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...zzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field founded by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical mathematics....

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...HE FUZZY ALGEBRA W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology Madras Chennai – 600 036, Indi... ...tarted because of my perception at that time, that the world of classical mathematics – was a little too much of a black and white world, that the p... ...born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field founded by Floren... ...y Theory: both the fields imperatively questioned the dogmas of classical mathematics. Despite the fact that Fuzzy Algebra has been studied for ov... ...UTHOR Dr. W. B. Vasantha is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she liv...

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...en solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics....

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...ected papers) Edited by ZHANG WENPENG Department of Mathematics Northwest University Xi’an, P. R. China ... ...pers) Edited by ZHANG WENPENG Department of Mathematics Northwest University Xi’an, P. R. China Hexis 2004 ... ...i.com/bod/search/basic Peer Reviewers: A. W. Vyawahare, H. O. D. Mathematics Department, M. M. College Of Science, Umred Road, Sakkardara, ... ...ur University, Nagpur, PIN : - 440009, I ndia . K. M. Purohit, H. O. D. Mathematics Department, V.M.V. Com., J.M.T. Arts & J.J.P. Science Colleg... ...IN : – 440008 , I ndia. Dr. (Mrs.) W.B.Vasantha Kandasamy , Department of Mathematics , Indian Institute of Technology , IIT Madras, Chennai - 600 0... ...s implicated and are still promoting the development of number theory and mathematics. American - Romanian number theorist Florentin Smarandache i... ...UE ON THE PSEUDO-SMARANDACHE SQUAREFREE FUNCTION Liu Huaning Department of Mathematics, Northwest University, Xi’an, Shaanxi, P .R.China hnliu@etang.c... ...ce, Xi’an Jiaotong University, Xi’an, Shaanxi, P .R.China 2. Department of Mathematics, Northwest University, Xi’an, Shaanxi, P .R.China xdwxy@163.com... ...IC FUNCTION AND THE DIVISOR PRODUCT SEQUENCES Zhang Tianping Department of Mathematics, Northwest University, Xi’an, Shaanxi, P .R.China tianpzhang@ey...

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...presented at Second International Conference on Smarandache Type Notions In Mathematics and Quantum Physics, December 21 - 24, 2000 University of Cr... ...presented at Second International Conference on Smarandache Type Notions In Mathematics and Quantum Physics, December 21 - 24, 2000, University of C...

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...bra and grouped chapters, the upper classes of secondary schools and coli culture media general. Its purpose is to prepare students from high schools mathematics categories and will be helpful in working independently. Also work can be used for extra school work because the reader will find in it important formulas, theorems, concepts, and basic definitions which are not a...

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...AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036... ...ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail:... ...cademia Technica Militaria, Bucharest, Romania. Dr. B.S. Kirangi, Department of Mathematics and Computer Science, University of Mysore, Karnataka, I... ...al, and thus one defines the neutrosophic set. One gives 227 examples from mathematics, physics, philosophy, and applications of the neutrosoph... ... Darwin (biology), Maxwell (electromagnetism), Einstein (mechanics) and Godel (mathematics). Although paradigm shifts vary from one another in thei... ...sed by Zadeh [1962] three years before he actually proposed the new paradigm of mathematics based upon the concept of a fuzzy set. When the new para... ...., Wang, W.J., Liaw, Y.K., New Algorithms for Solving Fuzzy Relation Equations, Mathematics and Computers in Simulation, 59 (2002) 329-333. [85-86] ... ...blem, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, April 2000. [167] 82. ... ...Theory, Ph.D. Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, Madras, November 2002. ...

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...dache Non-associative rings W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, Indi... ... Street, 2212 Sacele 3, Jud Brasov, Romania. Dr. Andrei Kelarev, Dept. of Mathematics, Univ. of Tasmania, Hobart, Tasmania 7001, Australia. Dr. A. R... ...asmania, Hobart, Tasmania 7001, Australia. Dr. A. R. T. Solarin, Dept. of Mathematics, Obafemi Awolowo University, (formerly University of Ife), Ile... ...he study of complex semi simple Lie algebras refer Springer Monographs in mathematics 2001 in [47]. The reader has a lot of problem to study about S... ...arandache semigroup, International Conference on Combinatorial Methods in Mathematics, II meeting of the project 'Algebra, Geometria e Combinatoria'... ...ociative algebras and its applications, Lecture notes in Pure and Applied Mathematics, 211, Marcel Dekker, (2000). 19. DE GRAAF, Willem A., Lie Alge... ...uthor Dr. W. B. Vasantha is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she liv...

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... A 2 B 1 B 2 4 0 1 2 3 1 W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology Madras, Chennai – 600036, ... ...e Smarandache Semigroup, International Conference on Combinatorial Methods in Mathematics, II Meeting of the project 'Algebra, Geometria e Combinato... ...he Author Dr. W. B. Vasantha is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she...

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...re more interested to attract all types of reader we have not used very high mathematics. DEFINITION 1.1.1: An FCM is a directed graph with conc... ...ics, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, (2001). 7. Bechtel, J.H... ...es, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, (2000). 22. Kananaikal, ... ...oblem, Masters Dissertation, Guide: Dr.W.B.Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, Chennai, (1999). 26. Ko... ...dents, Masters Dissertation, Guide: Dr.W.B.Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, Chennai, (2001). 32. Ma... ...lem, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, (2000). 49. Rajshekar, ... ...ren, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, Chennai, (1999). 51. Rat... ...em, Masters Dissertation, Guide: Dr. W. B. Vasantha Kandasamy, Department of Mathematics, Indian Institute of Technology, (2001). 63. Subrahmanian... ... Dr.W.B.Vasantha Kandasamy is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she...

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... 0 1 Smarandache Rings W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036, Indi... ..., 43, Chipiona 11550 (Cadiz), Spain. Dwiraj Talukdar, Head, Department of Mathematics, Nalbari College, Nalbari, Assam, India. Copyrig... ...uthor Dr. W. B. Vasantha is an Associate Professor in the Department of Mathematics, Indian Institute of Technology Madras, Chennai, where she liv...