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Novel Approaches To Image Segmentation Based On Neutrosophic Logic, Ming Zhang

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Neutrosophy studies the origin, nature, scope of neutralities, and their interactions with different ideational spectra. It is a new philosophy that extends fuzzy logic and is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set theory, and neutrosophic statistics.

Because the world is full of indeterminacy, the imperfection of knowledge that a human receives/observes from the external world also causes imprecision. Neutrosophy introduces a new concept , which is the representation of indeterminacy. However, this theory is mostly discussed in physiology and mathematics. Thus, applications to prove this theory can solve real problems are needed.

Image segmentation is the first …

Neutrosophic Physics: More Problems, More Solutions, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

When considering the laws of theoretical physics, one of the physicists says that these laws – the actual expressions of the laws of mathematics and logics being applied to physical phenomena – should be limited according to the physical meaning we attribute to the phenomena. In other word, there is an opinion that a theoretical physicist should put some limitations onto mathematics, in order to “reduce” it to the observed reality. No doubt, we can do it. However, if following this way, we would arrive at only mathematical models of already known physical phenomena. Of course, this might be useful …

Changing Games And Evolving Contexts: Political Bargaining In European Energy Disputes, Fabio Franch

Graduate Theses, Dissertations, and Problem Reports (ETD)

Energy has recently become a very important item on the political agenda of most Western countries; it is bound to be even more so in the future, due to the increasing scarcity of natural gas and oil. With Russia using the energy weapons to advance its economic and political goals, energy security has become a central topic in European politics. Important political bargaining models like game theory can offer valuable insights and contribute to the explanation of the outcome of important political confrontations like the ones between Russia and its former satellites. Game theory, however, fails to adequately account for …

Super Special Codes Using Super Matrices, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral

Branch Mathematics and Statistics Faculty and Staff Publications

The new classes of super special codes are constructed in this book using the specially constructed super special vector spaces. These codes mainly use the super matrices. These codes can be realized as a special type of concatenated codes. This book has four chapters. In chapter one basic properties of codes and super matrices are given. A new type of super special vector space is constructed in chapter two of this book. Three new classes of super special codes namely, super special row code, super special column code and super special codes are introduced in chapter three. Applications of these …

Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers Of Sciences), Vol. Iv, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiments, solved and unsolved problems and conjectures, updated or alternative versions of previous papers, short or long humanistic essays, letters to the editors - all collected in the previous three decades (1980-2010) – but most of them are from the last decade (2000-2010), some of them being lost and found, yet others are extended, diversified, improved versions. This is an eclectic tome of 800 pages with papers …

Neutrosophic Diagram And Classes Of Neutrosophic Paradoxes Or To The Outer-Limits Of Science, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

These paradoxes are called “neutrosophic” since they are based on indeterminacy (or neutrality, i.e. neither true nor false), which is the third component in neutrosophic logic. We generalize the Venn diagram to a Neutrosophic Diagram, which deals with vague, inexact, ambiguous, illdefined ideas, statements, notions, entities with unclear borders. We define the neutrosophic truth table and introduce two neutrosophic operators (neuterization and antonymization operators) give many classes of neutrosophic paradoxes.

Paradoxism’S Manifestos And International Folklore, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The book is structured in two parts as follows:

- in the first part, the theory of paradoxism through its first six published worldwide

manifestos (1983-2010);

- in the second part, the paradoxism collected from the international (English, French,

Spanish/Arabic, and Romanian) folklore in images and paradoxist situations.

PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on

excessive use of antitheses, antinomies, contradictions, parables, odds, anti-clichés, deviations of senses,

against-the-grain speech, nonsense, paraphrases, oxymorons, inversions, digressions, paradoxes,

semiparadoxes, etc. in creations.

It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The …

Single Valued Neutrosophic Sets, Haibin Wang, Florentin Smarandache, Yanqing Zhang, Rajshekhar Sunderraman

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic set is a part of neutrosophy which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophic set is a powerful general formal framework that has been recently proposed. However, neutrosophic set needs to be specified from a technical point of view. To this effect, we define the settheoretic operators on an instance of neutrosophic set, we call it single valued neutrosophic set (SVNS). We provide various properties of SVNS, which are connected to the operations and relations over SVNS.