Entropy Neutro Entropy And Anti Entropy For Neutrosophic Information PDF Download
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| Author | : Vasile Patrascu |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Entropy, neutro-entropy and anti-entropy for neutrosophic information Book in PDF, ePub and Kindle
This article shows a deca-valued representation of neutrosophic information in which are defined the following features: truth, falsity, weak truth, weak falsity, ignorance, contradiction, saturation, neutrality, ambiguity and hesitation. Using these features, there are constructed computing formulas for entropy, neutro-entropy and anti-entropy.
| Author | : Vasile Patrascu |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Entropy, Neutro-Entropy and Anti-Entropy for Neutrosophic Information Book in PDF, ePub and Kindle
This article shows a deca-valued representation of neutrosophic information. For this representation the following neutrosophic features were defined and used: truth, falsity, weak truth, weak falsity, ignorance, contradiction, saturation, neutrality, ambiguity and hesitation. In the context created by these ten features emerged the possibility but also the necessity of defining three neutrosophic concepts: entropy, neutro-entropy and anti-entropy. Possibility appeared due to the refining of neutrosophic representation. The necessity appeared because all of these features cannot be classified by taking into account only certainty (entropy) and uncertainty (anti-entropy). There is a requirement for a third concept (neutro-entropy) that refers to neutrality.
| Author | : Vasile Patrascu |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Shannon Entropy for Neutrosophic Information Book in PDF, ePub and Kindle
The paper presents an extension of Shannon entropy for neutrosophic information. This extension uses a new formula for distance between two neutrosophic triplets. In addition, the obtained results are particularized for bifuzzy, intuitionistic and paraconsistent fuzzy information.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 461 |
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Download New Trends in Neutrosophic Theory and Applications, Volume II Book in PDF, ePub and Kindle
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.
| Author | : Rehan Ahmad Khan Sherwani |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
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Download Neutrosophic Entropy Measures For The Normal Distribution: Theory And Applications Book in PDF, ePub and Kindle
Entropy is a measure of uncertainty and often used in information theory to determine the precise testimonials about unclear situations. Different entropy measures available in the literature are based on the exact form of the observations and lacks in dealing with the interval-valued data. The interval-valued data often arises from the situations having ambiguity, imprecise, unclear, indefinite, or vague states of the experiment and is called neutrosophic data. In this research modified forms of different entropy measures for normal probability distribution have been proposed by considering the neutrosophic form data. The performance of the proposed neutrosophic entropies for normal distribution has been assessed via a simulation study. Moreover, the proposed measures are also applied to two real data sets for their wide applicability.
| Author | : Jun Ye |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
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Download Exponential Entropy for Simplified Neutrosophic Sets and Its Application in Decision Making Book in PDF, ePub and Kindle
Entropy is one of many important mathematical tools for measuring uncertain/fuzzy information. As a subclass of neutrosophic sets (NSs), simplified NSs (including single-valued and interval-valued NSs) can describe incomplete, indeterminate, and inconsistent information. Based on the concept of fuzzy exponential entropy for fuzzy sets, this work proposes exponential entropy measures of simplified NSs (named simplified neutrosophic exponential entropy (SNEE) measures), including single-valued and interval-valued neutrosophic exponential entropy measures, and investigates their properties.
| Author | : Wen-Hua Cui |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Generalized Distance-Based Entropy and Dimension Root Entropy for Simplified Neutrosophic Sets Book in PDF, ePub and Kindle
In order to quantify the fuzziness in the simplified neutrosophic setting, this paper proposes a generalized distance-based entropy measure and a dimension root entropy measure of simplified neutrosophic sets (NSs) (containing interval-valued and single-valued NSs) and verifies their properties. Then, comparison with the existing relative interval-valued NS entropy measures through a numerical example is carried out to demonstrate the feasibility and rationality of the presented generalized distance-based entropy and dimension root entropy measures of simplified NSs. Lastly, a decision-making example is presented to illustrate their applicability, and then the decision results indicate that the presented entropy measures are effective and reasonable. Hence, this study enriches the simplified neutrosophic entropy theory and measure approaches.
| Author | : Majdoleen Abu Qamar |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
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Download Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications Book in PDF, ePub and Kindle
The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by upgrading the membership functions to a two-dimensional entity which indicate uncertainty, indeterminacy and falsity. Hence, it is able to deal with two-dimensional inconsistent, imprecise, and indeterminate information appearing in real life situations. In this study, the tools that measure the similarity, distance and the degree of fuzziness of Q-neutrosophic soft sets are presented. The definitions of distance, similarity and measures of entropy are introduced. Some formulas for Q-neutrosophic soft entropy were presented. The known Hamming, Euclidean and their normalized distances are generalized to make them well matched with the idea of Q-neutrosophic soft set. The distance measure is subsequently used to define the measure of similarity. Lastly, we expound three applications of the measures of Q-neutrosophic soft sets by applying entropy and the similarity measure to a medical diagnosis and decision making problems.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 25 |
| Release | : |
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Download Cross Entropy Measures of Bipolar and Interval Bipolar Neutrosophic Sets and Their Application for Multi-Attribute Decision-Making Book in PDF, ePub and Kindle
The bipolar neutrosophic set is an important extension of the bipolar fuzzy set. The bipolar neutrosophic set is a hybridization of the bipolar fuzzy set and neutrosophic set.
| Author | : Vasile Pătraşcu |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
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| Genre | : |
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Download The Neutrosophic Entropy and its Five Components Book in PDF, ePub and Kindle
This paper presents two variants of pentavalued representation for neutrosophic entropy. The first is an extension of Kaufmann's formula and the second is an extension of Kosko's formula.
