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(T, I, F)-Neutrosophic Structures, Florentin Smarandache Jan 2015

(T, I, F)-Neutrosophic Structures, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper we introduce for the first time a new type of structures, called (T, I, F)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we show particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy, that structure is a (T, I, F)-Neutrosophic Structure.


Neutrosophic Axiomatic System, Florentin Smarandache Jan 2015

Neutrosophic Axiomatic System, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Axiomatic System, Neutrosophic Deducibility and Neutrosophic Inference, Neutrosophic Proof, Neutrosophic Tautologies, Neutrosophic Quantifiers, Neutrosophic Propositional Logic, Neutrosophic Axiomatic Space, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, and Neutrosophic Model. A class of neutrosophic implications is also introduced. A comparison between these innovatory neutrosophic notions and their corresponding classical notions is made. Then, three concrete examples of neutrosophic axiomatic systems, describing the same neutrosophic geometrical model, are presented at the end of the paper.


Rough Neutrosophic Multi-Attribute Decision-Making Based On Rough Accuracy Score Function, Kalyan Mondal, Surapati Pramanik Jan 2015

Rough Neutrosophic Multi-Attribute Decision-Making Based On Rough Accuracy Score Function, Kalyan Mondal, Surapati Pramanik

Neutrosophic Sets and Systems

No abstract provided.


Hypercomplex Neutrosophic Similarity Measure & Its Application In Multicriteria Decision Making Problem, Kanika Mandal, Kajla Basu Jan 2015

Hypercomplex Neutrosophic Similarity Measure & Its Application In Multicriteria Decision Making Problem, Kanika Mandal, Kajla Basu

Neutrosophic Sets and Systems

No abstract provided.


Modeling And Analyzing Non-Functional Requirements Interdependencies With Neutrosophic Logic, Ameirys Betancourt-Vázquez, Karina Pérez-Teruel, Maikel Leyva-Vázquez Jan 2015

Modeling And Analyzing Non-Functional Requirements Interdependencies With Neutrosophic Logic, Ameirys Betancourt-Vázquez, Karina Pérez-Teruel, Maikel Leyva-Vázquez

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Actions, Prevalence Order, Refinement Of Neutrosophic Entities, And Neutrosophic Literal Logical Operators, Florentin Smarandache Jan 2015

Neutrosophic Actions, Prevalence Order, Refinement Of Neutrosophic Entities, And Neutrosophic Literal Logical Operators, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Rough Neutrosophic Multi-Attribute Decision-Making Based On Grey Relational Analysis, Kalyan Mondal, Surapati Pramanik Jan 2015

Rough Neutrosophic Multi-Attribute Decision-Making Based On Grey Relational Analysis, Kalyan Mondal, Surapati Pramanik

Neutrosophic Sets and Systems

No abstract provided.


Basic Structure Of Some Classes Of Neutrosophic Crisp Nearly Open Sets & Possible Application To Gis Topology, A. Salama Jan 2015

Basic Structure Of Some Classes Of Neutrosophic Crisp Nearly Open Sets & Possible Application To Gis Topology, A. Salama

Neutrosophic Sets and Systems

No abstract provided.


Interval Neutrosophic Rough Set, Said Broumi, Florentin Smarandache Jan 2015

Interval Neutrosophic Rough Set, Said Broumi, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Examples Of Neutrosophic Probability In Physics, Fu Yuhua Jan 2015

Examples Of Neutrosophic Probability In Physics, Fu Yuhua

Neutrosophic Sets and Systems

No abstract provided.


A New Approach To Multi-Spaces Through The Application Of Soft Sets, Mumtaz Ali, Florentin Smarandache, Said Broumi Jan 2015

A New Approach To Multi-Spaces Through The Application Of Soft Sets, Mumtaz Ali, Florentin Smarandache, Said Broumi

Neutrosophic Sets and Systems

No abstract provided.


The Neutrosophic Entropy And Its Five Components, Vasile Patrascu Jan 2015

The Neutrosophic Entropy And Its Five Components, Vasile Patrascu

Neutrosophic Sets and Systems

No abstract provided.


