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TRIANGULAR FUZZY MATRICES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 4، شماره 1، تیر 2007، صفحه 75-87 اصل مقاله (207.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2007.359 | ||
| نویسندگان | ||
| Amiya Kumar l Shyama؛ Madhumangal Pal* | ||
| Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India | ||
| چکیده | ||
| In this paper, some elementary operations on triangular fuzzy numbers (TFNs) are defined. We also define some operations on triangular fuzzy matrices (TFMs) such as trace and triangular fuzzy determinant (TFD). Using elementary operations, some important properties of TFMs are presented. The concept of adjoints on TFM is discussed and some of their properties are. Some special types of TFMs (e.g. pure and fuzzy triangular, symmetric, pure and fuzzy skew-symmetric, singular, semi-singular, constant) are defined and a number of properties of these TFMs are presented. | ||
| کلیدواژهها | ||
| Triangular fuzzy numbers؛ Triangular fuzzy number arithmetic؛ Triangular fuzzy matrices؛ Triangular fuzzy determinant | ||
| مراجع | ||
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[1] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press London, 1980. [2] H. Hashimoto, Convergence of powers of a fuzzy transitive matrix, Fuzzy Sets and Systems, 9 (1983), 153-160. [3] H. Hashimoto, Canonical form of a transitive fuzzy matrix, Fuzzy Sets and Systems, 11 (1983), 157-162. [4] A. Kandel, Fuzzy mathematical Techniques with Applications, Addison-Wesley, Tokyo, 1996. [5] K. H. Kim and F. W. Roush, Generalised fuzzy matrices, Fuzzy Sets and Systems, 4 (1980), 293-315. [6] J. B. Kim, Determinant theory for fuzzy and boolean matrices, Congressus Numerantium, (1988), 273-276. [7] W. Kolodziejczyk, Canonical form of a strongly transitive fuzzy matrix, Fuzzy Sets and Systems, 22 (1987), 292-302. [8] W. Kolodziejczyk, Convergence of powers of s-transitive fuzzy matrices, Fuzzy Sets and Systems, 26 (1988), 127-130. [9] M. Pal, Intuitionistic fuzzy determinant, V.U.J.Physical Sciences, 7 (2001), 87-93. [10] M. Pal, S. K. Khan and A. K. Shyamal, Intuitionistic fuzzy matrices, Notes on Intuitionistic Fuzzy Sets, 8(2) (2002), 51-62. [11] M. Z. Ragab and E. G. Emam, The determinant and adjoint of a square fuzzy matrix, Fuzzy Sets and Systems, 61 (1994), 297-307. [12] M. Z. Ragab and E. G. Emam, On the min-max composition of fuzzy matrices, Fuzzy Sets and Systems, 75 (1995), 83-92. [13] A. K. Shyamal and M. Pal, Two new operators on fuzzy matrices, J. Applied Mathematics and Computing, 15 (2004), 91-107. [14] A. K. Shyamal and M. Pal, Distance between fuzzy matrices and its applications, Acta Siencia Indica, XXXI.M (1) (2005), 199-204. [15] A. K. Shyamal and M. Pal, Distance between fuzzy matrices and its applications-I, J. Natural and Physical Sciences, 19(1)(2005), 39-58. [16] A. K. Shyamal and M. Pal, Distances between intuitionistics fuzzy matrices, V. U. J. Physical Sciences, 8 (2002), 81-91. [17] M. G. Thomason,Convergence of powers of a fuzzy matrix, J. Math Anal. Appl., 57 (1977), 476-480. [18] L. J. Xin,Controllable fuzzy matrices, Fuzzy Sets and Systems, 45 (1992), 313-319. [19] L. J. Xin,Convergence of powers of controllable fuzzy matrices, Fuzzy Sets and Systems, 62 (1994), 83-88. [20] L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338-353. | ||
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