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Author: Vasile Patrascu
Publisher: Infinite Study
Published:
Total Pages: 9
ISBN-13:
DOWNLOAD EBOOK →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: Vasile Patrascu
Publisher: Infinite Study
Published:
Total Pages: 17
ISBN-13:
DOWNLOAD EBOOK →Shannon entropy was defined for probability distributions and then its using was expanded to measure the uncertainty of knowledge for systems with complete information.
Author: Vasile Patrascu
Publisher: Infinite Study
Published:
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOK →This article presents a new method of segmenting grayscale images by minimizing Shannon's neutrosophic entropy. For the proposed segmentation method, the neutrosophic information components, i.e., the degree of truth, the degree of neutrality and the degree of falsity are defi ned taking into account the belonging to the segmented regions and at the same time to the separation threshold area. The principle of the method is simple and easy to understand and can lead to multiple thresholds. The effcacy of the method is illustrated using some test gray level images. The experimental results show that the proposed method has good performance for segmentation with optimal gray level thresholds.
Author: Rehan Ahmad Khan Sherwani
Publisher: Infinite Study
Published:
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOK →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: Vasile Patrascu
Publisher: Infinite Study
Published:
Total Pages: 14
ISBN-13:
DOWNLOAD EBOOK →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: Jun Ye
Publisher: Infinite Study
Published:
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOK →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: Florentin Smarandache
Publisher: Infinite Study
Published: 2014-12-01
Total Pages: 482
ISBN-13: 159973320X
DOWNLOAD EBOOK →This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.
Author: Surapati Pramanik
Publisher: Infinite Study
Published:
Total Pages: 25
ISBN-13:
DOWNLOAD EBOOK →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: Florentin Smarandache
Publisher: MDPI
Published: 2018-10-12
Total Pages: 207
ISBN-13: 3038972886
DOWNLOAD EBOOK →This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
Author: Florentin Smarandache
Publisher: Infinite Study
Published:
Total Pages: 320
ISBN-13:
DOWNLOAD EBOOK →“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
