Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square
Title | Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square PDF eBook |
Author | W. B. Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 223 |
Release | 2014 |
Genre | Algebra |
ISBN | 1599732726 |
In this book authors build algebraic structures on fuzzy unit semi-open square UF = {(a,b), with a, b in [0, 1)} and on neutrosophic unit semi-open square UN = {a+bI, with a, b in [0, 1)}. As distributive laws are not true, we are not in a position to develop several properties of rings, semirigs and linear algebras. Seven open conjectures are proposed.
Collected Papers. Volume IX
Title | Collected Papers. Volume IX PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 1008 |
Release | 2022-05-10 |
Genre | Mathematics |
ISBN |
This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.
The Encyclopedia of Neutrosophic Researchers, 1st volume
Title | The Encyclopedia of Neutrosophic Researchers, 1st volume PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 232 |
Release | 2016-11-12 |
Genre | 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.
Mod Rectangular Natural Neutrosophic Numbers
Title | Mod Rectangular Natural Neutrosophic Numbers PDF eBook |
Author | W. B. Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 263 |
Release | |
Genre | |
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.
Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n))
Title | Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)) PDF eBook |
Author | W. B. Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 237 |
Release | 2014-09-16 |
Genre | Mathematics |
ISBN | 1599732920 |
In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built.
Non-Associative Algebraic Structures on MOD Planes
Title | Non-Associative Algebraic Structures on MOD Planes PDF eBook |
Author | W. B. Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 212 |
Release | 2015 |
Genre | Algebras, Linear |
ISBN | 1599733684 |
In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.
MOD Natural Neutrosophic Subset Semigroups
Title | MOD Natural Neutrosophic Subset Semigroups PDF eBook |
Author | W. B. Vasantha Kandasamy |
Publisher | Infinite Study |
Pages | 362 |
Release | 2016 |
Genre | |
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