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Order intervals in the metric space\ of fuzzy numbers | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 12، شماره 5، دی 2015، صفحه 139-147 اصل مقاله (305.64 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2115 | ||
نویسنده | ||
S. Aytar* | ||
Faculty of Arts and Sciences, Department of Mathematics, Suleyman Demirel University, Isparta, Turkey | ||
چکیده | ||
In this paper, we introduce a function in order to measure the distance between two order intervals of fuzzy numbers, and show that this function is a metric. We investigate some properties of this metric, and finally present an application. We think that this study could provide a more general framework for researchers studying on interval analysis, fuzzy analysis and fuzzy decision making. | ||
کلیدواژهها | ||
Fuzzy number؛ Order interval of fuzzy numbers؛ Decision making | ||
مراجع | ||
[1] G. Bortolan and R. Degani, A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems, 15 (1985), 1-19. [2] H. Bustince, Indicator of inclusion grade for interval-valued fuzzy sets: Application to ap- proximate reasoning based on interval-valued fuzzy sets, Int. J. Approximate Reasoning, 23 (2000), 137-209. [3] P. T. Chang and E. S. Lee, Fuzzy arithmetic and comparison of fuzzy numbers, In: M. Delgado, J. Kacprzyk (Eds.), Fuzzy Optimization, Physica-Verlag, Heidelberg, (1994), 69-82. [4] P. Diamond and P. Kloeden, Metric Spaces of Fuzzy Sets: Theory and Applications, World Scientic, Singapore, 1994. [5] J-x. Fang and H. Huang, On the level convergence of a sequence of fuzzy numbers, Fuzzy Sets and Systems, 147 (2004), 417-435. [6] P. Grzegorzewski, Metrics and orders in space of fuzzy numbers, Fuzzy Sets and Systems, 97 (1998), 83-94. [7] S. Heilpern, Comparison of fuzzy numbers in decision making, Tatra Mountains Math. Publ., 6 (1995), 47-53. [8] M. Mizumoto and K. Tanaka, Some properties of fuzzy numbers, In: M. M. Gupta et al. (Eds.) , Advances in Fuzzy Set Theory and Applications, North Holland, (1979), 153-164. [9] R. E. Moore, Interval Analysis, Prentice-Hall, N.J., 1966. [10] M. L. Puri and D. A. Ralescu, Fuzzy random variables, J. Math. Anal. Appl., 114 (1986), 409-422. [11] Q. Zhu and E. S. Lee, Comparison and ranking of fuzzy numbers, in: J. Kacprzyk, M. Fedrizzi (Eds.), Fuzzy Regression Analysis, Omnitech Press, Warsaw, (1992), 21-44. | ||
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