On neutro-d-subalgebras

On neutro-d-subalgebras
Author: M. Hamidi
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:

This paper introduces the novel concept of neutro-d-algebra. In neutro-d-algebra, the outcome of any given two elements under an underlying operation (neutrosophication procedure) has three cases, such as: Appurtenance, non-appurtenance, or indeterminate and for an axiom: Equal, non-equal, or indeterminate.

On Complex Neutrosophic Lie Algebras

On Complex Neutrosophic Lie Algebras
Author: M. Parimala
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

Complex neutrosophic Lie subalgebras and complex neutrosophic ideals of Lie algebras are de ned in this paper. Each component in complex neutrosophic Lie algebra has magnitude and phase terms. Some characteristics of complex neutrosophic Lie subalgebras (ideals) and some of their operations like intersection and Cartesian product are also discussed.

Neutrosophic Sets and Systems, vol. 14/2016

Neutrosophic Sets and Systems, vol. 14/2016
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 99
Release:
Genre:
ISBN:

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems, book series, Vol. 14, 2016

Neutrosophic Sets and Systems, book series, Vol. 14, 2016
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 99
Release:
Genre:
ISBN: 1599735148

Abstract: Contributors to current issue (listed in papers' order): Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic, Huda E. Khalid, Ahmed K. Essa, Kul Hur, Pyung Ki Lim, Jeong Gon Lee, Junhui Kim, Harish Garg, Salah Bouzina, Rajashi Chatterjee, Pinaki Majumdar, Syamal Kumar Samanta, W.B. Vasantha Kandasamy, K. Ilanthenral, Rakib Iqbal, Sohail Zafar, Muhammad Shoaib Sardar, Pablo José Menéndez Vera, Cristhian Fabián Menéndez Delgado, Susana Paola Carrillo Vera, Milton Villegas Alava, Miriam Peña Gónzales, Nguyen Xuan Thao, Naga Raju I, Rajeswara Reddy P, Dr. Diwakar Reddy V, Dr. Krishnaiah G, Bui Cong Cuong, Wenzhong Jiang, Jun Ye. Papers in current issue (listed in papers' order): Multiple Criteria Evaluation Model Based on the Single Valued Neutrosophic Set; A Neutrosophic Binomial Factorial Theorem with their Refrains; The category of neutrosophic sets, On Single-Valued Neutrosophic Entropy of order α; Fuzzy Logic vs Neutrosophic Logic: Operations Logic; Interval-valued Possibility Quadripartitioned Single Valued Neutrosophic Soft Sets and some uncertainty based measures on them; Modified Collatz conjecture or (3a + 1) + (3b + 1)I Conjecture for Neutrosophic Numbers; Neutrosophic Cubic Subalgebras and Neutrosophic Cubic Closed Ideals of B-algebras; Static analysis in neutrosophic cognitive maps; (I,T)-Standard neutrosophic rough set and its topologies; Real Life Decision Optimization Model; Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems; Optimal Design of Truss Structures Using a Neutrosophic Number Optimization Model under an Indeterminate Environment. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.

Neutrosophic Sets and Systems, vol. 48/2022

Neutrosophic Sets and Systems, vol. 48/2022
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 496
Release: 2022-02-01
Genre: Mathematics
ISBN:

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras
Author: Smarandache, Florentin
Publisher: IGI Global
Total Pages: 333
Release: 2022-04-15
Genre: Mathematics
ISBN: 1668434970

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities as well as their interactions with different ideational spectra. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

Collected Papers. Volume IX

Collected Papers. Volume IX
Author: Florentin Smarandache
Publisher: Infinite Study
Total 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.

Commutative falling neutrosophic ideals in BCK-algebras

Commutative falling neutrosophic ideals in BCK-algebras
Author: Young Bae Jun
Publisher: Infinite Study
Total Pages: 10
Release:
Genre:
ISBN:

Neutrosophic set (NS) developed by Smarandache is a more general platform which extends the concepts of the classic set and fuzzy set, intuitionistic fuzzy set and interval valued intuitionistic fuzzy set.

BCK-algebras

BCK-algebras
Author: Jie Meng
Publisher:
Total Pages: 294
Release: 1994-06-01
Genre: Algebra
ISBN: 9788972821175