Part of the Number Theory Commons

Works by Florentin Smarandache in Number Theory

2021

Theory and Application of Hypersoft Set, Florentin Smarandache, Muhammad Saeed, Muhammad Saqlain, Mohamed Abdel-Baset
Branch Mathematics and Statistics Faculty and Staff Publications

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Solving neutrosophic linear equations systems using symbolic computation (Resolucion de sistemas de ecuaciones lineales neutrosóficas mediante computación simbólica), Maykel Leyva-Vazquez, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2020

Decision Making on Teachers’ adaptation to Cybergogy in Saturated Interval- valued Refined Neutrosophic overset /underset /offset Environment, Florentin Smarandache, Nivetha Martin, Priya R.
Branch Mathematics and Statistics Faculty and Staff Publications

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Improved, extended, and total impact factor of a journal, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Quadruple Neutrosophic Theory And Applications Volume I, Florentin Smarandache, Memet Şahin, Vakkas Uluçay, Abdullah Kargin
Branch Mathematics and Statistics Faculty and Staff Publications

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Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited), Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2019

Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Issue: Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Vol. II, Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali
Branch Mathematics and Statistics Faculty and Staff Publications

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A short remark on Gödel incompleteness theorem and its self-referential paradox from Neutrosophic Logic perspective, Florentin Smarandache, Victor Christianto
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Issue: New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/ Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/ Probability, with Applications, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2018

Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making, Florentin Smarandache, Aliya Fahmi, Fazli Amin, Madad Khan, Nasruddin Hassan
Branch Mathematics and Statistics Faculty and Staff Publications

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On Rugina’s system of thought, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophic Soft Rough Graphs with Application, Florentin Smarandache, Muhammad Akram, Hafsa M. Malik, Sundas Shahzadi
Branch Mathematics and Statistics Faculty and Staff Publications

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NN-Harmonic Mean Aggregation Operators-Based MCGDM Strategy in a Neutrosophic Number Environment, Florentin Smarandache, Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophic Logic: The Revolutionary Logic in Science and Philosophy -- Proceedings of the National Symposium, Florentin Smarandache, Huda E. Khalid, Ahmed K. Essa
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Issue: Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Vol. I, Florentin Smarandache, Xiaohong Zhang, Mumtaz Ali
Branch Mathematics and Statistics Faculty and Staff Publications

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Fuzzy and Neutrosophic Sets in Semigroups, Florentin Smarandache, Young Bae Jun, Madad Khan
Branch Mathematics and Statistics Faculty and Staff Publications

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Mod Rectangular Natural Neutrosophic Numbers, Florentin Smarandache, K. Ilanthenral, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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2017

Neutrosophic Hough Transform, Florentin Smarandache, Umit Budak, Yanhui Guo, Abdulkadir Sengur
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophic Commutative N-Ideals in BCK-Algebras, Florentin Smarandache, Seok-Zun Song, Young Bae Jun
Branch Mathematics and Statistics Faculty and Staff Publications

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SHORTEST PATH PROBLEM UNDER TRIANGULAR FUZZY NEUTROSOPHIC INFORMATION, Florentin Smarandache, Said Broumi, Assia Bakali, Mohamed Talea, Luige Vladareanu
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophy, a Sentiment Analysis Model, Florentin Smarandache, Mirela Teodorescu, Daniela Gifu
Branch Mathematics and Statistics Faculty and Staff Publications

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P-union and P-intersection of neutrosophic cubic sets, Florentin Smarandache, Young Bae Jun, Chang Su Kim
Branch Mathematics and Statistics Faculty and Staff Publications

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Numbers in base b that generate primes with help the Luhn function of order ω, Florentin Smarandache, Octavian Cira
Branch Mathematics and Statistics Faculty and Staff Publications

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A Bipolar Single Valued Neutrosophic Isolated Graphs: Revisited, Florentin Smarandache, Said Broumi, Assia Bakali, Mohamed Talea, Mohsin Khan
Branch Mathematics and Statistics Faculty and Staff Publications

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2016

MATHEMATICS. POSSIBLE SUBJECTS FOR THE HIGH SCHOOL ENTRANCE EXAMINATION AND THE CAPACITY EXAMINATION IN ROMANIA, Florentin Smarandache, Constantin Coanda, Ionuț Ivanescu
Branch Mathematics and Statistics Faculty and Staff Publications

