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A general framework for level continuous fuzzy-valued functions | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 23، شماره 1، فروردین و اردیبهشت 2026، صفحه 111-123 اصل مقاله (452.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.52126.9197 | ||
| نویسندگان | ||
| Juan J. Font* 1؛ Sergio Macario2؛ Manuel Sanchis2 | ||
| 1Department of Mathematics Universitat Jaume I Spain | ||
| 2Department of Mathematics, Universitat Jaume I | ||
| چکیده | ||
| In this paper, we provide a general setting to deal with level continuous fuzzy- valued functions. Namely, we embed such functions into a product of spaces of real-valued functions of two variables satisfying certain type of left-continuity, right-continuity and monotonicity. | ||
| کلیدواژهها | ||
| Level continuous fuzzy-valued functions؛ one-sided continuity؛ monotonicity | ||
| مراجع | ||
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[1] A. Ayg¨uno˘glu, V. C¸ etkin, H. Ayg¨un, On embedding problem of fuzzy number valued continuous functions, Journal of Intelligent and Fuzzy Systems, 25 (2013), 243-246. https://doi.org/10.3233/IFS-2012-0631 [2] Y. Chalco-Cano, R. Rodr´ıguez-L´opez, M. D. Jim´enez-Gamero, Characterizations of generalized differentiable fuzzy functions, Fuzzy Sets and Systems, 295 (2016), 37-56. https://doi.org/10.1016/j.fss.2015.09.005 [3] M. Chen, C.Wu, X. Xue, G. Liu, On fuzzy boundary value problems, Information Sciences, 178(7) (2008), 1877-1892. https://doi.org/10.1016/j.ins.2007.11.017 [4] P. Diamond, P. Kloeden Metric spaces of fuzzy sets. Theory and applications, World Scientific Pub. Co. Pte. Ltd, Singapore, (1994). https://doi.org/10.1142/2326 [5] J. X. Fang, H. Huang, Some properties of the level convergence topology on fuzzy number space En, Fuzzy Sets and Systems, 140(3) (2003), 509-517. https://doi.org/10.1016/S0165-0114(02)00576-6 [6] J. X. Fang, H. Huang, On the level convergence of a sequence of fuzzy numbers, Fuzzy Sets and Systems, 147(3) (2004), 417-435. https://doi.org/10.1016/j.fss.2003.08.001 [7] J. J. Font, A. Miralles, M. Sanchis, On the fuzzy number space with the level convergence topology, Journal of Function Spaces, (2012), Article ID 326417, 11 pages. https://doi.org/10.1155/2012/326417 [8] J. J. Font, D. Sanchis, M. Sanchis, Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions, Fuzzy Sets and Systems, 353 (2018), 124-136. https://doi.org/10.1016/j.fss.2018.05.006 [9] D. Fra˘nkov´a, Regulated functions with values in Banach space, Mathematica Bohemica, 144(4) (2019), 437-456. https://doi.org/10.21136/MB.2019.0124-19 [10] R. Goetschel, W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems, 18(1) (1986), 31-42. https://doi. org/10.1016/0165-0114(86)90026-6 [11] L. M. Graves, The theory of functions of real variables, McGraw-Hill Book Company, Inc., New York, 1946.
[12] D. Jard´on, M. Sanchis, Pointwise convergence topology and function spaces in fuzzy analysis, Iranian Journal of Fuzzy Systems, 15(2) (2018), 1-21. https://doi.org/10.22111/IJFS.2018.3753 [13] O. Kaleva, S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems, 12(3) (1984), 215-229. https://doi. org/10.1016/0165-0114(84)90069-1 [14] P. E. Kloeden, Compact supported endographs and fuzzy sets, Fuzzy Sets and Systems, 4(2) (1980), 193-201. https://doi.org/10.1016/0165-0114(80)90036-6 [15] R. L. Kruse, J. J. Deely, Joint continuity of monotonic functions, The American Mathematical Monthly, 76(1) (1969), 74-76. https://doi.org/10.2307/2316804 [16] H. X. Li, V. C. Yen, Fuzzy sets and fuzzy decision making, CPC Press, Boca Raton, Florida, 1995.
[17] M. L. Puri, D. A. Ralescu, Differentials of fuzzy functions, Journal of Mathematical Analysis and Applications, 91(2) (1983), 552-558. https://doi.org/10.1016/0022-247X(83)90169-5 [18] M. L. Puri, D. A. Ralescu, Fuzzy random variables, Journal of Mathematical Analysis and Applications, 114(2) (1986), 409-422. https://doi.org/10.1016/0022-247X(86)90093-4 [19] R. Rodr´ıguez-L´opez, Monotone method for fuzzy differential equations, Fuzzy Sets and Systems, 159(16) (2008), 2047-2076. https://doi.org/10.1016/j.fss.2007.12.020 [20] H. C. Wu, Fuzzy optimization problems based on the embedding theorem and possibility and necessity measures, Mathematical and Computer Modelling, 40(3-4) (2004), 329-336. https://doi.org/10.1016/j.mcm.2003.12.008 [21] C. Wu, Z. Gong, On Henstock integrals of interval-valued functions and fuzzy-valued functions, Fuzzy Sets and Systems, 115(3) (2000), 377-391. https://doi.org/10.1016/S0165-0114(98)00277-2 [22] W. C. Xin, M. Ming, Embedding problem of fuzzy number space: Part I, Fuzzy Sets and Systems, 44(1) (1991), 33-38. https://doi.org/10.1016/0165-0114(91)90030-T [23] W. C. Xin, M. Ming, Embedding problem of fuzzy number space: Part II, Fuzzy Sets and Systems, 45(2) (1992), 189-202. https://doi.org/10.1016/0165-0114(92)90118-N [24] W. C. Xin, M. Ming, Embedding problem of fuzzy number space: Part III, Fuzzy Sets and Systems, 46(2) (1992), 281-286. https://doi.org/10.1016/0165-0114(92)90142-Q [25] W. H. Young, A note on monotone functions, Quarterly Journal of Mathematics, Oxford Series, 41 (1910), 79-87.
[26] H. J. Zimmermann, Fuzzy set theory and its applications, 4th Edition, Kluwer Academic Publishers, (2001). https: //doi.org/10.1007/978-94-010-0646-0 | ||
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