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Neutrosophic Triplet Groups And Their Applications To Mathematical Modelling, Florentin Smarandache, W.B. Vasantha Kandasamy, Ilanthenral K.

Branch Mathematics and Statistics Faculty and Staff Publications

The innovative notion of neutrosophic triplet groups, introduced by Smarandache and Ali in 2014-2016, happens to yield the anti-element and neutral element once the element is given. It is established that the neutrosophic triplet group collection forms the classical group under product for Zn, for some specific n. However the collection is not even closed under sum. These neutrosophic triplet groups are built using only modulo integers or Cayley tables. Several interesting properties related with them are defined. It is pertinent to record that in Zn, when n is a prime number, we cannot get a neutral element which can …

Generalized Interval Valued Neutrosophic Graphs Of First Type, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali, Ali Hassan

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, motivated by the notion of generalized single valued neutrosophic graphs of first type, we defined a new neutrosophic graphs named generalized interval valued neutrosophic graphs of first type (GIVNG1) and presented a matrix representation for it and studied few properties of this new concept. The concept of GIVNG1 is an extension of generalized fuzzy graphs (GFG1) and generalized single valued neutrosophic of first type (GSVNG1).

A Lattice Theoretic Look: A Negated Approach To Adjectival (Intersective, Neutrosophic And Private) Phrases, Florentin Smarandache, Selcuk Topal

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Computation Of Shortest Path Problem In A Network With Sv-Triangular Neutrosophic Numbers, Florentin Smarandache, Said Broumi, Assia Bakali, Mohamed Talea

Branch Mathematics and Statistics Faculty and Staff Publications

In this article, we present an algorithm method for finding the shortest path length between a paired nodes on a network where the edge weights are characterized by single valued triangular neutrosophic numbers. The proposed algorithm gives the shortest shortest path length from source node to destination node based on a ranking method. Finally, a numerical example is also presented to illustrate the efficiency of the proposed approach.

An Operational View In Computational Construction Of Information, Florentin Smarandache, Stefan Vladutescu, Constantin Dima, Valeriu Voinea

Branch Mathematics and Statistics Faculty and Staff Publications

The paper aims to explain the technology of emergence of information. Our research proves that information as communicational product is the result of processing within some operations, actions, mechanisms and strategies of informational material meanings. Are determined eight computational-communicative operations of building information. Information occurs in two communication phases, syncretic and the segregation-synthetic. The syncretic phase consists of four operations: referral of significant field, primary delimitation of information, detection-looking information and an anticipative-draft constitution (feedforward). The segregation-synthetic phase also includes four operations: discrimination, identification, interpretation and confrontation (feedback). In the future we will investigate informational actions, mechanisms and strategies.

Multicriteria Decision Making Using Double Refined Indeterminacy Neutrosophic Cross Entropy And Indeterminacy Based Cross Entropy, Ilanthenral Kandasamy, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Double Refined Indeterminacy Neutrosophic Set (DRINS) is an inclusive case of the refined neutrosophic set, defined by Smarandache [1], which provides the additional possibility to represent with sensitivity and accuracy the uncertain, imprecise, incomplete, and inconsistent information which are available in real world.

More precision is provided in handling indeterminacy; by classifying indeterminacy (I) into two, based on membership; as indeterminacy leaning towards truth membership (IT ) and indeterminacy leaning towards false membership (IF ). This kind of classification of indeterminacy is not feasible with the existing Single Valued Neutrosophic Set (SVNS), but it is a particular case of the …

Special Types Of Bipolar Single Valued Neutrosophic Graphs, Ali Hassan, Muhammad Aslam Malik, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs. In this paper we introduce some types of BSVNGs, such as subdivision BSVNGs, middle BSVNGs, total BSVNGs and bipolar single valued neutrosophic line graphs (BSVNLGs), also investigate the isomorphism, co weak isomorphism and weak isomorphism properties of subdivision BSVNGs, middle BSVNGs, total BSVNGs and BSVNLGs.