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Problems on MOD Structures, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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APPLYING DIJKSTRA ALGORITHM FOR SOLVING NEUTROSOPHIC SHORTEST PATH PROBLEM, Florentin Smarandache, Luige Vladareanu, Said Broumi, Assia Bakali, Muhammad Akram
Branch Mathematics and Statistics Faculty and Staff Publications

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Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Nidus idearum. Scilogs, I: De neutrosophia, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Nidus idearum. Scilogs, II: de rerum consectatione, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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Single Valued Neutrosophic Graphs: Degree, Order and Size, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali
Branch Mathematics and Statistics Faculty and Staff Publications

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Luhn Primes of Order ω, Florentin Smarandache, Octavian Cira
Branch Mathematics and Statistics Faculty and Staff Publications

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Various Arithmetic Functions and their Applications, Florentin Smarandache, Octavian Cira
Branch Mathematics and Statistics Faculty and Staff Publications

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2015

Probleme de geometrie și trigonometrie, compilate și rezolvate, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Infinite Quaternion Pseudo Rings Using [0, n), Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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READUP BUILDUP. Thync - instant α-readings, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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MOD Functions: A New Approach to Function Theory, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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255 Compiled and Solved Problems in Geometry and Trigonometry, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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MOD Pseudo Linear Algebras, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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Natural Neutrosophic Numbers and MOD Neutrosophic Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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MOD Planes: A New Dimension to Modulo Theory, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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A New Type of Group Action Through the Applications of Fuzzy Sets and Neutrosophic Sets, Florentin Smarandache, Mumtaz Ali
Branch Mathematics and Statistics Faculty and Staff Publications

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Techno-Art of Selariu SuperMathematics Functions, 2nd volume, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Quaestiones Neutrosophicae, Florentin Smarandache, Yale Landsberg
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophic Axiomatic System, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2014

Special Pseudo Linear Algebras using [0,n), Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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ECCENTRICITY, SPACE BENDING, DIMENSION, Florentin Smarandache, Marian Nitu, Mircea Eugen Selariu
Branch Mathematics and Statistics Faculty and Staff Publications

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Importance of Sources using the Repeated Fusion Method and the Proportional Conflict Redistribution Rules #5 and #6, Florentin Smarandache, Jean Dezert
Branch Mathematics and Statistics Faculty and Staff Publications

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Interval Neutrosophic Logic, Haibin Wang, Florentin Smarandache, Yan-Qing Zhang, Rajshekhar Sunderraman
Branch Mathematics and Statistics Faculty and Staff Publications

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Interval Neutrosophic Rough Set, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Single Valued Neutrosophic Information Systems Based on Rough Set Theory, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Intuitionistic Neutrosophic Soft Set over Rings, Florentin Smarandache, Said Broumi, Pabitra Kumar Maji
Branch Mathematics and Statistics Faculty and Staff Publications

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Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Algebraic Structures on Finite Complex Modulo Integer Interval C([0, n)), Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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New Research on Neutrosophic Algebraic Structures, Florentin Smarandache, Mumtaz Ali, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications

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SOFT NEUTROSOPHIC ALGEBRAIC STRUCTURES AND THEIR GENERALIZATION - Vol. 1, Florentin Smarandache, Mumtaz Ali, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications

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Algebraic Structures on the Fuzzy Interval [0, 1), Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces, A. A. Salama, Florentin Smarandache, Valeri Kroumov
Branch Mathematics and Statistics Faculty and Staff Publications

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ON CRITTENDEN AND VANDEN EYNDEN'S CONJECTURE, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Solving Diophantine Equations, Florentin Smarandache, Octavian Cira
Branch Mathematics and Statistics Faculty and Staff Publications

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Multi-criteria decision making based on DSmT-AHP, Jean Dezert, Jean Marc Tacnet, Mireille Batton-Hubert, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2013

Algebraic Structures using [0,n), Florentin Smarandache, Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Subset Interval Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Subset Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Subset Polynomial Semirings and Subset Matrix Semirings, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Subset Non Associative Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Intuitionistic Neutrosophic Soft Set, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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More on Intuitionistic Neutrosophic Soft Sets, Said Broumi, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Set Theoretic Approach to Algebraic Structures in Mathematics - A Revelation, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Algebraic Structures using Subsets, Florentin Smarandache, W.B Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Variance on topics of plane geometry, Florentin Smarandache, Ion Patrascu
Branch Mathematics and Statistics Faculty and Staff Publications

