Author : W B Vasantha Kandasamy
Publisher : Infinite Study
Page : 234 pages
File Size : 15,35 MB
Release : 2016
Category : Algebras, Linear
ISBN : 1599733803
In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 362 pages
File Size : 23,69 MB
Release : 2016
Category :
ISBN : 1599734850
In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 263 pages
File Size : 28,67 MB
Release :
Category :
ISBN :
In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 188 pages
File Size : 33,81 MB
Release : 2015
Category : Neutrosophic logic
ISBN : 1599733668
The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 245 pages
File Size : 46,71 MB
Release :
Category : Mathematics
ISBN : 1599735644
Authors in this book study the notion of Smarandache element in multiset semigroups. It is important to keep on record that we define four operations on multisets viz. +, X, union and intersection in a free way. Thus all sets finite or infinite order contribute to infinite order multisets and the semigroup under any of these operations is of infinite order.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 278 pages
File Size : 21,46 MB
Release :
Category :
ISBN : 1599734907
In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 280 pages
File Size : 28,17 MB
Release :
Category :
ISBN : 159973463X
In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 225 pages
File Size : 32,38 MB
Release :
Category :
ISBN : 1599734621
In this book authors for the first time introduce new mathematical models analogous to Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognitive Maps (NCMs) models. Several types of MOD Cognitive Maps models are constructed in this book. They are MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive Maps model, and MOD special quasi dual number Cognitive Maps model.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 31,7 MB
Release : 2016-11-12
Category : Mathematics
ISBN : 1599734680
This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 350 pages
File Size : 43,82 MB
Release :
Category :
ISBN : 1599734699
In this book the authors for the first time introduce, study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs, and MOD directed natural neutrosophic graphs. There are open conjectures that can help researchers in the graph theory.