Algebraic Structures Of Neutrosophic Soft Sets, Asim Hussain, Muhammad Shabir Jan 2015

Algebraic Structures Of Neutrosophic Soft Sets, Asim Hussain, Muhammad Shabir

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Decision Making Model Of School Choice, Kalyan Mondal, Surapati Pramanik Jan 2015

Neutrosophic Decision Making Model Of School Choice, Kalyan Mondal, Surapati Pramanik

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic La-Semigroup Rings, Mumtaz Ali, Muhammad Shabir, Florentin Smarandache Jan 2015

Neutrosophic La-Semigroup Rings, Mumtaz Ali, Muhammad Shabir, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


(T,I,F)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited), Florentin Smarandache Jan 2015

(T,I,F)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited), Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Expanding Uncertainty Principle To Certainty-Uncertainty Principles With Neutrosophy And Quad-Stage Method, Fu Yuhua Jan 2015

Expanding Uncertainty Principle To Certainty-Uncertainty Principles With Neutrosophy And Quad-Stage Method, Fu Yuhua

Neutrosophic Sets and Systems

No abstract provided.


Full Issue, Neutrosophic Sets And Systems Jan 2015

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.


An Extended Topsis Method For Multiple Attribute Decision Making Based On Interval Neutrosophic Uncertain Linguistic Variables, Said Broumi, Jun Ye, Florentin Smarandache Jan 2015

An Extended Topsis Method For Multiple Attribute Decision Making Based On Interval Neutrosophic Uncertain Linguistic Variables, Said Broumi, Jun Ye, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Cosine Similarity Measure Based Multi-Attribute Decision-Making With Trapezoidal Fuzzy Neutrosophic Numbers, Pranab Biswas, Surapati Pramanik, Bibhas C. Giri Jan 2015

Cosine Similarity Measure Based Multi-Attribute Decision-Making With Trapezoidal Fuzzy Neutrosophic Numbers, Pranab Biswas, Surapati Pramanik, Bibhas C. Giri

Neutrosophic Sets and Systems

No abstract provided.


Thesis-Antithesis-Neutrothesis And Neutrosynthesis, Florentin Smarandache Jan 2015

Thesis-Antithesis-Neutrothesis And Neutrosynthesis, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Negating Four Color Theorem With Neutrosophy And Quadstage Method, Fu Yuhua Jan 2015

Negating Four Color Theorem With Neutrosophy And Quadstage Method, Fu Yuhua

Neutrosophic Sets and Systems

No abstract provided.


A New Method Of Measuring Similarity Between Two Neutrosophic Soft Sets And Its Application In Pattern Recognition Problems, Anjan Mukherjee, Sadhan Sarkar Jan 2015

A New Method Of Measuring Similarity Between Two Neutrosophic Soft Sets And Its Application In Pattern Recognition Problems, Anjan Mukherjee, Sadhan Sarkar

Neutrosophic Sets and Systems

No abstract provided.


Interpreting And Expanding Confucius' Golden Mean Through Neutrosophic Tetrad, Fu Yuhua Jan 2015

Interpreting And Expanding Confucius' Golden Mean Through Neutrosophic Tetrad, Fu Yuhua

Neutrosophic Sets and Systems

No abstract provided.


Full Issue, Neutrosophic Sets And Systems Jan 2015

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.


Interval Neutrosophic Multi-Attribute Decision-Making Based On Grey Relational Analysis, Surapati Pramanik, Kalyan Mondal Jan 2015

Interval Neutrosophic Multi-Attribute Decision-Making Based On Grey Relational Analysis, Surapati Pramanik, Kalyan Mondal

Neutrosophic Sets and Systems

No abstract provided.


Ideological Systems And Its Validation: A Neutrosophic Approach, Josue Nescolarde-Selva, Jose Luis Uso-Domenech Jan 2015

Ideological Systems And Its Validation: A Neutrosophic Approach, Josue Nescolarde-Selva, Jose Luis Uso-Domenech

Neutrosophic Sets and Systems

No abstract provided.


On Entropy And Similarity Measure Of Interval Valued Neutrosophic Sets, Ali Aydogdu Jan 2015

On Entropy And Similarity Measure Of Interval Valued Neutrosophic Sets, Ali Aydogdu

Neutrosophic Sets and Systems

No abstract provided.


Topological Structures Of Fuzzy Neutrosophic Rough Sets, C. Antony Crispin Sweety, I. Arockiarani Jan 2015

Topological Structures Of Fuzzy Neutrosophic Rough Sets, C. Antony Crispin Sweety, I. Arockiarani

Neutrosophic Sets and Systems

No abstract provided.


Refined Literal Indeterminacy And The Multiplication Law Of Sub-Indeterminacies, Florentin Smarandache Jan 2015

Refined Literal Indeterminacy And The Multiplication Law Of Sub-Indeterminacies, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.