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How To Balance Intuitive And Analytical Functions Of Brain: A Neutrosophic Way Of Scientific Discovery Process, Florentin Smarandache, Victor Christianto, Robert Neil Boyd Jan 2019

How To Balance Intuitive And Analytical Functions Of Brain: A Neutrosophic Way Of Scientific Discovery Process, Florentin Smarandache, Victor Christianto, Robert Neil Boyd

Branch Mathematics and Statistics Faculty and Staff Publications

Initially this article stems from our discussion on math and mysticism, inspired by an article by Ralph Abraham. But it becomes a discussion on the role of intuition and inspiration in scientific discovery process. Hopefully this article will help anyone who aspires to be good scientists or engineers.


Nidus Idearum. Scilogs, Vi: Annotations On Neutrosophy, Florentin Smarandache Jan 2019

Nidus Idearum. Scilogs, Vi: Annotations On Neutrosophy, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

My lab[oratory] is a virtual facility with non-controlled conditions in which I mostly perform scientific meditation and chats: a nest of ideas (nidus idearum, in Latin). I called the jottings herein scilogs (truncations of the words scientific, and gr. Λόγος – appealing rather to its original meanings "ground", "opinion", "expectation"), combining the welly of both science and informal (via internet) talks (in English, French, and Romanian). * In this sixth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, referring to topics on NEUTROSOPHY – email messages to research colleagues, or …


Nidus Idearum. Scilogs, V: Joining The Dots, Florentin Smarandache Jan 2019

Nidus Idearum. Scilogs, V: Joining The Dots, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

My lab[oratory] is a virtual facility with noncontrolled conditions in which I mostly perform scientific meditation and chats: a nest of ideas (nidus idearum, in Latin). I called the jottings herein scilogs (truncations of the words scientific, and gr. Λόγος – appealing rather to its original meanings "ground", "opinion", "expectation"), combining the welly of both science and informal (via internet) talks (in English, French, and Romanian). * In this fifth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, mostly referring to topics on NEUTROSOPHY – email messages to research colleagues, …


A Short Remark On Gödel Incompleteness Theorem And Its Self-Referential Paradox From Neutrosophic Logic Perspective, Florentin Smarandache, Victor Christianto Jan 2019

A Short Remark On Gödel Incompleteness Theorem And Its Self-Referential Paradox From Neutrosophic Logic Perspective, Florentin Smarandache, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

It is known from history of mathematics, that Gödel submitted his two incompleteness theorems, which can be considered as one of hallmarks of modern mathematics in 20th century. Here we argue that Gödel incompleteness theorem and its self-referential paradox have not only put Hilbert’s axiomatic program into question, but he also opened up the problem deep inside the then popular Aristotelian Logic. Although there were some attempts to go beyond Aristotelian binary logic, including by Lukasiewicz’s three-valued logic, here we argue that the problem of self-referential paradox can be seen as reconcilable and solvable from Neutrosophic Logic perspective. Motivation of …


Special Issue: Algebraic Structures Of Neutrosophic Triplets, Neutrosophic Duplets, Or Neutrosophic Multisets, Vol. Ii, Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali Jan 2019

Special Issue: Algebraic Structures Of Neutrosophic Triplets, Neutrosophic Duplets, Or Neutrosophic Multisets, Vol. Ii, Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.


Plithogenic Fuzzy Whole Hypersoft Set, Construction Of Operators And Their Application In Frequency Matrix Multi Attribute Decision Making Technique, Florentin Smarandache, Shazia Rana, Madiha Qayyum, Muhammad Saeed, Bakhtawar Ali Khan Jan 2019

Plithogenic Fuzzy Whole Hypersoft Set, Construction Of Operators And Their Application In Frequency Matrix Multi Attribute Decision Making Technique, Florentin Smarandache, Shazia Rana, Madiha Qayyum, Muhammad Saeed, Bakhtawar Ali Khan

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, initially a matrix representation of Plithogenic Hypersoft Set (PHSS) is introduced and then with the help of this matrix some local operators for Plithogenic Fuzzy Hypersoft set (PFHSS) are developed. These local operators are used to generalize PFHSS to Plithogenic Fuzzy Whole Hypersoft set (PFWHSS). The generalized PFWHSS set is hybridization of Fuzzy Hypersoft set (which represent multiattributes and their subattributes as a combined whole membership i.e. case of having an exterior view of the event) and the Plithogenic Fuzzy Hypersoft set (in which multi attributes and their subattributes are represented with individual memberships case of having …


On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar Jan 2019

On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar

Branch Mathematics and Statistics Faculty and Staff Publications

Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set (SR-set) by using pairwise SR-approximations. We define SR-open set, SR-closed sets, SR-closure, SR-interior,SR-neighborhood,SR-bases, product topology onSR-sets, continuous mapping, and compactness in soft rough topological space (SRTS). The developments of the theory onSR-set and SR-topology exhibit not only an important theoretical value but also represent significant applications ofSR-sets. We applied an algorithm based onSR-set to multi-attribute group decision making (MAGDM) to deal with uncertainty.


