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A new view on neutrosophic matrix | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 1، شهریور 2019، صفحه 48-57 اصل مقاله (276.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2612 | ||
| نویسندگان | ||
| Banu Pazar Varol* ؛ Vildan Çetkin؛ Halis Aygün | ||
| Department of Mathematics, Kocaeli University, P.O.Box 41380, Kocaeli, Turkey | ||
| چکیده | ||
| In the present paper, we define a new kind of matrix called by a neutrosophic matrix, whose entries are all single-valued neutrosophic sets. So, we aim to be introduce a convenient tool for the problems, have uncertain inputs. We first give the definition of a neutrosophic matrix with its basic operations. Then we investigate the properties of the given operations and also prove that the family of all neutrosophic matrices is a vector space over a classical field. | ||
| کلیدواژه‌ها | ||
| Neutrosophic set؛ single valued neutrosophic set؛ neutrosophic matrix | ||
| مراجع | ||
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[1] D. D. Anderson and E. Smith, Weakly prime ideals, Houston J. Mathematics,29 (2003), 831–840. [2] R. Y. Sharp, Steps in commutative algebra, Cambridge: Cambridge University Prees. [3] I. Arockiarani, I. R. Sumathi, J. Martina Jency, Fuzzy neutrosophic soft topo-logical spaces, International Journal of Mathematical Arhchive, 4 (10) (2013)225–238. [4] R. A. Borzooei, H. Farahani, M. Moniri, Neutrosophic deductive filters on BL-algebras, Journal of Intelligent and Fuzzy Systems, 26 (6) (2014) 2993–3004. [5] V.C¸ etkin, H. Ayg¨un, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems, 29 (2015) 1941–1947. [6] V.C¸ etkin, B.P. Varol, H. Ayg¨un, On neutrosophic submodules of a module, Hacettepe Journal of Mathematics and Statistics, 46 (5) (2017) 791–799 [7] V. C¸ etkin, H. Ayg¨un, A new approach to neutrosophic subrings, Sakarya Univer-sity Journal of Science, 23(3), (20190) 472–477. [8] M. Dhar, S. Broumi, F. Smarandache, A note on square neutrosophic fuzzy ma-trices, Neutrosophic Sets anSystems 3 (2014) 37–41. [9] T. Eswarlal, R. Ramakrishma, Vague fields and vague vector spaces, International Journal of Pure and Applied Mathematics 94 (3) (2014) 295–305. [10] T. W. Hungerford, Algebra, Graduate Texts in Mathematics 73, Springer (1974). [11] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic alge-braic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Ari-zona, 2006. [12] P. Majumdar, S. K. Samanta, On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems- 26 (3) (2014) 1245–1252. [13] S. Nanda, Fuzzy fields and fuzzy linear spaces, Fuzzy Sets and Systems, 19 (1986) 89–94. [14] A. A.Salama,S. A.Al-Blowi,Neutrosophic set and neutrosophic topological spaces,IOSR Journal of Math.3(4)(2012) 31–35. [15] M. Shabir, M. Ali, M. Naz, F. Smarandache, Soft neutrosophic group, Neutro-sophic Sets and Systems, 1 (2013) 13–25. [16] F. Smarandache, A unifying field in logics. Neutrosophy/ Neutrosophic Probability, Set and Logic, Rehoboth: American Research Press (1998) http://fs.gallup.unm.edu/eBook-neutrosophics6.pdf (last edition online). [17] S. Srivastava, P. Murugadas, On semiring of intuitionistic fuzzy matrices, Ap-plied Mathematical Sciences, 4 (2010) 1099–1105. [18] M. G. Thomas, Convergence of powers of a fuzzy matrix, J. Math. Annal Appl.,57 (1977) 476–480. [19] H. Wang et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory and Technology, Salt Lake City, Utah, July 21-26 (2005). [20] K.-M. Zhang, Y. Bai, X.-L. Li, Y.-F. Qin, Intuitionistic fuzzy subfield and its characterizations, 2010 Second International Conference on Intelligent Human-Machine Systems and Cybernetics, (2010) 58–61. | ||
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