied in detail. Based on the proposed similarity measures, we propose a multi attribute decision making method. To show the feasibility and effectiveness of the proposed method, an investment decision making problem is demonstrated.