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2012

Set Ideal Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Dual Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Supermodular Lattices, Florentin Smarandache, Iqbal Unnisa, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Non Associative Algebraic Structures Using Finite Complex Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Dual like Numbers and Lattices, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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NON ASSOCIATIVE LINEAR ALGEBRAS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Special Quasi Dual Numbers and Groupoids, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Fuzzy Linguistic Topological Spaces, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Amal
Branch Mathematics and Statistics Faculty and Staff Publications

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2011

DSm vector spaces of refined labels, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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INTERVAL SEMIGROUPS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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FINITE NEUTROSOPHIC COMPLEX NUMBERS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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STUDY OF NATURAL CLASS OF INTERVALS USING (–∞,∞) AND (∞, –∞), Florentin Smarandache, W.B. Vasantha Kandasamy, D. Datta, H.S. Kushwaha, P.A. Jadhav
Branch Mathematics and Statistics Faculty and Staff Publications

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INTERVAL ALGEBRAIC BISTRUCTURES, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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ALGEBRAIC STRUCTURES USING SUPER INTERVAL MATRICES, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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G-Neutrosophic Space, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications

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UNIFORM AND PARTIALLY UNIFORM REDISTRIBUTION RULES, Florentin Smarandache, Jean Dezert
Branch Mathematics and Statistics Faculty and Staff Publications

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PROBLEMS WITH AND WITHOUT … PROBLEMS!, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2010

SUPER SPECIAL CODES USING SUPER MATRICES, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Ilanthenral
Branch Mathematics and Statistics Faculty and Staff Publications

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2009

RESERVATION FOR OTHER BACKWARD CLASSES IN INDIAN CENTRAL GOVERNMENT INSTITUTIONS LIKE IITs, IIMs AND AIIMS – A STUDY OF THE ROLE OF MEDIA USING FUZZY SUPER FRM MODELS, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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SUPERBIMATRICES AND THEIR GENERALIZATIONS, Florentin Smarandache, W.B Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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2008

SPECIAL CLASSES OF SET CODES AND THEIR APPLICATIONS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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n- LINEAR ALGEBRA OF TYPE I AND ITS APPLICATIONS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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Chinese Neutrosophy and Taoist Natural Philosophy, Florentin Smarandache, Jiang Zhengjie
Branch Mathematics and Statistics Faculty and Staff Publications

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2007

AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Florentin Smarandache, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan
Branch Mathematics and Statistics Faculty and Staff Publications

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Neutrality and Many-Valued Logics, Florentin Smarandache, Andrew Schumann
Branch Mathematics and Statistics Faculty and Staff Publications

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2006

SEQUENCES OF NUMBERS INVOLVED IN UNSOLVED PROBLEMS, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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NEUTROSOPHIC RINGS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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2005

FUZZY AND NEUTROSOPHIC ANALYSIS OF WOMEN WITH HIV/AIDS, Florentin Smarandache, W.B. Vasantha Kandasamy
Branch Mathematics and Statistics Faculty and Staff Publications

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2003

A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY (In traditional Chinese), Florentin Smarandache, Feng Liu
Branch Mathematics and Statistics Faculty and Staff Publications

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A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY (Chinese Translation), Florentin Smarandache, Feng Liu
Branch Mathematics and Statistics Faculty and Staff Publications

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2002

Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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2000

DEFINITIONS, SOLVED AND UNSOLVED PROBLEMS, CONJECTURES, AND THEOREMS IN NUMBER THEORY AND GEOMETRY, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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Algebra În exerciJii şi probleme pentru liceu, Florentin Smarandache, Ion Goian, Raisa Grigor, Vasila Marin
Branch Mathematics and Statistics Faculty and Staff Publications

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1999

Smarandache type functions obtained by duality, Florentin Smarandache, C Dumitrescu, N Varlan, ST Zamfir, E Radescu, N Radescu
Branch Mathematics and Statistics Faculty and Staff Publications

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ASUPRA UNOR NOI FUNCTII îN TEORIA NUMERELOR, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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1998

SUBIECTE POSIBILE PENTRU EXAMENUL DE ADMITERE ÎN LICEU ŞI EXAMENUL DE CAPACITATE (in Romanian), Florentin Smarandache, Constantin Coanda, Gheorghe Duta
Branch Mathematics and Statistics Faculty and Staff Publications

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1995

METODE DE CALCUL ÎN ANALIZA MATEMATICĂ, Florentin Smarandache, C. Dumitrescu
Branch Mathematics and Statistics Faculty and Staff Publications

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1993

Only problems, not solutions! (Fourth edition), Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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1983

Problemes avec et, sans Problemes!, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications

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