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Fuzzy Abel Grassmann Groupoids, Florentin Smarandache, Madad Khan, Tariq Aziz

Branch Mathematics and Statistics Faculty and Staff Publications

Usually the models of real world problems in almost all disciplines like engineering, medical sciences, mathematics, physics, computer science, management sciences, operations research and articial intelligence are mostly full of complexities and consist of several types of uncertainties while dealing them in several occasion. To overcome these di¢ culties of uncertainties, many theories have been developed such as rough sets theory, probability theory, fuzzy sets theory, theory of vague sets, theory of soft ideals and the theory of intuitionistic fuzzy sets, theory of neutrosophic sets, Dezert-Smarandache Theory (DSmT), etc. Zadeh introduced the degree of membership/truth (t) in 1965 and dened …

Theory Of Abel Grassmann's Groupoids, Florentin Smarandache, Madad Khan

Branch Mathematics and Statistics Faculty and Staff Publications

It is common knowledge that common models with their limited boundaries of truth and falsehood are not su¢ cient to detect the reality so there is a need to discover other systems which are able to address the daily life problems. In every branch of science problems arise which abound with uncertainties and impaction. Some of these problems are related to human life, some others are subjective while others are objective and classical methods are not su¢ cient to solve such problems because they can not handle various ambiguities involved. To overcome this problem, Zadeh [67] introduced the concept of …

Α-Discounting Method For Multi-Criteria Decision Making (Α-D Mcdm), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book we introduce a new procedure called αDiscounting Method for Multi-Criteria Decision Making (α-D MCDM), which is as an alternative and extension of Saaty’s Analytical Hierarchy Process (AHP). It works for any number of preferences that can be transformed into a system of homogeneous linear equations. A degree of consistency (and implicitly a degree of inconsistency) of a decision-making problem are defined. α-D MCDM is afterwards generalized to a set of preferences that can be transformed into a system of linear and/or non-linear homogeneous and/or nonhomogeneous equations and/or inequalities. Many consistent, weak inconsistent, and strong inconsistent examples are …

Readup Buildup. Thync - Instant Α-Readings, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Uncertainty Communication Solution In Neutrosophic Key, Florentin Smarandache, Bianca Tedorescu, Mirela Teodorescu

Branch Mathematics and Statistics Faculty and Staff Publications

This study is the first step of a research that points out the solving of uncertainties in process analysis. The research is based on Neutrosophy Theory (Smarandache, 1995), a new concept of states treatment with a generous applicability to sciences, like artificial intelligence (Vladareanu et al, 2014).

Quaestiones Neutrosophicae, Florentin Smarandache, Yale Landsberg

Branch Mathematics and Statistics Faculty and Staff Publications

The following dialogue contains cuts from different non-protocolar conversations, initially not intended for publication, held by the authors by email during the beginning of 2015 – on Neutrosophy and related topics.

Many thanks to all friends and dialogue partners who payed attention to Neutrosophy and connected areas, in emails, yahoo groups, social media, letters, private discussions.

N-Valued Interval Neutrosophic Sets And Their Application In Medical Diagnosis, Said Broumi, Irfan Deli, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truthfavorite and false-favorite. Then, some distances between n-valued interval neutrosophic sets (NVINS) are proposed. Also, we propose an efficient approach for group multi-criteria decision making based on n-valued interval neutrosophic sets. An application of n-valued interval neutrosophic sets in medical diagnosis problem is given.

(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

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

Neutrosophic Sets and Systems

No abstract provided.

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

Neutrosophic Sets and Systems

No abstract provided.

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

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

Neutrosophic Sets and Systems

No abstract provided.

Interval Neutrosophic Rough Set, Said Broumi, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

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

Neutrosophic Sets and Systems

No abstract provided.

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

Neutrosophic Sets and Systems

No abstract provided.

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

Neutrosophic Sets and Systems

No abstract provided.

(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

Neutrosophic Sets and Systems

No abstract provided.

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

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

Neutrosophic Sets and Systems

No abstract provided.

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

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

Neutrosophic Sets and Systems

No abstract provided.