Improvement Of The Material’S Mechanical Characteristics Using Intelligent Real Time Control Interfaces In Hfc Hardening Process, Florentin Smarandache, Luige Vladareanu, Mihaiela Iliescu, Victor Vladareanu, Alexandru Gal, Octavian Melinte, Adrian Margean Jan 2019

Improvement Of The Material’S Mechanical Characteristics Using Intelligent Real Time Control Interfaces In Hfc Hardening Process, Florentin Smarandache, Luige Vladareanu, Mihaiela Iliescu, Victor Vladareanu, Alexandru Gal, Octavian Melinte, Adrian Margean

Branch Mathematics and Statistics Faculty and Staff Publications

The paper presents Intelligent Control (IC) Interfaces for real time control of mechatronic systems applied to Hardening Process Control (HPC) in order to improvement of the material’s mechanical characteristics. Implementation of IC laws in the intelligent real time control interfaces depends on the particular circumstances of the models characteristics used and the exact definition of optimization problem. The results led to the development of the IC interfaces in real time through Particle Swarm Optimization (PSO) and neural networks (NN) using off- line the regression methods.


A Bipolar Fuzzy Extension Of The Multimoora Method, Florentin Smarandache, Dragisa Stanujkic, Darjan Karabasevic, Edmundas Kazimieras Zavadskas, Willem Brauer Jan 2019

A Bipolar Fuzzy Extension Of The Multimoora Method, Florentin Smarandache, Dragisa Stanujkic, Darjan Karabasevic, Edmundas Kazimieras Zavadskas, Willem Brauer

Branch Mathematics and Statistics Faculty and Staff Publications

The aim of this paper is to make a proposal for a new extension of the MULTIMOORA method extended to deal with bipolar fuzzy sets. Bipolar fuzzy sets are proposed as an extension of classical fuzzy sets in order to enable solving a particular class of decision-making problems. Unlike other extensions of the fuzzy set of theory, bipolar fuzzy sets introduce a positive membership function, which denotes the satisfaction degree of the element x to the property corresponding to the bipolar-valued fuzzy set, and the negative membership function, which denotes the degree of the satisfaction of the element x to …


Tripleta De Estructura Neutrosófica Y Tripleta De Estructura Neutrosófica Extendida, Florentin Smarandache Jan 2019

Tripleta De Estructura Neutrosófica Y Tripleta De Estructura Neutrosófica Extendida, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

En el presente estudio se realiza una revisión de las tripletas de estructura neutrosófica y tripleta de estructura neutrosófica extendida, con el fin de introducir nuevos conceptos a emplear en trabajos futuros.


Blockchain Single And Interval Valued Neutrosophic Graphs, D. Nagarajan, M. Lathamaheswari, Said Broumi, J. Kavikumar Jan 2019

Blockchain Single And Interval Valued Neutrosophic Graphs, D. Nagarajan, M. Lathamaheswari, Said Broumi, J. Kavikumar

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Soft Topological K-Algebras, Muhammad Akram, Hina Gulzar, Florentin Smarandache Jan 2019

Neutrosophic Soft Topological K-Algebras, Muhammad Akram, Hina Gulzar, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Use Of Neutrosophy To Analyze Problems Related To The Joint Custody Of Children And Adolescents After Marriage Dissolution, Alipio Absalón Cadena Posso, Carlos Javier Lizcano Chapeta, Miguel Leonardo Sola Iñiguez, Alex Fernando Gómez Gordillo Jan 2019

Use Of Neutrosophy To Analyze Problems Related To The Joint Custody Of Children And Adolescents After Marriage Dissolution, Alipio Absalón Cadena Posso, Carlos Javier Lizcano Chapeta, Miguel Leonardo Sola Iñiguez, Alex Fernando Gómez Gordillo

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic General Finite Automata, J. Kavikumar, D. Nagarajan, Said Broumi, Florentin Smarandache Jan 2019

Neutrosophic General Finite Automata, J. Kavikumar, D. Nagarajan, Said Broumi, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Project Evaluation And Review Techniques, M. Mullai, R. Surya Jan 2019

Neutrosophic Project Evaluation And Review Techniques, M. Mullai, R. Surya

Neutrosophic Sets and Systems

No abstract provided.


