Nidus Idearum. Scilogs, XIII: Structure / NeutroStructure / AntiStructure

Nidus Idearum. Scilogs, XIII: Structure / NeutroStructure / AntiStructure
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 98
Release: 2024-01-01
Genre: Mathematics
ISBN:

In this thirteenth book of scilogs – one may find topics on Neutrosophy, Plithogeny, Physics, Mathematics, Philosophy – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and so on. It presents new types of soft sets and new types of topologies. Exchanging ideas with Mohammad Abobala, Ishfaq Ahmad, Ibrahim M. Almanjahie, Fatimah Alshahrani, Nizar Altounji, Muhammad Aslam, Said Broumi, Victor Christianto, R. Diksh, Feng Liu, Frank Julian Gelli, Erick Gonzalez Caballero, Riad Hamido, Yaser Al-Hasan, Ahmed Hatip, Yasin Karmouta, Nivetha Martin, Preda Mihăilescu, V. Lakshmana Gomathi Nayagam, Ze Carlos Tiago de Oliveira, Alexey Platonov, Andrei Pogany, Shakti Prasad, Ranulfo Paiva Barbosa (Sobrinho), Dmitri Rabounski, Ackbar Rezaei, Constantin Sandu, A. Saraswathi, Usman Shahzad, Gocho V. Sharlanov, Stefan Spaarmann, Michael Voskoglou, Vinay Kumar Yadav, Tomasz Witczak, William H. Woodall, Mircea Zărnescu, Mohamed Bisher Zeina (in order of reference in the book).

Nidus Idearum. Scilogs, XIV: SuperHyperAlgebra

Nidus Idearum. Scilogs, XIV: SuperHyperAlgebra
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 101
Release: 2024-01-01
Genre: Mathematics
ISBN:

In this fourteenth book of scilogs – one may find topics on examples where neutrosophics works and others don’t, law of included infinitely-many-middles, decision making in games and real life through neutrosophic lens, sociology by neutrosophic methods, Smarandache multispace, algebraic structures using natural class of intervals, continuous linguistic set, cyclic neutrosophic graph, graph of neutrosophic triplet group , how to convert the crisp data to neutrosophic data, n-refined neutrosophic set ranking, adjoint of a square neutrosophic matrix, neutrosophic optimization, de-neutrosophication, the n-ary soft set relationship, hypersoft set, extending the hypergroupoid to the superhypergroupoid, alternative ranking, Dezert-Smarandache Theory (DSmT), reconciliation between theoretical and market prices, extension of the MASS model by the incorporation of neutrosophic statistics and the DSmT combination rule, conditional probability of actually detecting a financial fraud, neutrosophic extension using DSmT combination rule, probabilistic information content, absolute and relative DSm conditioning rules, example of PCR5 with Zhang’s degree, PCR5 with degree of intersection, the most general form of SuperHyperAlgebra, on Crittenden and Vanden Eynden’s conjecture, use of special types of linear algebras and their generalizations, SuperMathematics, 3D-space in physics, neutrosophic physical laws, neutrosophy as a meta-philosophy, principle of interconvertibility matter-energy-information, neutrosophic philosophical interpretation, possible neutrosophic applications to Indian philosophy and religion, philosophical horizons in neutrosophy, clan capitalism, or artificial intelligence – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and so on. Exchanging ideas with Mirela Teodorescu, Linfan Mao, Shondiin Silversmith, Mumtaz Ali, Vasantha W.B. Kandasamy, V. Lakshmana Gomathi Nayagam, Bharanidharan R., Michael Voskoglou, Said Broumi, Maissam Jdid, Sagvan Y. Musa, Mohammad Hamidi, Yaser Ahmad Alhasan, Nivetha Martin, Mohammad Khoshnevisan, Deqiang Han, Jean Dezert, Mircea Șelariu, Ștefan Vlăduțescu, Tudor Păroiu (in order of reference in the book).

Structure, NeutroStructure, and AntiStructure in Science

Structure, NeutroStructure, and AntiStructure in Science
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 6
Release: 2021-08-01
Genre: Mathematics
ISBN:

In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false. Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that are totally true. The NeutroTheorem and AntiTheorem are generalizations and alternatives of the classical Theorem in any science. More general, by the process of NeutroSophication, we have extended any classical Structure, in no matter what field of knowledge, to some NeutroStructure, and by the process of AntiSophication to some AntiStructure.

Neutrosophy

Neutrosophy
Author: Florentin Smarandache
Publisher:
Total Pages: 110
Release: 1998
Genre: Mathematics
ISBN:

A New Grey Approach for Using SWARA and PIPRECIA Methods in a Group Decision-Making Environment

A New Grey Approach for Using SWARA and PIPRECIA Methods in a Group Decision-Making Environment
Author: Dragisa Stanujkic
Publisher: Infinite Study
Total Pages: 16
Release: 2021-07-01
Genre: Business & Economics
ISBN:

The environment in which the decision-making process takes place is often characterized by uncertainty and vagueness and, because of that, sometimes it is very hard to express the criteria weights with crisp numbers. Therefore, the application of the Grey System Theory, i.e., grey numbers, in this case, is very convenient when it comes to determination of the criteria weights with partially known information. Besides, the criteria weights have a significant role in the multiple criteria decision-making process. Many ordinary multiple criteria decision-making methods are adapted for using grey numbers, and this is the case in this article as well. A new grey extension of the certain multiple criteria decision-making methods for the determination of the criteria weights is proposed. Therefore, the article aims to propose a new extension of the Step-wiseWeight Assessment Ratio Analysis (SWARA) and PIvot Pairwise Relative Criteria Importance Assessment (PIPRECIA) methods adapted for group decision-making.

International Journal of Neutrosophic Science (IJNS) Volume 5, 2020

International Journal of Neutrosophic Science (IJNS) Volume 5, 2020
Author: Broumi Said
Publisher: Infinite Study
Total Pages: 106
Release:
Genre: Mathematics
ISBN:

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.

Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making

Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making
Author: Ahmed Mostafa Khalil
Publisher: Infinite Study
Total Pages: 17
Release: 2020-08-14
Genre: Mathematics
ISBN:

In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented.

On Product of Smooth Neutrosophic Topological Spaces

On Product of Smooth Neutrosophic Topological Spaces
Author: Kalaivani Chandran
Publisher: Infinite Study
Total Pages: 20
Release: 2020-09-21
Genre: Mathematics
ISBN:

In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.

Convex and Concave Hypersoft Sets with Some Properties

Convex and Concave Hypersoft Sets with Some Properties
Author: Atiqe Ur Rahman
Publisher: Infinite Study
Total Pages: 12
Release: 2020-03-01
Genre: Mathematics
ISBN:

Convexity plays an imperative role in optimization, pattern classification and recognition, image processing and many other relating topics in different fields of mathematical sciences like operation research, numerical analysis etc. The concept of soft sets was first formulated by Molodtsov as a completely new mathematical tool for solving problems dealing with uncertainties.

Introduction to Plithogenic Sociogram with preference representations by Plithogenic Number

Introduction to Plithogenic Sociogram with preference representations by Plithogenic Number
Author: Nivetha Martin
Publisher: Infinite Study
Total Pages: 15
Release: 2020-01-01
Genre: Mathematics
ISBN:

This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic and neutrosophic numbers that shall be used in representations of preferences in group dynamics. This research work outlines the conceptual development of these two newly proposed concepts and discusses the merits of the existing theory of similar kind with suitable substantiation.