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GENERALIZED REGULAR FUZZY MATRICES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 8، شماره 2، شهریور 2011، صفحه 133-141 اصل مقاله (275.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.281 | ||
| نویسندگان | ||
A. R. Meenakshi1؛ P. Jenita  2
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| 1Department of Mathematics, Karpagam college of Engineering, Coimbatore 641 032, India | ||
| 2Department of Mathematics, Karpagam college of Engineering, Coimbat- ore 641 032, India | ||
| چکیده | ||
| In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed. | ||
| کلیدواژه‌ها | ||
| Fuzzy matrices؛ K-regular fuzzy matrices؛ Index؛ period | ||
| مراجع | ||
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[1] A. Ben-Israel and T. N. E. Greville, Generalized inverses, Theory and Applications, Wiley, Newyork, 1974. [2] H. H. Cho, Regular fuzzy matrices and fuzzy equations, Fuzzy sets and systems, 105 (1999), 445-451. [3] K. H. KIM and F. W. Roush, On generalised fuzzy matrices, Fuzzy Sets and Systems, 4 (1980), 293-375. [4] A. R. Meenakshi, On regularity of block triangular fuzzy matrices, Applied Math & Comput- ing, 15 (2004), 207-220. [5] A. R. Meenakshi and S. Sriram, On regularity of sums of fuzzy matrices, Bulletin of Pure and Applied sciences., 22E(2) (2003), 395-403. [6] T. J. Ross, Fuzzy logic with engineering applications, McGraw Hill Inc., 1995. [7] W. Pedrycz, Fuzzy relational calculus, Hand Book of Fuzzy Computations, IOP.4d, 1998. | ||
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