Hyperuncertain, Superuncertain, And Superhyperuncertain Sets/Logics/Probabilities/Statistics, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we define for the first time the HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics, the classical case (when the appurtenance degree of a generic element belongs to the unit interval [0, 1]), and the non-classical case (when the appurtenance degree of a generic element is outside on the interval [0, 1]; such theories are called Over/Under/Off-Sets/Logics/Probabilities/Statistics). We prove that the Unary SuperHyperFunction is a generalization of all Uncertain Sets/Logics/Probabilities.

Topological Manifold Space Via Neutrosophic Crisp Set Theory, A.A. Salama, Hewayda Elghawalby, Shimaa Fathi Ali

Neutrosophic Sets and Systems

No abstract provided.

Multi-Objective Structural Design Optimization Using Neutrosophic Goal Programming Technique, Mridula Sarkar, Samir Dey, Tapan Kumar Roy

Neutrosophic Sets and Systems

No abstract provided.

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Graphs Of Finite Groups, T. Chalapathi, R. V. M. S. S. Kiran Kumar

Neutrosophic Sets and Systems

No abstract provided.

A New Similarity Measure Based On Falsity Value Between Single Valued Neutrosophic Sets Based On The Centroid Points Of Transformed Single Valued Neutrosophic Values With Applications To Pattern Recognition, Mehmet Sahin, Necati Olgun, Vakkas Ulucay, Abdullah Kargin

Neutrosophic Sets and Systems

No abstract provided.

Multi-Criteria Assignment Techniques In Multi-Dimensional Neutrosophic Soft Set Theory, Tanushree Mitra Basu, Shyamal Kumar Mondal

Neutrosophic Sets and Systems

No abstract provided.

Gra For Multi Attribute Decision Making In Neutrosophic Cubic Set Environment, Durga Banerjee, Bibhas C. Giri, Surapati Pramanik, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

Bipolar Neutrosophic Projection Based Models For Solving Multi-Attribute Decision-Making Problems, Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Modal Logic, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

Bezier Curve Modeling For Neutrosophic Data Problem, Ferhat Tas, Selcuk Topal

Neutrosophic Sets and Systems

No abstract provided.

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.

On Some New Notions And Functions In Neutrosophic Topological Spaces, I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Baire Spaces, R. Dhavaseelan, S. Jafari, R. Narmada Devi, Md. Hanif Page

Neutrosophic Sets and Systems

No abstract provided.

A Knowledge-Based Recommendation Framework Using Svn Numbers, R. Cabezas Padilla, J. Gonzalez Ruiz, M. Villegas Alava, Maikel Y. Leyva Vazquez

Neutrosophic Sets and Systems

No abstract provided.

Compact Open Topology And Evaluation Map Via Neutrosophic Sets, R. Dhavaseelan, S. Jafari, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

On Neutrosophic Semi-Supra Open Set And Neutrosophic Semi-Supra Continuous Functions, R. Dhavaseelan, M. Parimala, S. Jafari, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Cubic Mcgdm Method Based On Similarity Measure, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Crisp Mathematical Morphology, Eman M. El-Nakeeb, Hewayda Elghawalby, A.A. Salama, S. A. El-Hafeez

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Rough Soft Set - A Decision Making Approach To Appendicitis Problem, Kanika Bhutani, Swati Aggarwal

Neutrosophic Sets and Systems

No abstract provided.

Rough Neutrosophic Multisets, Suriana Alias, Daud Mohamad, Adibah Shuib

Neutrosophic Sets and Systems

No abstract provided.

Competencies Interdepencies Analysis Based On Neutrosophic Cognitive Mapping, E. J. Henriquez Antepara, J. E. Arizaga Gamboa, M. R. Campoverde Mendez, M. E. Pena Gonzalez

Neutrosophic Sets and Systems

No abstract provided.

Support-Neutrosophic Set: A New Concept In Soft Computing, Nguyen Xuan Thao, Florentin Smarandache, Nguyen Van Dinh

Neutrosophic Sets and Systems

No abstract provided.