Florentin Smarandache

Florentin Smarandache

Florentin Smarandache PhD, PostDocs, is an Emeritus Professor of Mathematics at the University of New Mexico, United States. He got his MSc in Mathematics and Computer Science from the University of Craiova, Romania, PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan, and The Guangdong University of Technology, Guangzhou, China. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, multispace and multistructure, HyperSoft set, TreeSoft Set, IndetermSoft Set and IndetermHyperSoft Set, SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, SuperHyperFunction, Neutrosophic SuperHyperAlgebra, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability / statistics, symbolic plithogenic algebraic structures, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, Dezert-Smarandache Theory and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world. In addition, he published many books of poetry, dramas, children stories, translations, essays, a novel, folklore collections, traveling memories, and art albums: [ http://fs.unm.edu/FlorentinSmarandache.htm ].

Publications

Revolutionary Topologies and Their Applications
Florentin Smarandache. © 2025. 320 pages.
With the emergence of avant-garde topologies such as NonStandard Real Topology and Neutrosophic Triplet Weak/Strong Topologies, understanding these innovative forms has become...
Plithogenics and New Types of Soft Sets
Florentin Smarandache, Maikel Leyva-Vazquez. © 2024. 300 pages.
In the evolving environment of academic research, scholars face a persistent challenge – navigating the complexities of indeterminacy in data. Traditional approaches often fall...
Multi-Criteria Decision Making Models and Techniques: Neutrosophic Approaches
Mohamed Abdel-Basset, Abduallah Gamal, Florentin Smarandache. © 2024. 300 pages.
In the rising information technology trends, cost, time, delivery, space, quality, durability, and price are all paramount in addressing managerial decision-making complexities...
Neutrosophic and Plithogenic Inventory Models for Applied Mathematics
Florentin Smarandache, Maissam Jdid, Maikel Leyva-Vazquez. © 2024. 320 pages.
As professionals navigate the evolving landscapes shaped by the advent of artificial intelligence, a critical void emerges in the optimization paradigms of applied mathematics....
NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World
Florentin Smarandache, Madeline Al Tahan. © 2023. 264 pages.
NeutroAlgebra and AntiAlgebra were extended to NeutroGeometry and AntiGeometry in order to catch the Non-Euclidean Geometries. In the real world, the spaces and the elements that...
New Aspects of Neutrosuperhyper Algebra With Its Application
M. Lathamaheswari, S. Sudha, Said Broumi, Florentin Smarandache. © 2023. 35 pages.
Security system is the process of developing, adding, and testing security features within applications to prevent security vulnerabilities against threats such as unauthorized...
Application of n-Cylindrical Fuzzy Neutrosophic Sets in Education Using Neutrosophic Similarity Index and Neutrosophic Score Ratio
Sarannya Kumari R., Sunny Joseph Kalayathankal, Mathews M. George, Florentin Smarandache. © 2023. 21 pages.
The n-Cylindrical fuzzy neutrosophic sets (n-CyFNS) with I as independent neutrosophic component, are one of the largest extension of fuzzy sets except fuzzy neutrosophic sets....
Neutrosophic Decision Making on Teaching Methods With Indeterminacy Quantifications
Nivetha Martin, Ramila N. Gandhi, P. Pandiammal, Florentin Smarandache. © 2023. 25 pages.
The dynamic requirements of the learners are redefining the process of teaching and learning and keeping the processes in the state of transience. The learning shall be made more...
Using Similarity Measures to Identify Significant Rejection Risk Factors After Technical Screening of Research Articles
Priyanka Majumder, Florentin Smarandache. © 2023. 12 pages.
Nobody enjoys being rejected. It hurts to have your most recent paper rejected after putting a lot of work and effort into it. A manuscript may be rejected for a variety of...
Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras
Florentin Smarandache, Madeline Al-Tahan. © 2022. 333 pages.
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...
A Fuzzy Approach for Minimizing Machine Rental Cost for a Specially-Structured Three-Stages Flow-Shop Scheduling Problem in a Fuzzy Environment
Hamiden Abd El-Wahed Khalifa, Florentin Smarandache, Sultan Saleh Alodhaibi, Hamiden Abd El-Wahed Khalifa. © 2022. 15 pages.
Scheduling problem is a problem concerned with searching for an optimal or near optimal schedule subject to a number of constraints. Neuromas approaches have been investigated to...
Application of Triangular Fuzzy Neutrosophic Number to an Effective Economic Order Quantity Model
S. Rajeswari, Sugapriya C., Nagarajan Deivanayagam Pillai, Said Broumi, Florentin Smarandache. © 2022. 27 pages.
