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Florentin Smarandache: Law of included Multiple-Middle. Book Review
Florentin Smarandache is known as scientist and writer. He writes in three languages: Romanian, French, and English. He graduated the Department of Mathematics and Computer Science at the University of Craiova in 1979 first of his class, earned a Ph. D. in Mathematics from the State University Moldova at Kishinev in 1997, and continued postdoctoral studies at various American Universities such as University of Texas at Austin, University of Phoenix, etc. after emigration.
Introduction to Neutrosophic Statistics
Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.
Complex Valued Graphs for Soft Computing
In this book the authors define, describe, and develop the notion of complex valued graphs, complex neutrosophic valued graphs, and mod complex valued graphs in a systematic way. However complex neural networks have been analyzed and studied as early as 2003. This book gives several applications of them in medical diagnosis, soft computing, and so on.
Neutrosophy
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Florentin Smarandache, His Life & Activity, Impictured
Photo album containing pictures of various scientific and cultural activities of Dr. Florentin Smarandache, professor of mathematics at the University of New Mexico.
Smarandache
Florentin Smarandache is a professor of mathematics at the University of New Mexico, United States. He got his MSc in Mathematics and Computer Science from the University of Craiova, Romania, PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction i...
Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond
This book is the fifth volume in the series of Collected Papers on Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond. This volume specifically delves into the concept of Various SuperHyperConcepts, building on the foundational advancements introduced in previous volumes. The series aims to explore the ongoing evolution of uncertain combinatorics through innovative methodologies such as graphization, hyperization, and uncertainization. These approaches integrate and extend core concepts from fuzzy, neutrosophic, soft, and rough set theories, providing robust frameworks to model and analyze the inherent comp...
Fuzzy and Neutrosophic Sets in Semigroups
The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft (generalized) bi-ideal, Int-soft quasi-ideal, Int-soft interior ideal, Int-soft left (right) duo semigroup, starshaped (∈, ∈∨ qk)-fuzzy set, quasi-starshaped (∈, ∈∨ qk)-fuzzy set, semidetached mapping, semidetached semigroup, (∈, ∈ ∨qk)-fuzzy subsemi-group, (qk, ∈ ∨qk)-fuzzy subsemigroup, (∈, ∈ ∨ qk)-fuzzy subsemigroup, (qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈ ∨ qk, ∈ ∨ qk)-fuzzy subsemigroup, (∈, ∈∨ qkδ)-fuzzy subsemigroup, ∈∨ qkδ -level subsemigroup/bi-ideal, (∈, ∈∨ qkδ )-fuzzy (generalized) bi-ideal, δ-lower (δ-upper) approximation of fuzzy set, δ-lower (δ-upper) rough fuzzy subsemigroup, δ-rough fuzzy subsemigroup, Neutrosophic N -structure, neutrosophic N -subsemigroup, ε-neutrosophic N -subsemigroup, and neutrosophic N -product.
Neutrosophic Triplet Structures, Volume I
In this chapter, a different outperforming access for MCDM problems is recommended to approach positions pointing with in each cluster of numbers in the absolute system interval and unequitable a definitive number among a bipolar neutrosophic set. Mostly, the procedures of inter-valued bipolar neutrosophic sets and their associated characters are imported. Formerly certain outperforming similarities for inter-valued bipolar neutrosophic numbers (IVBNNs) are described depend on ELECTRE, and the characters of the outperforming similarities are farther considered definitely. Furthermore, depend on the outperforming similarities of IVBNSs, a ranking approach is advanced that one may clarify MCDM problems.