On Some Similarity Measures Of Single Valued Neutrosophic Rough Sets, K. Mohana, M. Mohanasundari Jan 2019

On Some Similarity Measures Of Single Valued Neutrosophic Rough Sets, K. Mohana, M. Mohanasundari

Neutrosophic Sets and Systems

No abstract provided.


Full Issue, Neutrosophic Sets And Systems Jan 2019

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Ideal Of Subtraction Algebras, Chul Hwan Park Jan 2019

Neutrosophic Ideal Of Subtraction Algebras, Chul Hwan Park

Neutrosophic Sets and Systems

No abstract provided.


A Neutrosophic Technique Based Efficient Routing Protocol For Manet Based On Its Energy And Distance, Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache Jan 2019

A Neutrosophic Technique Based Efficient Routing Protocol For Manet Based On Its Energy And Distance, Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Constant Single Valued Neutrosophic Graphs With Applications, Naeem Jan, Lemnaouar Zedam, Tahir Mahmood, Kifayat Ullah Jan 2019

Constant Single Valued Neutrosophic Graphs With Applications, Naeem Jan, Lemnaouar Zedam, Tahir Mahmood, Kifayat Ullah

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic B*Gα-Closed Sets, S. Saranya, M. Vigneshwaran Jan 2019

Neutrosophic B*Gα-Closed Sets, S. Saranya, M. Vigneshwaran

Neutrosophic Sets and Systems

No abstract provided.


Neutrosophic Modifications Of Simplified Topsis For Imperfect Information (Ns-Topsis), Azeddine Elhassouny, Florentin Smarandache Jan 2019

Neutrosophic Modifications Of Simplified Topsis For Imperfect Information (Ns-Topsis), Azeddine Elhassouny, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


A Multi Objective Programming Approach To Solve Integer Valued Neutrosophic Shortest Path Problems, Ranjan Kumar, S A. Edalatpanah, Sripati Jha, Said Broumi Jan 2019

A Multi Objective Programming Approach To Solve Integer Valued Neutrosophic Shortest Path Problems, Ranjan Kumar, S A. Edalatpanah, Sripati Jha, Said Broumi

Neutrosophic Sets and Systems

No abstract provided.


Behaviour Of Ring Ideal In Neutrosophic And Soft Sense, Tuhin Bera, Said Broumi, Nirmal Kumar Mahapatra Jan 2019

Behaviour Of Ring Ideal In Neutrosophic And Soft Sense, Tuhin Bera, Said Broumi, Nirmal Kumar Mahapatra

Neutrosophic Sets and Systems

No abstract provided.


Separation Axioms In Neutrosophic Crisp Topological Spaces, Ahmed B. Al-Nafee, Riad K. Al-Hamido, Florentin Smarandache Jan 2019

Separation Axioms In Neutrosophic Crisp Topological Spaces, Ahmed B. Al-Nafee, Riad K. Al-Hamido, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.


Full Issue, Neutrosophic Sets And Systems Jan 2019

Full Issue, Neutrosophic Sets And Systems

Neutrosophic Sets and Systems

No abstract provided.


Some Operators With Ivgsvtrn-Numbers And Their Applications To Multiple Criteria Group Decision Making, Irfan Deli Jan 2019

Some Operators With Ivgsvtrn-Numbers And Their Applications To Multiple Criteria Group Decision Making, Irfan Deli

Neutrosophic Sets and Systems

No abstract provided.


Single Valued (2n+1) Sided Polygonal Neutrosophic Numbers And Single Valued (2n) Sided Polygonal Neutrosophic Numbers, Said Broumi, Mullai Murugappan, Mohamed Talea, Assia Bakali Jan 2019

Single Valued (2n+1) Sided Polygonal Neutrosophic Numbers And Single Valued (2n) Sided Polygonal Neutrosophic Numbers, Said Broumi, Mullai Murugappan, Mohamed Talea, Assia Bakali

Neutrosophic Sets and Systems

No abstract provided.


Interval Neutrosophic Vague Sets, Hazwani Hashim, Lazim Abdullah, Ashraf Al-Quran Jan 2019

Interval Neutrosophic Vague Sets, Hazwani Hashim, Lazim Abdullah, Ashraf Al-Quran

Neutrosophic Sets and Systems

No abstract provided.


Generalised Single Valued Neutrosophic Number And Its Application To Neutrosophic Linear Programming, Tuhin Bera, Nirmal Kumar Mahapatra Jan 2019

Generalised Single Valued Neutrosophic Number And Its Application To Neutrosophic Linear Programming, Tuhin Bera, Nirmal Kumar Mahapatra

Neutrosophic Sets and Systems

No abstract provided.