The advance payment of acquiring cost is mostly encouraged by both supplier and retailer in current situations. This chapter discusses the economic order quantity model with...
NeutroAlgebra and AntiAlgebra Are Generalizations of Classical Algebras
Florentin Smarandache, Madeleine Al-Tahan. © 2022. 10 pages.
Neutrosophy as a branch of philosophy has many applications in almost every field of science. It studies neutralities, which are found in almost every real-life problem. This...
On Neutro-Topological Spaces and Their Properties
Bhimraj Basumatary, Jeevan Krishna Khaklary, Nijwm Wary, Florentin Smarandache. © 2022. 22 pages.
There is a lot of ambiguous information in the real world that crisp values can't manage. The fuzzy set theory was proposed by Zadeh. It is an age-old and excellent tool for...
NeutroAlgebra of Ideals in a Ring
Ilanthenral Kandasamy, Vasantha W. B., Florentin Smarandache. © 2022. 14 pages.
In this chapter, the authors define operations ‘+' and ‘×' on the substructure ideals of the ring. They find under what conditions the collection of ideals are...
Neutrosophic Graph Theory and Algorithms
Florentin Smarandache, Said Broumi. © 2020. 406 pages.
Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous...
Neutrosophic Sets in Decision Analysis and Operations Research
Mohamed Abdel-Basset, Florentin Smarandache. © 2020. 470 pages.
In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making...
Finding the Shortest Path With Neutrosophic Theory: A Tool for Network Optimization
Said Broumi, Shio Gai Quek, Ganeshsree Selvachandran, Florentin Smarandache, Assia Bakali, Mohamed Talea. © 2020. 32 pages.
In this chapter, the authors study a kind of network where the edge weights are characterized by single-valued triangular neutrosophic numbers. First, rigorous definitions of...
Application of Floyd's Algorithm in Interval Valued Neutrosophic Setting
Nagarajan DeivanayagamPillai, Lathamaheswari Malayalan, Said Broumi, Florentin Smarandache, Kavikumar Jacob. © 2020. 30 pages.
An algorithm with complete and incremental access is called a Floyd algorithm (FA). It determines shortest path for all the pairs in the network. Though there are many algorithms...
New Algorithms for Hamiltonian Cycle Under Interval Neutrosophic Environment
Nagarajan Deivanayagam Pillai, Lathamaheswari Malayalan, Said Broumi, Florentin Smarandache, Kavikumar Jacob. © 2020. 24 pages.
A cycle passing through all the vertices exactly once in a graph is a Hamiltonian cycle (HC). In the field of network system, HC plays a vital role as it covers all the vertices...
A Study of Neutrosophic Shortest Path Problem
Ranjan Kumar, Arindam Dey, Said Broumi, Florentin Smarandache. © 2020. 32 pages.
Shortest path problem (SPP) is an important and well-known combinatorial optimization problem in graph theory. Uncertainty exists almost in every real-life application of SPP....
Introduction to Plithogenic Subgroup
Sudipta Gayen, Florentin Smarandache, Sripati Jha, Manoranjan Kumar Singh, Said Broumi, Ranjan Kumar. © 2020. 47 pages.
This chapter gives some essential scopes to study some plithogenic algebraic structures. Here the notion of plithogenic subgroup has been introduced and explored. It has been...
Interval-Valued Neutrosophic Subgroup Based on Interval-Valued Triple T-Norm
Sudipta Gayen, Florentin Smarandache, Sripati Jha, Ranjan Kumar. © 2020. 29 pages.
Presently, interval-valued neutrosophic set theory has become an important research topic. It is widely used in various pure as well as applied fields. This chapter will provide...
A Novel Python Toolbox for Single and Interval-Valued Neutrosophic Matrices
Said Broumi, Selçuk Topal, Assia Bakali, Mohamed Talea, Florentin Smarandache. © 2020. 50 pages.
Recently, single valued neutrosophic sets and interval valued neutrosophic sets have received great attention among the scholars and have been applied in many applications. These...
Solving Neutrosophic Linear Programming Problems With Two-Phase Approach
Elsayed Metwalli Badr, Mustafa Abdul Salam, Florentin Smarandache. © 2020. 22 pages.
The neutrosophic primal simplex algorithm starts from a neutrosophic basic feasible solution. If there is no such a solution, we cannot apply the neutrosophic primal simplex...
Neutrosophic Soft Sets and Their Properties
Mumtaz Ali, Florentin Smarandache. © 2016. 28 pages.
Soft set plays an important role in the theory of approximations, as parameterized family of subsets in the universe of discourse. On the other hand, neutrosophic set is based on...
Multi-Attribute Decision Making Based on Interval Neutrosophic Trapezoid Linguistic Aggregation Operators
Broumi Said, Florentin Smarandache. © 2016. 22 pages.
Multi-attribute decision making (MADM) play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, interval...
Foreword
Florentin Smarandache, Ştefan Vlăduţescu. © 2015. 3 pages.
This Foreword is included in the book Systemic Approaches to Strategic Management: Examples from the Automotive Industry.